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All the ideas for 'Frege's Concept of Numbers as Objects', 'The Ethics' and 'Posterior Analytics'

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285 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
The wisdom of a free man is a meditation on life, not on death [Spinoza]
     Full Idea: A free man thinks of nothing less than of death, and his wisdom is a meditation on life, not on death.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 67)
     A reaction: Life and death are not so easy to separate. You could hardly be wise about life if you didn't incorporate its finite duration into your wisdom.
If we are not wholly wise, we should live by good rules and maxims [Spinoza]
     Full Idea: The best thing we can do, so long as we lack a perfect knowledge of our feelings, is to conceive a right rule of life, or sure maxims of life - to commit these to memory, and constantly apply these to particular cases.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 10)
     A reaction: This seems to be the role of folk wisdom - to try to plant guidance in the heads of the not-so-wise.
1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
     Full Idea: We can learn from the work of philosophers of other periods only if we are prepared to run the risk of radical and almost inevitable misrepresentation of his thought.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Pref)
     A reaction: This sounds about right, and a motto for my own approach to Aristotle and Leibniz, but I see the effort as more collaborative than this suggests. Professional specialists in older philosophers are a vital part of the team. Read them!
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
We must be careful to keep words distinct from ideas and images [Spinoza]
     Full Idea: It is necessary that we should distinguish between ideas and the words by which things are signified. ...Images, words, and ideas are by many people altogether confounded.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
2. Reason / A. Nature of Reason / 1. On Reason
There is pure deductive reasoning, and explanatory demonstration reasoning [Aristotle, by Politis]
     Full Idea: Aristotle distinguishes between deductive reasoning (sullogismos) and demonstration (apodeixis). All demonstration is deductive reasoning, but not all deductive reasoning is demonstration.
     From: report of Aristotle (Posterior Analytics [c.327 BCE], Bk I.2) by Vassilis Politis - Aristotle and the Metaphysics 5.3
     A reaction: This sounds not far off the distinction between single-turnstile (formal proof) and double-turnstile (semantic consequence). Politis says, though, that the key point is the demonstration is explanatory.
2. Reason / A. Nature of Reason / 3. Pure Reason
Reason only explains what is universal, so it is timeless, under a certain form of eternity [Spinoza]
     Full Idea: The foundations of reason are notions which explain those things which are common to all, and these things explain the essence of no individual thing, and must therefore be conceived without any relation to time, but under a certain form of eternity.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 44)
     A reaction: You have to be totally inspired by this even if you totally disagree with it.
Reason perceives things under a certain form of eternity [Spinoza]
     Full Idea: It is in the nature of reason to perceive things under a certain form of eternity ('sub quadam aeternitatis specie').
     From: Baruch de Spinoza (The Ethics [1675], II Pr 44)
     A reaction: A wonderful, and justly famous, remark. If you don't feel the force (and poetry!) of this, you aren't a philosopher. It is not only appealing, but I don't see how it can fail to be true. Try producing good reasons which only have temporary force.
2. Reason / A. Nature of Reason / 4. Aims of Reason
In so far as men live according to reason, they will agree with one another [Spinoza]
     Full Idea: Men necessarily always agree with one another in so far as they live according to the guidance of reason.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 35)
     A reaction: I think this was my earliest motivation for getting interested in philosophy. Oddly, the Socratic tradition of philosophy is to challenge and criticise, but the aim is agreement. I sort of believe this idea, despite its wild idealism.
2. Reason / A. Nature of Reason / 6. Coherence
Maybe everything could be demonstrated, if demonstration can be reciprocal or circular [Aristotle]
     Full Idea: Some optimists think understanding arises only through demonstration, but say there could be demonstration of everything, for it is possible to demonstrate in a circle or reciprocally.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72b16)
     A reaction: I'm an optimist in this sense, though what is being described would probably best be called 'large-scale coherence'. Two reciprocal arguments look bad, but a hundred look good.
2. Reason / B. Laws of Thought / 2. Sufficient Reason
There is necessarily for each existent thing a cause why it should exist [Spinoza]
     Full Idea: There is necessarily for each existent thing a cause why it should exist.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 08 n2)
     A reaction: The obvious response is 'how do you know that?' It has to the sort of a priori commitment we expect from a rationalist philosopher. It seems to me quite an appealing candidate for an axiom of human understanding.
2. Reason / B. Laws of Thought / 4. Contraries
Two falsehoods can be contrary to one another [Aristotle]
     Full Idea: There are falsehoods which are contrary to one another and cannot be the case together e.g. that a man is a horse or a cow.
     From: Aristotle (Posterior Analytics [c.327 BCE], 88a29)
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
     Full Idea: The most productive way in which to attempt an understanding of any philosophical idea is to work on its defence.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.vii)
     A reaction: Very nice. The key point is that this brings greater understanding than working on attacking an idea, which presumably has the dangers of caricature, straw men etc. It is the Socratic insight that dialectic is the route to wisdom.
2. Reason / D. Definition / 4. Real Definition
Definitions are of what something is, and that is universal [Aristotle]
     Full Idea: Definitions are thought to be of what something is, and what something is is in every case universal and positive.
     From: Aristotle (Posterior Analytics [c.327 BCE], 90b05)
     A reaction: This is exhibit A for those who think that Aristotelian essences concern the genus, rather than the particular. I suspect that this idea is best expressed as 'all we can say by way of definition of a particular thing involves the use of universals'.
An Aristotelian definition is causal [Aristotle, by Witt]
     Full Idea: An Aristotelian definition is causal.
     From: report of Aristotle (Posterior Analytics [c.327 BCE], Bk II.2) by Charlotte Witt - Substance and Essence in Aristotle 1.5
     A reaction: [She refers us to Posterior Analytics II.2] This is important if we are tempted to follow a modern line of saying that we want Aristotelian essences, and that these are definitions. We ain't thinking of dictionaries.
Definition by division needs predicates, which are well ordered and thorough [Aristotle]
     Full Idea: To establish a definition through division, you must aim for three things: you must take what is predicated in what the thing is; you must order these items as first or second; and you must ensure that these are all there are.
     From: Aristotle (Posterior Analytics [c.327 BCE], 97a23)
     A reaction: This gives an indication of the thoroughness that Aristotle expects from a definition. They aren't like dictionary definitions of words. He expects definitions to often be very lengthy (see Idea 12292).
You can define objects by progressively identifying what is the same and what is different [Aristotle]
     Full Idea: Find what is in common among items similar and undifferentiated, then do the same for items of the same kind as the first group but a different form, and so on, till you come to a single account: this will be the definition of the object.
     From: Aristotle (Posterior Analytics [c.327 BCE], 97b07-14)
     A reaction: [His example is distinguishing 'magnanimity' from 'indifference to fortune' among people] Presumably this process works for the formation of new concepts (e.g. in biology), as well as for the definition of familiars in terms of other familiars.
2. Reason / D. Definition / 6. Definition by Essence
What it is and why it is are the same; screening defines and explains an eclipse [Aristotle]
     Full Idea: What it is and why it is are the same. What is an eclipse? Privation of light from the moon by screening of the earth. Why is there an eclipse? ...What is a harmony? A numerical ratio between high and low. Why do the high and low harmonize? The ratio.
     From: Aristotle (Posterior Analytics [c.327 BCE], 90a15)
     A reaction: This is right at the heart of Aristotelian essentialism, and (I take it) modern scientific essentialism. If you fully know what cigarette tars are, and what human cell structure is, you understand immediately why cigarettes cause cancer.
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
     Full Idea: Frege gave up on the attempt to introduce natural numbers by contextual definition, but the project has been revived by neo-logicists.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Kit Fine - The Limits of Abstraction II
3. Truth / A. Truth Problems / 1. Truth
Truth is its own standard [Spinoza]
     Full Idea: Truth is its own standard.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 43S)
     A reaction: A gloriously bold solution to all the problems of epistemology. Read the whole of P43S to see the context.
3. Truth / A. Truth Problems / 3. Value of Truth
Spinoza's life shows that love of truth which he proclaims as the highest value [MacIntyre on Spinoza]
     Full Idea: Spinoza's life unites philosophy and practice; he manifests that very impersonal love of truth which he proclaims in his writings as the highest human value.
     From: comment on Baruch de Spinoza (The Ethics [1675]) by Alasdair MacIntyre - A Short History of Ethics Ch.10
     A reaction: Spinoza has become a secular saint in our times. If the big three values are Beauty, Goodness and Truth, why should the third be given top status? I once heard a philosopher say that truth was the only value.
3. Truth / A. Truth Problems / 8. Subjective Truth
For Spinoza, 'adequacy' is the intrinsic mark of truth [Spinoza, by Scruton]
     Full Idea: For Spinoza, the intrinsic mark of truth is the property which he calls 'adequacy'.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Roger Scruton - Short History of Modern Philosophy §5.6
     A reaction: This is presumably the sort of theory to which early rationalists were confined, and it seems to be no advance on Descartes' 'clear and distinct conceptions'. I take it that the coherence theory is a better account of what they were after.
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
A true idea must correspond with its ideate or object [Spinoza]
     Full Idea: A true idea must correspond with its ideate or object.
     From: Baruch de Spinoza (The Ethics [1675], I Ax 6)
     A reaction: Allowing for his usage of 'idea' and 'object', this seems to be a straightforward commitment to the modern correspondence theory, perhaps the earliest clear statement of it. I agree with him.
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
An axiom is a principle which must be understood if one is to learn anything [Aristotle]
     Full Idea: An axiom is a principle which must be grasped if anyone is going to learn anything whatever.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a17)
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Demonstrations by reductio assume excluded middle [Aristotle]
     Full Idea: Demonstrations by reduction to the impossible assume that everything is asserted or denied.
     From: Aristotle (Posterior Analytics [c.327 BCE], 77a23)
     A reaction: This sounds like the lynchpin of classical logic.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]
     Full Idea: Something holds universally when it is proved of an arbitrary and primitive case.
     From: Aristotle (Posterior Analytics [c.327 BCE], 73b33)
     A reaction: A key idea in mathematical logic, but it always puzzles me. If you snatch a random person in London, and they are extremely tall, does that prove that people of London are extremely tall? How do we know the arbitrary is representative?
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
If our ideas are adequate, what follows from them is also adequate [Spinoza]
     Full Idea: Whatever ideas follow in the mind from ideas which are adequate in the mind are also adequate.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 40)
     A reaction: This appears to be Modus Ponens, and he calls it (in Sch 1) 'the foundations of our reasoning'. If 'adequate' ideas are knowledge, then this also seems to say that knowledge is closed under known implication.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Everything is either asserted or denied truly [Aristotle]
     Full Idea: Of the fact that everything is either asserted or denied truly, we must believe that it is the case.
     From: Aristotle (Posterior Analytics [c.327 BCE], 71a14)
     A reaction: Presumably this means that every assertion which could possibly be asserted must come out as either true or false. This will have to include any assertions with vague objects or predicates, and any universal assertions, and negative assertions.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
     Full Idea: For Wright, an expression refers to an object if it fulfils the 'syntactic role' of a singular term, and if we have fixed the truth-conditions of sentences containing it in such a way that some of them come out true.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michael Dummett - Frege philosophy of mathematics Ch.15
     A reaction: Much waffle is written about reference, and it is nice to hear of someone actually trying to state the necessary and sufficient conditions for reference to be successful. So is it possible for 'the round square' to ever refer? '...is impossible to draw'
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]
     Full Idea: Aristotle's way with axioms, rather than Euclid's, is as assumptions which we are willing to agree on while awaiting an opportunity to prove them
     From: report of Aristotle (Posterior Analytics [c.327 BCE], 76b23-) by Gottfried Leibniz - New Essays on Human Understanding 4.07
     A reaction: Euclid's are understood as basic self-evident truths which will be accepted by everyone, though the famous parallel line postulate undermined that. The modern view of axioms is a set of minimum theorems that imply the others. I like Aristotle.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is concerned with forms, not with superficial properties [Aristotle]
     Full Idea: Mathematics is concerned with forms [eide]: its objects are not said of any underlying subject - for even if geometrical objects are said of some underlying subject, still it is not as being said of an underlying subject that they are studied.
     From: Aristotle (Posterior Analytics [c.327 BCE], 79a08)
     A reaction: Since forms turn out to be essences, in 'Metaphysics', this indicates an essentialist view of mathematics.
Mathematics deals with the essences and properties of forms [Spinoza]
     Full Idea: Mathematics does not deal with ends, but with the essences and properties of forms (figures), …and has placed before us another rule of truth.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
     A reaction: Just what I need - a nice clear assertion of essentialism in mathematics. Many say maths is all necessary, so essence is irrelevant, but I say explanations occur in mathematics, and that points to essentialism.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The essence of a triangle comes from the line, mentioned in any account of triangles [Aristotle]
     Full Idea: Something holds of an item in itself if it holds of it in what it is - e.g., line of triangles and point of lines (their essence comes from these items, which inhere in the account which says what they are).
     From: Aristotle (Posterior Analytics [c.327 BCE], 73a35)
     A reaction: A helpful illustration of how a definition gives us the essence of something. You could not define triangles without mentioning straight lines. The lines are necessary features, but they are essential for any explanation, and for proper understanding.
The sum of its angles follows from a triangle's nature [Spinoza]
     Full Idea: It follows from the nature of a triangle that its three angles are equal to two right angles.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 57)
     A reaction: This is the essentialist view of mathematics, which I take to be connected to explanation, which I take to be connected to the direction of explanation.
The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]
     Full Idea: The idea of the triangle must involve the affirmation that its three angles are equal to two right angles. Therefore this affirmation pertains to the essence of the idea of a triangle.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
     A reaction: This seems to say that the essence is what is inescapable when you think of something. Does that mean that brandy is part of the essence of Napoleon? (Presumably not) Spinoza is ignoring the direction of explanation here.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
     Full Idea: In the Fregean view number theory is a science, aimed at those truths furnished by the essential properties of zero and its successors. The two broad question are then the nature of the objects, and the epistemology of those facts.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
     A reaction: [compressed] I pounce on the word 'essence' here (my thing). My first question is about the extent to which the natural numbers all have one generic essence, and the extent to which they are individuals (bless their little cotton socks).
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
     Full Idea: Someone could be clear about number identities, and distinguish numbers from other things, without conceiving them as ordered in a progression at all. The point of them would be to make comparisons between sizes of groups.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv)
     A reaction: Hm. Could you grasp size if you couldn't grasp which of two groups was the bigger? What's the point of noting that I have ten pounds and you only have five, if you don't realise that I have more than you? You could have called them Caesar and Brutus.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A unit is what is quantitatively indivisible [Aristotle]
     Full Idea: Arithmeticians posit that a unit is what is quantitatively indivisible.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a22)
     A reaction: Presumably indeterminate stuff like water is non-quantitatively divisible (e.g. Moses divides the Red Sea), as are general abstracta (curved shapes from rectilinear ones). Does 'quantitative' presupposes units, making the idea circular?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
     Full Idea: The invitation to number the instances of some non-sortal concept is intelligible only if it is relativised to a sortal.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
     A reaction: I take this to be an essentially Fregean idea, as when we count the boots when we have decided whether they fall under the concept 'boot' or the concept 'pair'. I also take this to be the traditional question 'what units are you using'?
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
     Full Idea: Wright is claiming that HP is a special sort of truth in some way: it is supposed to be the fundamental truth about cardinality; ...in particular, HP is supposed to be more fundamental, in some sense than the Dedekind-Peano axioms.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 1
     A reaction: Heck notes that although PA can be proved from HP, HP can be proven from PA plus definitions, so direction of proof won't show fundamentality. He adds that Wright thinks HP is 'more illuminating'.
There are five Peano axioms, which can be expressed informally [Wright,C]
     Full Idea: Informally, Peano's axioms are: 0 is a number, numbers have a successor, different numbers have different successors, 0 isn't a successor, properties of 0 which carry over to successors are properties of all numbers.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
     A reaction: Each statement of the famous axioms is slightly different from the others, and I have reworded Wright to fit him in. Since the last one (the 'induction axiom') is about properties, it invites formalization in second-order logic.
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
     Full Idea: The intuitive proposal is the essential number theoretic truths are precisely the logical consequences of the Peano axioms, ...but the notion of consequence is a semantic one...and it is not obvious that we possess a semantic notion of the requisite kind.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
     A reaction: (Not sure I understand this, but it is his starting point for rejecting PA as the essence of arithmetic).
What facts underpin the truths of the Peano axioms? [Wright,C]
     Full Idea: We incline to think of the Peano axioms as truths of some sort; so there has to be a philosophical question how we ought to conceive of the nature of the facts which make those statements true.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
     A reaction: [He also asks about how we know the truths]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
     Full Idea: We teach our children to count, sometimes with no attempt to explain what the sounds mean. Doubtless it is this habit which makes it so natural to think of the number series as fundamental. Frege's insight is that sameness of number is fundamental.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv)
     A reaction: 'When do children understand number?' rather than when they can recite numerals. I can't make sense of someone being supposed to understand number without a grasp of which numbers are bigger or smaller. To make 13='15' do I add or subtract?
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
     Full Idea: Wright says the Fregean arithmetic can be broken down into two steps: first, Hume's Law may be derived from Law V; and then, arithmetic may be derived from Hume's Law without any help from Law V.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Kit Fine - The Limits of Abstraction I.4
     A reaction: This sounds odd if Law V is false, but presumably Hume's Law ends up as free-standing. It seems doubtful whether the resulting theory would count as logic.
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
     Full Idea: Wright proposed removing Frege's basic law V (which led to paradox), replacing it with Frege's 'number principle' (identity of numbers is one-to-one correspondence). The new system is formally consistent, and the Peano axioms can be derived from it.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michčle Friend - Introducing the Philosophy of Mathematics 3.7
     A reaction: The 'number principle' is also called 'Hume's principle'. This idea of Wright's resurrected the project of logicism. The jury is ought again... Frege himself questioned whether the number principle was a part of logic, which would be bad for 'logicism'.
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
     Full Idea: Wright intends the claim that Hume's Principle (HP) embodies an explanation of the concept of number to imply that it is analytic of the concept of cardinal number - so it is an analytic or conceptual truth, much as a definition would be.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 1
     A reaction: Boolos is quoted as disagreeing. Wright is claiming a fundamental truth. Boolos says something can fix the character of something (as yellow fixes bananas), but that doesn't make it 'fundamental'. I want to defend 'fundamental'.
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
     Full Idea: What is fundamental to possession of any notion of natural number at all is not the knowledge that the numbers may be arrayed in a progression but the knowledge that they are identified and distinguished by reference to 1-1 correlation among concepts.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv)
     A reaction: My question is 'what is the essence of number?', and my inclination to disagree with Wright on this point suggests that the essence of number is indeed caught in the Dedekind-Peano axioms. But what of infinite numbers?
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
     Full Idea: Identifying numbers with extensions will not solve the Caesar problem for numbers unless we have already solved the Caesar problem for extensions.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xiv)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
     Full Idea: Number-theoretic platonism is just the thesis that natural number is a sortal concept.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
     A reaction: See Crispin Wright on sortals to expound this. An odd way to express platonism, but he is presenting the Fregean version of it.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
     Full Idea: We may not be able to settle whether some general form of empiricism is correct independently of natural numbers. It might be precisely our grasp of the abstract sortal, natural number, which shows the hypothesis of empiricism to be wrong.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
     A reaction: A nice turning of the tables. In the end only coherence decides these things. You may accept numbers and reject empiricism, and then find you have opened the floodgates for abstracta. Excessive floodgates, or blockages of healthy streams?
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
     Full Idea: Treating numbers adjectivally is, in effect, treating the numbers as quantifiers. Frege observes that we can always parse out any apparently adjectival use of a number word in terms of substantival use.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iii)
     A reaction: The immediate response to this is that any substantival use can equally be expressed adjectivally. If you say 'the number of moons of Jupiter is four', I can reply 'oh, you mean Jupiter has four moons'.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
     Full Idea: The Peano Axioms are logical consequences of a statement constituting the core of an explanation of the notion of cardinal number. The infinity of cardinal numbers emerges as a consequence of the way cardinal number is explained.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xix)
     A reaction: This, along with Idea 13896, nicely summarises the neo-logicist project. I tend to favour a strategy which starts from ordering, rather than identities (1-1), but an attraction is that this approach is closer to counting objects in its basics.
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
     Full Idea: We shall endeavour to see whether it is possible to follow through the strategy adumbrated in 'Grundlagen' for establishing the Peano Axioms without at any stage invoking classes.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xvi)
     A reaction: The key idea of neo-logicism. If you can avoid classes entirely, then set theory paradoxes become irrelevant, and classes aren't logic. Philosophers now try to derive the Peano Axioms from all sorts of things. Wright admits infinity is a problem.
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
     Full Idea: Crispin Wright has reactivated Frege's logistic program, which for decades just about everybody assumed was a lost cause.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by José A. Benardete - Logic and Ontology 3
     A reaction: [This opens Bernadete's section called "Back to Strong Logicism?"]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
     Full Idea: Most would cite Russell's paradox, the non-logical character of the axioms which Russell and Whitehead's reconstruction of Frege's enterprise was constrained to employ, and the incompleteness theorems of Gödel, as decisive for logicism's failure.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
     Full Idea: The general view is that Russell's Paradox put paid to Frege's logicist attempt, and Russell's own attempt is vitiated by the non-logical character of his axioms (esp. Infinity), and by the incompleteness theorems of Gödel. But these are bad reasons.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xvi)
     A reaction: Wright's work is the famous modern attempt to reestablish logicism, in the face of these objections.
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
     Full Idea: I have the gravest doubts whether any coherent account could be given of any multiplicity of senses of 'exist'.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 2.x)
     A reaction: I thoroughly agree with this thought. Do water and wind exist in different senses of 'exist'?
Outside the mind, there are just things and their properties [Spinoza]
     Full Idea: Outside the intellect, there is nothing but substances and their affections.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 04)
     A reaction: This is pretty close to the very sparse ontology espoused by modern philosophers who take their lead from the logic.
The more reality a thing has, the more attributes it has [Spinoza]
     Full Idea: The more reality or being a thing possesses, the more attributes belong to it.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 09)
     A reaction: This commitment to degrees of existence (which I find baffling) is presumably to enable God to be the thing with infinite attributes, and an infinite degree of Being. What percentage of Being would you say you've got (on a good day)?
7. Existence / A. Nature of Existence / 5. Reason for Existence
There must always be a reason or cause why some triangle does or does not exist [Spinoza]
     Full Idea: If a triangle exists, there must be a reason or cause why it exists; and if it does not exist, there must be a reason or cause which hinders its existence or which negates it.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 11)
     A reaction: Hm. Spinoza is setting up a defence of the ontological argument, which seems to require that he lower his normal high standards of argument.
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Men say they prefer order, not realising that we imagine the order [Spinoza]
     Full Idea: Men prefer order to confusion, as if order were something in nature apart from our own imagination.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
7. Existence / D. Theories of Reality / 5. Naturalism
Laws of nature are universal, so everything must be understood through those laws [Spinoza]
     Full Idea: Nature's laws ....are everywhere and always the same; so that there should be one and the same method of understanding the nature of all things whatsoever, namely through nature's universal laws and rules.
     From: Baruch de Spinoza (The Ethics [1675], III Pref)
     A reaction: Leiter calls this Methodological Naturalism, which says that the procedures and findings of philosophy should conform to those of science. I think I'm also a Substantive Naturalist, who says 'that's all there is'.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
     Full Idea: When a class of terms functions as singular terms, and the sentences are true, then those terms genuinely refer. Being singular terms, their reference is to objects. There is no further question whether they really refer, and there are such objects.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iii)
     A reaction: This seems to be a key sentence, because this whole view is standardly called 'platonic', but it certainly isn't platonism as we know it, Jim. Ontology has become an entirely linguistic matter, but do we then have 'sakes' and 'whereaboutses'?
8. Modes of Existence / B. Properties / 3. Types of Properties
An 'attribute' is what the intellect takes as constituting an essence [Spinoza]
     Full Idea: By 'attribute' I understand that which the intellect perceives of substance, as if constituting its essence.
     From: Baruch de Spinoza (The Ethics [1675], I Def 4)
     A reaction: Note that we would call these 'properties', but Spinoza has a word reserved for the properties of essences. He also has 'modes' of a thing, which are different.
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
To seek truth, study the real connections between subjects and attributes [Aristotle]
     Full Idea: If, however, one is aiming at truth, one must be guided by the real connexions of subjects and attributes.
     From: Aristotle (Posterior Analytics [c.327 BCE], 81b22), quoted by George Engelbretsen - Trees, Terms and Truth 3
     A reaction: I take this to be a warning that predicates that indicate mere 'Cambridge properties' (such as relations, locations, coincidences etc) have nothing to do with ontology. See Shoemaker on properties.
8. Modes of Existence / B. Properties / 8. Properties as Modes
A 'mode' is an aspect of a substance, and conceived through that substance [Spinoza]
     Full Idea: By 'mode' I understand the affections [affectiones] of substance, or that which is in another thing through which also it is conceived.
     From: Baruch de Spinoza (The Ethics [1675], I Def 5)
     A reaction: The attributes actually make up the essential consitution of the thing, and then the modes are entirely dependent on that essence. This is thoroughly Aristotelian, even though 'substantial forms' had been given up by this date.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Things persevere through a force which derives from God [Spinoza]
     Full Idea: The force by which each thing perseveres in its existence follows from the eternal necessity of the nature of God.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 45)
     A reaction: This I take to be an ontology of fundamental powers, but with divine backing, similar to that found in Leibniz. Modern powers theorists leave out God, since it doesn't seem to add anything. [Is this the idea of 'conatus'?] Darwin can't explain the force.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The essence of a thing is its effort to persevere [Spinoza]
     Full Idea: The effort by which each thing endeavours to persevere in its own being is nothing but the actual essence of the thing itself.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 07)
     A reaction: This is exactly the sort of thing that Leibniz frequently said. They were much more conscious of the active power of essences than in the scholastic tradition. This is Nietzsche's will to power. Spinoza talks of 'power' in his demonstration of this.
8. Modes of Existence / D. Universals / 2. Need for Universals
Separate Forms aren't needed for logic, but universals (one holding of many) are essential [Aristotle]
     Full Idea: There need be no forms (one item apart from the many) for demonstrations. But there must be universals, where one thing holds of the many. Without universals there are no middle terms, and so no demonstrations.
     From: Aristotle (Posterior Analytics [c.327 BCE], 77a05)
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
We can forget the Forms, as they are irrelevant, and not needed in giving demonstrations [Aristotle]
     Full Idea: We can say goodbye to the forms. They are nonny-noes; and if there are any they are irrelevant - for demonstrations are not concerned with them.
     From: Aristotle (Posterior Analytics [c.327 BCE], 83a34)
The 'universal' term 'man' is just imagining whatever is the same in a multitude of men [Spinoza]
     Full Idea: Confused notions called 'universal', such as 'man', have arisen because so many images of individual men are formed that they exceed the power of imagination, ...so it imagines that only in which all of them agree, ...expressed by the name 'man'.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 40)
     A reaction: [very compressed] This strikes me as correct. I don't see how you can discuss universals without bringing in the way in which human psychology operates.
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
     Full Idea: Wright says we should accord to contextually defined abstract terms a genuine full-blown reference to objects.
     From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michael Dummett - Frege philosophy of mathematics Ch.18
     A reaction: This is the punch line of Wright's neo-logicist programme. See Idea 9868 for his view of reference. Dummett regards this strong view of contextual definition as 'exorbitant'. Wright's view strikes me as blatantly false.
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
     Full Idea: The claim that no concept counts as sortal if an instance of it can survive its loss, runs foul of so-called phase sortals like 'embryo' and 'chrysalis'.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
     A reaction: The point being that those items only fall under that sortal for one phase of their career, and of their identity. I've always thought such claims absurd, and this gives a good reason for my view.
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Why are being terrestrial and a biped combined in the definition of man, but being literate and musical aren't? [Aristotle]
     Full Idea: Why will a man be a two-footed terrestrial animal and not an animal and terrestrial? Assumptions do not make it necessary that what is predicated form a unity - rather, it is as if the same man were musical and literate.
     From: Aristotle (Posterior Analytics [c.327 BCE], 92a30)
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A thing is unified if its parts produce a single effect [Spinoza]
     Full Idea: If a number of individuals so unite in one action that they are all simultaneously the cause of one effect, I consider them all, so far, as one individual thing.
     From: Baruch de Spinoza (The Ethics [1675], II Def 7)
     A reaction: Interesting. If a mob burn down a town, is that one effect, making the mob one thing? If a ball breaks a window, is that one effect, or a multitude of knock-on effects? Spinoza's view is very coarse-grained.
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
Spinoza implies that thought is impossible without the notion of substance [Spinoza, by Scruton]
     Full Idea: Without the notion of substance, according to Spinoza, thought itself becomes impossible.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Roger Scruton - Short History of Modern Philosophy §5.2
     A reaction: Spinoza's strategy here looks like the right way to approach metaphysics. To what extent is it possible to change our conceptual scheme? Quine seems to imply that there is no limit; Davidson seems to imply that it is impossible.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Units are positionless substances, and points are substances with position [Aristotle]
     Full Idea: A unit is a positionless substance, and a point a substance having position.
     From: Aristotle (Posterior Analytics [c.327 BCE], 87a36)
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is the power of self-actualisation [Spinoza, by Lord]
     Full Idea: For Spinoza a substance is not a 'thing', but the power of actualising its own existence.
     From: report of Baruch de Spinoza (The Ethics [1675], I Pr 08) by Beth Lord - Spinoza's Ethics 1 P11
     A reaction: Does this say anything?
Substance is that of which an independent conception can be formed [Spinoza]
     Full Idea: By substance I mean that which is in itself, and is conceived through itself; in other words, that of which a conception can be formed independently of any other conception.
     From: Baruch de Spinoza (The Ethics [1675], I Def 3)
     A reaction: A striking blurring of epistemology and ontology. He eventually settles for it being a concept rather than a fact of nature. It still begs a thousand questions, but it probably leads to monads and logical atoms.
9. Objects / D. Essence of Objects / 1. Essences of Objects
The essence of a thing is what is required for it to exist or be conceived [Spinoza]
     Full Idea: Many assert that that without which a thing cannot be nor be conceived, belongs to the essence of that thing.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 10)
     A reaction: This is one Aristotelian idea that won't go away, despite the seventeenth century onslaught. It seems obvious that natural kinds, natural objects and human artefacts have properties that can be divided into essential and non-essential.
9. Objects / D. Essence of Objects / 4. Essence as Definition
Definitions recognise essences, so are not themselves essences [Aristotle]
     Full Idea: If a definition is the recognition of some essence, it is clear that such items are not essences.
     From: Aristotle (Posterior Analytics [c.327 BCE], 90b17)
     A reaction: So definitions are not themselves essences (as some modern thinkers claim). The idea seems obvious to me, but it is a warning against a simplistic view of Aristotelian essences, and a reminder that such things are real, not verbal.
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essence gives existence and conception to things, and is inseparable from them [Spinoza]
     Full Idea: To the essence of anything pertains ...that without which the thing can neither be nor be conceived, and which in its turn cannot be nor be conceived without the thing.
     From: Baruch de Spinoza (The Ethics [1675], II Def 2)
     A reaction: Note that essence concerns not only what things are, but also our ability to conceive them.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Nothing is essential if it is in every part, and is common to everything [Spinoza]
     Full Idea: That which is common to everything, and which is equally in the part and in the whole, forms the essence of no individual thing.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 37)
     A reaction: I like this, because treating essences as mere necessary properties threatens to include utter trivia and universal generalities, just because they are necessary. Rejecting things as 'trivial' by stipulation won't do.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
The predicates of a thing's nature are necessary to it [Aristotle]
     Full Idea: Whatever is predicated in what something is is necessary.
     From: Aristotle (Posterior Analytics [c.327 BCE], 96b03)
     A reaction: This does NOT say that the essence is just the necessities. He goes on to say to say separately that certain properties of a triplet are part of the essence, as well as being necessary. This shows the nature of a thing is also necessary.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
All natures of things produce some effect [Spinoza]
     Full Idea: Nothing exists from whose nature an effect does not follow.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 36)
     A reaction: I take it that this is because it is analytic that essences produce effects, since that is the point of the concept of an essence - as the source of the explanations of the effects.
Aristotelian essences are properties mentioned at the starting point of a science [Aristotle, by Kung]
     Full Idea: As Aristotle uses the term 'essence', only those properties which are mentioned in or relatively close to the starting points of the science will be essential.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Joan Kung - Aristotle on Essence and Explanation II
     A reaction: I take this to be the correct way to understand Aristotelian essence - as something understood by its role in scientific explanations. We may, of course, work back to the starting point of a science, by disentangling the mess in the middle.
9. Objects / E. Objects over Time / 11. End of an Object
Only an external cause can destroy something [Spinoza]
     Full Idea: A thing cannot be destroyed except by an external cause.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 04)
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
There cannot be two substances with the same attributes [Spinoza]
     Full Idea: In nature there cannot be two or more substances of the same nature or attribute.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 05)
     A reaction: This is the Identity of Indiscernibles.
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Two substances can't be the same if they have different attributes [Spinoza]
     Full Idea: Two substances having different attributes have nothing in common with one another.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 02)
     A reaction: This is the contrapositive of Leibniz's Law (i.e of the Indiscernibility of Identicals). Same things must have same attributes, so if the attributes differ they can't be the same things.
10. Modality / A. Necessity / 2. Nature of Necessity
What is necessary cannot be otherwise [Aristotle]
     Full Idea: What is necessary cannot be otherwise.
     From: Aristotle (Posterior Analytics [c.327 BCE], 88b32)
     A reaction: If the next interesting question is the source of necessity, then the question seems to be 'what prevents it from being otherwise?'.
10. Modality / A. Necessity / 3. Types of Necessity
A stone travels upwards by a forced necessity, and downwards by natural necessity [Aristotle]
     Full Idea: There are two types of necessity, one according to nature and impulse, the other by force and contrary to impulse. A stone travels upwards and downwards from different necessities.
     From: Aristotle (Posterior Analytics [c.327 BCE], 94b38)
10. Modality / A. Necessity / 10. Impossibility
Things are impossible if they imply contradiction, or their production lacks an external cause [Spinoza]
     Full Idea: A thing is said to be impossible either because the essence of the thing itself or its definition involves a contradiction, or because no external cause exists determinate to the production of such a thing.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 33)
     A reaction: Is the contradiction in nature or in logic? How can he be sure that there doesn't exist some causeless thing?
10. Modality / B. Possibility / 5. Contingency
Contingency is an illusion, resulting from our inadequate understanding [Spinoza, by Cottingham]
     Full Idea: The common notion of 'contingency' is for Spinoza an illusion, which derives from the fact that our view of reality is often inadequate and incomplete.
     From: report of Baruch de Spinoza (The Ethics [1675]) by John Cottingham - The Rationalists p.8
     A reaction: The crux is if there could another universe with different natural laws. Spinoza is in no position to deny the possibility. Cosmologists assume it is possible, and run computer simulations to test it. There is 'metaphysical' and 'natural' necessity.
We only call things 'contingent' in relation to the imperfection of our knowledge [Spinoza]
     Full Idea: A thing can in no respect be called contingent, save in relation to the imperfection of our knowledge.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 33)
     A reaction: A very good remark. Growing up is largely a realisation of the necessity of human affairs that you thought could be otherwise. (Forgive the pessimism!) As metaphysics, I find this appealing, too.
Reason naturally regards things as necessary, and only imagination considers them contingent [Spinoza]
     Full Idea: It is not in the nature of reason to regard things as contingent, but as necessary; ..hence, it is only through our imagination that we consider things, whether in respect to the future or to the past, as contingent.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 44)
     A reaction: A very interesting claim, which seems to be central to rationalism. The empiricist response must be that imagination (which is founded on experience) is a better guide to metaphysical status than pure reason can ever be.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Divine nature makes all existence and operations necessary, and nothing is contingent [Spinoza]
     Full Idea: All things are conditioned by the necessity of the divine nature, not only to exist, but also to exist and operate in a particular manner, and there is nothing that is contingent.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 29)
     A reaction: This obviously invites the response of the empiricist: how does he know that? Hume says he can't know it, and Leibniz says he knows it a priori. Traditionally, 'necessary' is the dubious term, but maybe it is 'contingent' which is meaningless.
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Necessity is in reference to essence or to cause [Spinoza]
     Full Idea: A thing is called necessary either in reference to its essence or its cause.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 33)
     A reaction: I like any proposal that necessity should be 'in reference to' something, rather than being free-standing. I like to add necessary 'for' something, which is often conceptual necessity. Roots are necessary for trees.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
People who are ignorant of true causes imagine anything can change into anything else [Spinoza]
     Full Idea: Those who are ignorant of true causes make complete confusion - thinking that trees might talk just as well as men, that men might be formed from stones as well as seed, and imagine that any form might be changed into any other.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 08 n2)
     A reaction: Spinoza himself can be guilty of this, but it strikes me as a key idea. Humean scepticism about causation seems to me the product of eighteenth century ignorance about the mechanisms of cause and effect which have since been uncovered by science.
Error does not result from imagining, but from lacking the evidence of impossibility [Spinoza]
     Full Idea: The mind does not err from the fact that it imagines, but only insofar as it is considered to lack an idea which excludes the existence of those things which it imagines to be present to it.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 17 s)
     A reaction: These may be the wisest words I have yet found on conceivability and possibility. My example is imagining a bonfire on the moon, which seems possible until you fully grasp what fire is.
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
A horse would be destroyed if it were changed into a man or an insect [Spinoza]
     Full Idea: A horse would as much be destroyed if it were changed into a man as if it were changed into an insect.
     From: Baruch de Spinoza (The Ethics [1675], IV Pref)
     A reaction: He has been referring to essences of things. What if a shire horse is changed into a Shetland pony? If you watched the horse transmute, it would be continuous in a way that two separate creatures are not. Some sort of sameness there.
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
A thing is contingent if nothing in its essence determines whether or not it exists [Spinoza]
     Full Idea: I call individual things contingent in so far as we discover nothing, whilst we attend to their essence alone, which necessarily posits their existence or which necessarily excludes it.
     From: Baruch de Spinoza (The Ethics [1675], IV Def 3)
     A reaction: So something could have an essence which determined that it could not exist, which is presumably a contradiction. That's a very strange sort of essence. Presumably all intrinsically contradictory essences are in some way the same.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
For Aristotle knowledge is explanatory, involving understanding, and principles or causes [Aristotle, by Witt]
     Full Idea: For Aristotle, knowledge is explanatory, for to know something is to understand it, and to understand something is to grasp its principles or causes.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Charlotte Witt - Substance and Essence in Aristotle 1.2
     A reaction: Thus the kind of 'knowledge' displayed in quiz shows would not count as knowledge at all, if it was mere recall of facts. To know is to be able to explain, which is to be able to teach. See Idea 11241.
'Episteme' means grasping causes, universal judgments, explanation, and teaching [Aristotle, by Witt]
     Full Idea: For Aristotle, a person who has 'episteme' grasps the cause of a given phenomenon, can make a universal judgment about it, can explain it, and can teach others about it.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Charlotte Witt - Substance and Essence in Aristotle 1.2
     A reaction: This I take to be the context in which we should understand what Aristotle means by an 'essence' - it is the source of all of the above, so it both makes a thing what it is, and explains why it shares features with other such things.
The reason why is the key to knowledge [Aristotle]
     Full Idea: Study of the reason why has the most importance for knowledge.
     From: Aristotle (Posterior Analytics [c.327 BCE], 79a24)
     A reaction: I take the study of reasons for belief to be much more central to epistemology than finding ways to answer radical sceptics about the basic possibility of knowledge.
Spinoza's three levels of knowledge are perception/imagination, then principles, then intuitions [Spinoza, by Scruton]
     Full Idea: For Spinoza there are three levels of knowledge: first, sense perception or imagination, second, reasoned reflection leading to principles, and third (the highest), intuition, in which the adequacy of an idea is immediately known.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Roger Scruton - Short History of Modern Philosophy §5.6
     A reaction: This notion of rising levels of knowledge has an obvious background in Plato. The third level is clearly rationalist, where empiricists would probably never aspire to rise above level two. I share the empiricist suspicion of level three.
11. Knowledge Aims / A. Knowledge / 2. Understanding
We understand a thing when we know its explanation and its necessity [Aristotle]
     Full Idea: We understand something simpliciter when we think we know of the explanation because of which the object holds that it is its explanation, and also that it is not possible for it to be otherwise.
     From: Aristotle (Posterior Analytics [c.327 BCE], 71b10)
     A reaction: The second half sounds odd, since we ought to understand that something could have been otherwise, and knowing whether or not it could have been otherwise is part of the understanding. It sounds like Spinozan determinism.
Understanding is the sole aim of reason, and the only profit for the mind [Spinoza]
     Full Idea: All efforts which we make through reason are nothing but efforts to understand, and the mind, in so far as it uses reason, adjudges nothing as profitable to itself excepting that which conduces to understanding.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 26)
     A reaction: I wish philosophers would agree that the aim of their subject is to achieve broad and general understanding of reality - and nothing else. If you want to change the world, that isn't philosophy. If you think understanding is impossible, drop philosophy.
Some understanding, of immediate items, is indemonstrable [Aristotle]
     Full Idea: Not all understanding is demonstrative: rather, in the case of immediate items understanding is indemonstrable.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72b19)
     A reaction: These are the foundations of Aristotle's epistemology, and I take it that they can be both empiricist and rationalist - sense experiences, and a priori intuitions.
We only understand something when we know its explanation [Aristotle]
     Full Idea: We only understand something when we know its explanation.
     From: Aristotle (Posterior Analytics [c.327 BCE], 71b30)
     A reaction: If we believe that the whole aim of philosophy is 'understanding' (Idea 543) - and if it isn't then I am not sure what the aim is, and alternative aims seem a lot less interesting - then we should care very much about explanations, as well as reasons.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
No one has mere belief about something if they think it HAS to be true [Aristotle]
     Full Idea: No one holds something as an opinion when he thinks that it is impossible for it to be otherwise - for then he thinks he understands it.
     From: Aristotle (Posterior Analytics [c.327 BCE], 89a07)
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
Unlike Descartes' atomism, Spinoza held a holistic view of belief [Spinoza, by Schmid]
     Full Idea: Unlike Descartes, who held an atomist theory of belief (that we can assent to a belief quite independently of our other beliefs), Spinoza endorsed a holistic theory of belief - that our degree of affirmation is essentially determined by our other ideas.
     From: report of Baruch de Spinoza (The Ethics [1675], II Pr 49S) by Stephan Schmid - Faculties in Early Modern Philosophy 3
     A reaction: Since I am a fan of the coherence theory of justification, I seem obligated to accept a fairly holistic account of the acceptance of beliefs. Descartes is a foundationalist.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
You only know you are certain of something when you actually are certain of it [Spinoza]
     Full Idea: Who can know that he understands some thing unless he first understands it? That is, who can know that he is certain about some thing unless he is first certain about it?
     From: Baruch de Spinoza (The Ethics [1675], II Pr 43S)
     A reaction: This seems to beg the question, which concerns how you get to the state of full understanding or certainty in the first place. Spinoza thinks only certainty counts as knowledge, which seems to derive from Descartes. I prefer Peirce.
A man who assents without doubt to a falsehood is not certain, but lacks a cause to make him waver [Spinoza]
     Full Idea: When we say that a man assents to what is false and does not doubt it, we do not say that he is certain, but merely that he does not doubt, that is, that he assents to what is false, because there are no causes sufficient to make his imagination waver.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
     A reaction: This is a seventeenth century rationalist desperate to say that the reason can deliver certainty, in the face of idiots who are totally certain about astrology, fairies and what not. Vain hope, I'm afraid. Fallibilist rationalism is required.
True ideas intrinsically involve the highest degree of certainty [Spinoza]
     Full Idea: No one who has a true idea is ignorant that a true idea involves the highest certitude; to have a true idea signifying just this, to know a thing perfectly or as well as possible.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 43)
     A reaction: This wildly optimistic view is found in rationalists of the period. Rationalism only becomes tolerable if fallibilism is added to it. See Bonjour.
Knowledge proceeds from principles, so it is hard to know if we know [Aristotle]
     Full Idea: It is difficult to know whether you know something or not. For it is difficult to know whether or not our knowledge of something proceeds from its principles - and this is what it is to know something.
     From: Aristotle (Posterior Analytics [c.327 BCE], 76a25)
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
'I think' is useless, because it is contingent, and limited to the first person [Spinoza, by Scruton]
     Full Idea: The proposition 'I think' was useless to Spinoza, because it expresses a merely contingent proposition, where certainty must be founded in necessity, and because it refers to the first person, when truth comes from rising above our own mentality.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Roger Scruton - Short History of Modern Philosophy Ch.5
     A reaction: I find both of these criticisms very appealing. One might simply say that the starting point of philosophy is not the process of thinking, but the contents of thinking. Descartes' move is like astronomers becoming obsessed with telescopes.
12. Knowledge Sources / B. Perception / 1. Perception
You cannot understand anything through perception [Aristotle]
     Full Idea: You cannot understand anything through perception. Demonstrations are universal, and universals cannot be perceived.
     From: Aristotle (Posterior Analytics [c.327 BCE], 87b28)
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Some knowledge is lost if you lose a sense, and there is no way the knowledge can be replaced [Aristotle]
     Full Idea: The loss of any one of the senses entails the loss of a corresponding portion of knowledge, and since we learn either by induction or by demonstration, this knowledge cannot be acquired.
     From: Aristotle (Posterior Analytics [c.327 BCE], 81a37)
     A reaction: This suggests Jackson's 'knowledge argument', that raw experience contains some genuine knowledge, for which there is no mechanistic substitute. Not that I accept….
12. Knowledge Sources / B. Perception / 5. Interpretation
If the body is affected by an external object, the mind can't help believing that the object exists [Spinoza]
     Full Idea: If the human body is affected in a manner which involves the nature of any external body, the human mind will regard the said external body as actually existing.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 17)
     A reaction: This is like one of Hume's 'natural beliefs', and seems to me a powerful idea. One of the basic questions of epistemology is, apart from the question 'which beliefs can I justify?', also 'which beliefs can I never abandon?' Skip the scepticism?
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The eyes of the mind are proofs [Spinoza]
     Full Idea: The eyes of the mind … are none other than proofs.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 23)
     A reaction: A wonderful slogan for rationalists! Technically it sounds a bit dodgy, as steps seem to be required for a proof, whereas the eyes of the mind presumably offer a priori intuitions, or clear and distinct conceptions. In essence, he is right.
12. Knowledge Sources / D. Empiricism / 2. Associationism
Once we have experienced two feelings together, one will always give rise to the other [Spinoza]
     Full Idea: If the mind has once been affected by two affects at once, then afterwards, when it is affected by one of them, it will also be affected by the other.
     From: Baruch de Spinoza (The Ethics [1675], III Pr14)
     A reaction: This strikes me as better expressed than Hume's version, which relies on examples. It is more generalised than Hume, since it will cover contiguity and resemblance and causation, all under the heading of the arising affects.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Aristotle's concepts of understanding and explanation mean he is not a pure empiricist [Aristotle, by Frede,M]
     Full Idea: It is a certain notion of understanding and, correspondingly, explanation which makes Aristotle think that knowledge, properly speaking, could not be a matter of mere experience.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Michael Frede - Aristotle's Rationalism p.160
     A reaction: Frede says this means that Aristotle is a rationalist, though few empiricists think understanding is 'merely' a matter of experience. My own epistemology is Explanatory Empiricism, which I see as more empiricist than rationalist.
Animals may have some knowledge if they retain perception, but understanding requires reasons to be given [Aristotle]
     Full Idea: In some animals the perception is retained, and in some not. Without retention knowledge is impossible. Some animals go further and form an account based on the perception. This leads to memory and experience, and so to either skill or understanding.
     From: Aristotle (Posterior Analytics [c.327 BCE], 99b35-)
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Many memories of the same item form a single experience [Aristotle]
     Full Idea: When it occurs often in connection with the same item, ..memories which are many in number form a single experience.
     From: Aristotle (Posterior Analytics [c.327 BCE], 100a05)
     A reaction: This is Aristotle at his most empirical. He is not describing an operation of the understanding, but a process of association. The process he alludes to is at the heart of the abstractionist view of concept-formation.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Sceptics say justification is an infinite regress, or it stops at the unknowable [Aristotle]
     Full Idea: Sceptics say that there is either an infinite regress of ideas based on one another, or things come to a stop at primitives which are unknowable (because they can't be demonstrated).
     From: Aristotle (Posterior Analytics [c.327 BCE], 72b09)
     A reaction: This is one strand of what eventually becomes the classic Agrippa's Trilemma (Idea 8850). For Aristotle's view on this one, see Idea 562.
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Anyone who knows, must know that they know, and even know that they know that they know.. [Spinoza]
     Full Idea: If a man knows anything, he, by that very fact, knows that he knows it, and at the same time knows that he knows that he knows it, and so on to infinity.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 21)
     A reaction: A delightfully bold claim! This is 'super internalism', but it seems to require that we must be certain in order to know, whereas I think my own view is internalist but 'fallibilist' - I know, while admitting I could be wrong.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
When you understand basics, you can't be persuaded to change your mind [Aristotle]
     Full Idea: Anyone who understands anything simpliciter (as basic) must be incapable of being persuaded to change his mind.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72b04)
     A reaction: A typical Aristotle test which seems rather odd to us. Surely I can change my mind, and decide that something is not basic after all? But, says Aristotle, then you didn't really think it was basic.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Encounters with things confuse the mind, and internal comparisons bring clarity [Spinoza]
     Full Idea: The mind has only a confused knowledge of itself, its own body, and external bodies, as long as it is perceived from fortuitous encounters with things, ...and not internally, from the agreements, differences and oppositions of a number of things at once.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 29s)
     A reaction: [compressed] This is a very nice expression of the commitment to coherence as justification, typical of the rationalist view of things. Empiricists are trapped in an excessively atomistic concept of knowledge (one impression or sense datum at a time).
14. Science / A. Basis of Science / 2. Demonstration
Aim to get definitions of the primitive components, thus establishing the kind, and work towards the attributes [Aristotle]
     Full Idea: Divide a whole into its primitives, then try to get definitions of these. Thus you establish the kind, and then study the attributes through the primitive common items.
     From: Aristotle (Posterior Analytics [c.327 BCE], 96b16)
There must be definitions before demonstration is possible [Aristotle]
     Full Idea: There is no demonstration of anything of which there is no definition. Definitions are of what something is, i.e. of its essence, but all demonstrations clearly suppose and assume what a thing is.
     From: Aristotle (Posterior Analytics [c.327 BCE], 90b30)
     A reaction: Note that while essentialism rests on definitions, the job is not yet complete once the definitions are done. With good definitions, it should be easy to show how the pieces of the jigsaw fit together.
All demonstration is concerned with existence, axioms and properties [Aristotle]
     Full Idea: All demonstrative science [apodeiktike episteme] is concerned with three things: what it posits to exist (the kind), the axioms (primitives basic to demonstration), and the attributes.
     From: Aristotle (Posterior Analytics [c.327 BCE], 76b12)
Demonstration is more than entailment, as the explanatory order must match the causal order [Aristotle, by Koslicki]
     Full Idea: Aristotle's demonstration encompasses more than deductive entailment, in that the explanatory order of priority represented in a successful demonstration must mirror precisely the causal order of priority in the phenomena in question.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Kathrin Koslicki - Form, Matter and Substance 4.5
     A reaction: Interesting. I presume this is correct, but is not an aspect I had registered. In Metaphysics his essentialist explanations are causal, so it all hangs together.
Aristotle gets asymmetric consequence from demonstration, which reflects real causal priority [Aristotle, by Koslicki]
     Full Idea: In Aristotle's system, the relevant notion of asymmetric consequence that is operative in his model of scientific explanation is that of demonstration. ...It is a theoretical/linguistic reflection of an asymmetric real-world relation of causal priority.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Kathrin Koslicki - Varieties of Ontological Dependence 7.3 n7
     A reaction: The asymmetry is required for explanation, and for grounding.
Aristotle doesn't actually apply his theory of demonstration to his practical science [Leroi on Aristotle]
     Full Idea: There is a conflict between the syllogistic theory of demonstration of the Posterior Analytics, with its austere programme of certainties, and how Aristotle actually does science.
     From: comment on Aristotle (Posterior Analytics [c.327 BCE]) by Armand Marie LeRoi - The Lagoon: how Aristotle invented science 104
     A reaction: Leroi observes that there are no demonstrations anywhere in the biological writings. Biology probably lends itself least to such an approach.
Premises must be true, primitive and immediate, and prior to and explanatory of conclusions [Aristotle]
     Full Idea: Demonstrative understanding must proceed from items which are true and primitive and immediate and more familiar and prior to and explanatory of the conclusions.
     From: Aristotle (Posterior Analytics [c.327 BCE], 71b22)
We can know by demonstration, which is a scientific deduction leading to understanding [Aristotle]
     Full Idea: We know things through demonstration, by which I mean a scientific deduction, and by 'scientific' I mean a deduction by possessing which we understand something.
     From: Aristotle (Posterior Analytics [c.327 BCE], 71b17)
     A reaction: This is a distinctively Aristotelian account of what science aims at, and which seems to have dropped out of modern accounts of science, which are still under the influence of logical positivism. Time to revive it.
Demonstrative understanding rests on necessary features of the thing in itself [Aristotle]
     Full Idea: If demonstrative understanding proceeds from necessary principles, and whatever holds of an object in itself is necessary, then it is clear that demonstrative deductions will proceed from certain items of this sort.
     From: Aristotle (Posterior Analytics [c.327 BCE], 74b05-)
     A reaction: This is the characterization of the essence of something in terms of what counts as a good explanation of that thing. Although explanation is a bit subjective, I like this approach, because you will dig down to the source of the powers of the thing.
Demonstrations must be necessary, and that depends on the middle term [Aristotle]
     Full Idea: If you understand something demonstratively, it must hold from necessity, so it is plain that your demonstration must proceed through a middle term which is necessary.
     From: Aristotle (Posterior Analytics [c.327 BCE], 75a13)
     A reaction: How can a middle 'term' be necessary, if it is not a proposition? Presumably Socrates is necessarily a man, and men are necessarily mortal, so it is the predication which is necessary.
Demonstrations are syllogisms which give explanations [Aristotle]
     Full Idea: Demonstrations are probative deductions [sullogismos] which give the explanation [aitias] and the reason why.
     From: Aristotle (Posterior Analytics [c.327 BCE], 85b24)
     A reaction: This notion seems to have slipped out of modern philosophy of science, because (while scientists have just pressed on) philosophers of science have raised so many sceptical questions that they have, I would say, lost the plot.
Universal demonstrations are about thought; particular demonstrations lead to perceptions [Aristotle]
     Full Idea: Universal demonstrations are objects of thought, particular demonstrations terminate in perception.
     From: Aristotle (Posterior Analytics [c.327 BCE], 86a30)
Demonstration is better with fewer presuppositions, and it is quicker if these are familiar [Aristotle]
     Full Idea: A demonstration is superior if it depends on fewer suppositions or propositions - for if these are familiar, knowledge will come more quickly, and this is preferable.
     From: Aristotle (Posterior Analytics [c.327 BCE], 86a35)
A demonstration is a deduction which proceeds from necessities [Aristotle]
     Full Idea: A demonstration is a deduction which proceeds from necessities.
     From: Aristotle (Posterior Analytics [c.327 BCE], 73a24)
     A reaction: Elsewhere he tells us that demonstration that brings understanding (Idea 12365), so this is an interesting gloss. He says that the middle term of the syllogism gives the understanding, but necessities reside in the whole propositions of the premisses.
The principles of demonstrations are definitions [Aristotle]
     Full Idea: The principles of demonstrations are definitions.
     From: Aristotle (Posterior Analytics [c.327 BCE], 90b25)
     A reaction: This I take to be a key idea linking Aristotle's desire to understand the world, by using demonstrations to reach good explanations. Definitions turn out to rest on essences, so our understanding of the world rests on essences.
14. Science / C. Induction / 2. Aims of Induction
We learn universals from many particulars [Aristotle]
     Full Idea: It is from many particulars that the universal becomes plain. Universals are valuable because they make the explanation plain.
     From: Aristotle (Posterior Analytics [c.327 BCE], 88a05)
14. Science / D. Explanation / 1. Explanation / a. Explanation
What is most universal is furthest away, and the particulars are nearest [Aristotle]
     Full Idea: What is most universal is furthest away, and the particulars are nearest.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a05)
     A reaction: This is the puzzle that bother Aristotle about explanation, that we can only grasp the universals, when we want to explain the particulars.
Are particulars explained more by universals, or by other particulars? [Aristotle]
     Full Idea: Which of the middle terms is explanatory for the particulars - the one which is primitive in the direction of the universal, or the one which is primitive in the direction of the particular?
     From: Aristotle (Posterior Analytics [c.327 BCE], 99b09)
     A reaction: I'm not clear about this, but it shows Aristotle wrestling with the issue of whether explanations are of particulars or universals, and whether they employ particulars as well as employing universals. The particular must be defined!
Universals are valuable because they make the explanations plain [Aristotle]
     Full Idea: Universals are valuable because they make the explanations plain.
     From: Aristotle (Posterior Analytics [c.327 BCE], 88a06)
     A reaction: Everything in Aristotle comes back to human capacity to understand. There seems to be an ideal explanation consisting entirely of particulars, but humans are not equipped to grasp it. We think in a broad brush way.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is of the status of a thing, inferences to it, initiation of change, and purpose [Aristotle]
     Full Idea: There are four sorts of explanation: what it is to be something, that if certain items hold it is necessary for this to hold, what initiated the change, and the purpose.
     From: Aristotle (Posterior Analytics [c.327 BCE], 94a21)
     A reaction: This might be summed up as: 'we want to know the essence, the necessary conditions, the cause, and the purpose'. Can anyone improve on that as the aims of explanation? The second explanation (necessary preconditions) isn't in 'Physics' - Idea 8332.
What we seek and understand are facts, reasons, existence, and identity [Aristotle]
     Full Idea: The things we seek are equal in number to those we understand: the fact, the reason why, if something is, and what something is.
     From: Aristotle (Posterior Analytics [c.327 BCE], 89b24)
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Explanation and generality are inseparable [Aristotle, by Wedin]
     Full Idea: For Aristotle, explanation and generality are fellow-travellers.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance X.11
     A reaction: This isn't 'lawlike' explanation, but it is interestingly close to it. It seems to be based on the fact that predicates are universals, so we can only state truths in general terms.
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
To understand a phenomenon, we must understand why it is necessary, not merely contingent [Spinoza, by Cottingham]
     Full Idea: Adequate understanding of a phenomenon, for Spinoza, involves a complete understanding of its causes, and this in turn involves a dissolving of the illusion of contingency and a recognition of the necessity of its being thus and not otherwise.
     From: report of Baruch de Spinoza (The Ethics [1675]) by John Cottingham - The Rationalists p.168
     A reaction: This is the appeal of the rationalist dream. We want a god-like grasp of things, not a superficial perception of what seems to be going on.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
The foundation or source is stronger than the thing it causes [Aristotle]
     Full Idea: Something always holds better because of that because of which it holds - e.g. that because of which we love something is better loved.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a30)
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Universals give better explanations, because they are self-explanatory and primitive [Aristotle]
     Full Idea: Universals are more explanatory (for something which holds in itself is itself explanatory of itself; and universals are primitive; hence universals are explanatory) - so universal demonstrations are better.
     From: Aristotle (Posterior Analytics [c.327 BCE], 85b25)
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
The human mind is the very idea or knowledge of the human body [Spinoza]
     Full Idea: The human mind is the very idea or knowledge of the human body.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 19)
     A reaction: This is close to Aristotle's claim that the 'psuché' is the 'form' of the body. Spinoza is appealingly modern in his view. The mapping of the body (our prioprioceptic sense) strikes me as central to the nature of the mind.
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Knowledge is the essence of the mind [Spinoza]
     Full Idea: The essence of our mind consists solely in knowledge.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 36 n)
     A reaction: This is in a context of discussing the human relation to God. See Keith Hossack's 'The Metaphysics of Knowledge' for an exploration of this idea. (@BenedictSpinoza came up with this one)
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Will and intellect are the same thing [Spinoza]
     Full Idea: The will and the intellect are one and the same.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
The will is finite, but the intellect is infinite [Spinoza]
     Full Idea: The will is distinguished from the intellect, the latter being finite, the former infinite.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
The will is not a desire, but the faculty of affirming what is true or false [Spinoza]
     Full Idea: By the will I understand a faculty of affirming or denying, but not a desire; a faculty, I say, by which the mind affirms or denies that which is true or false.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 48)
     A reaction: This is to be compared with the empiricist tendency to say that there are nothing but desires. On the whole I'm with Spinoza here. Hobbes thinKs of actions in the world, but Spinoza sees the will as operating in the process of reasoning.
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Spinoza held that the mind is just a bundle of ideas [Spinoza, by Schmid]
     Full Idea: Spinoza held a bundle theory of the mind, according to which our mind is but a bundle 'composed of a great many ideas'.
     From: report of Baruch de Spinoza (The Ethics [1675], II Pr 15) by Stephan Schmid - Faculties in Early Modern Philosophy 3
     A reaction: This seems to imply that the mind lacks unity, and also lacks a Self. Spinoza doesn't say much about this view.
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
Animals are often observed to be wiser than people [Spinoza]
     Full Idea: Many things are observed in brutes which far surpass human sagacity.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 02)
     A reaction: Lovely - especially in an age when animals were being actively downgraded (e.g. by Descartes) in order to upgrade man.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
To understand is the absolute virtue of the mind [Spinoza]
     Full Idea: To understand is the absolute virtue of the mind.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 28)
     A reaction: A possible epigraph for this website. Perhaps it should be required by law that this be printed on the frontispiece of every philosophy book ever published.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Faculties are either fictions, or the abstract universals of ideas [Spinoza]
     Full Idea: Faculties are either complete fictions, or nothing but metaphysical beings or universals, which are used to forming from particulars (as 'stoneness' is to a stone).
     From: Baruch de Spinoza (The Ethics [1675], II Pr 48S), quoted by Stephan Schmid - Faculties in Early Modern Philosophy 3
     A reaction: So they are, at best, the sources of our concepts. Does that mean one faculty for each concept, or one huge concept-generating faculty?
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Perception creates primitive immediate principles by building a series of firm concepts [Aristotle]
     Full Idea: Primitive immediate principles ...come about from perception - as in a battle, when a rout has occurred, first one man makes a stand, then another, and then another, until a position of strength is reached.
     From: Aristotle (Posterior Analytics [c.327 BCE], 100a12)
     A reaction: Philosophers don't create imagery like that any more. This empiricist account of how concepts and universals are created is part of a campaign against Plato's theory of forms. [Idea 9069 continues his idea]
A perception lodging in the soul creates a primitive universal, which becomes generalised [Aristotle]
     Full Idea: When one undifferentiated item in perception makes a stand, there is a primitive universal in the soul; for although you perceive particulars, perception is of universals - e.g. of man, not of Callias the man. One animal makes a stand, until animal does.
     From: Aristotle (Posterior Analytics [c.327 BCE], 100a15-)
     A reaction: This is the quintessential account of abstractionism, with the claim that primitive universals arise directly in perception, but only in repeated perception. How the soul does it is a mystery to Aristotle, just as associations are a mystery to Hume.
15. Nature of Minds / C. Capacities of Minds / 8. Remembering Contiguity
If the body is affected by two things together, the imagining of one will conjure up the other [Spinoza]
     Full Idea: If the human body has once been affected by two or more bodies at the same time, when the mind afterwards imagines any of them, it will straightway remember the other also.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 18)
     A reaction: Very interesting to see a great rationalist philosopher making an observation right at the heart of Hume's theory of knowledge (associationism). Clearly an associationist theory of psychology need not imply a materialist (connectionist) theory of mind.
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Our own force of persevering is nothing in comparison with external forces [Spinoza]
     Full Idea: The force by which a man perserveres in existing is limited, and infinitely surpassed by the power of external causes.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 03)
     A reaction: This states the obvious, but is important as a way of viewing things. I think Nietzsche's notion of Will to Power comes in here, as a unified account of both forces.
As far as possible, everything tries to persevere [Spinoza]
     Full Idea: Each thing, as far as it can by its own power, strives to persevere in its own being. ...[7] The striving by which each thing strives to persevere in its being is nothing but the actual essence of the thing.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 06)
     A reaction: This is covered by his word 'conatus'. Obviously this covers plants as well as sentient beings. Mountains have no power to persevere. Since Spinoza sees this as basic, he is not far from Nietzsche.
The conatus (striving) of mind and body together is appetite, which is the essence of man [Spinoza]
     Full Idea: When striving [conatus] is related to the Mind it is called Will, but when related to the Mind and Body it is called Appetite. This Appetite is the essence of man, from whose nature there necessarily follow those things that promote this preservation.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 09S), quoted by Stephan Schmid - Faculties in Early Modern Philosophy 3
     A reaction: Spinoza seems to see 'conatus' as a fairly unified thing, where Nietzsche sees the will to power as a combination of many competing 'drives'. I think Nietzsche is closer to the truth.
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The mind only knows itself by means of ideas of the modification of the body [Spinoza]
     Full Idea: The mind does not know itself, except in so far as it perceives the ideas of the modifications of the body.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 29)
     A reaction: This is reminiscent of Hume's 'bundle of perceptions' report of introspection. It is in tune with a modern 'animalist' view of a person, and with a view of the mind as a map of the body and its environs. Is he a sceptic about personal identity?
16. Persons / C. Self-Awareness / 2. Knowing the Self
Self-knowledge needs perception of the affections of the body [Spinoza]
     Full Idea: The mind does not know itself except in so far as it perceives the ideas of the affections of the body.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 23)
     A reaction: 'The ideas of the affections of the body' seems to be twice removed from the actual body, so I am not crystal clear what this says. The idea of knowing yourself with no involvement at all of the body seems absurd.
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
The poet who forgot his own tragedies was no longer the same man [Spinoza]
     Full Idea: Sometimes a man undergoes such changes that he cannot very well be said to be the same man, as was the case with a certain Spanish poet ...who was so oblivious of his past life that he did not believe the tales and tragedies he had composed were his own.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 39)
     A reaction: This seems to need Locke's distinction between 'man' and 'person', since the poor poet was clearly the same human being. Spinoza places huge emphasis on the intellect as the essence of the man.
16. Persons / F. Free Will / 1. Nature of Free Will
A thing is free if it acts by necessity of its own nature, and the act is determined by itself alone [Spinoza]
     Full Idea: That thing is called free which exists solely by the necessity of its own nature, and of which the action is determined by itself alone.
     From: Baruch de Spinoza (The Ethics [1675], I Def 7)
     A reaction: This points to the obvious thought that nothing is independent enough to achieve freedom. Our concept of nature is of almost endless interdependence. God seems the only thing that could possibly qualify, though some might say humans could.
16. Persons / F. Free Will / 5. Against Free Will
An act of will can only occur if it has been caused, which implies a regress of causes [Spinoza]
     Full Idea: Each volition can neither exist nor be determined to produce an effect unless it is determined by another cause, and this cause again by another, and so on, to infinity.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 32), quoted by Stephan Schmid - Faculties in Early Modern Philosophy 3
     A reaction: Acts of will are usually responses to situations, so it seems a bit simplistic to think that they are all spontaneous sui generis causal events. That argument won't work, of course, for a random volition that is out of context.
'Free will' is a misunderstanding arising from awareness of our actions, but ignorance of their causes [Spinoza]
     Full Idea: Men are mistaken in thinking themselves free; their opinion is made up of consciousness of their own actions, and ignorance of the causes by which they are conditioned.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 35)
     A reaction: I have recently come to totally agree with this. The whole concept of free will seems to me incoherent, and Spinoza pinpoints the error. We aren't equipped to know the origins of the thoughts that arrive in our consciousnesses.
Would we die if we lacked free will, and were poised between equal foods? Yes! [Spinoza]
     Full Idea: It may be objected, if a man does not act from free will, what will happen if the incentives to action are equally balanced, as in the case of Buridan's ass? Will he perish of hunger and thirst. ..Personally I am ready to admit that he would die.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49)
     A reaction: A nicely defiant way of demonstrating his rejection of free will. I have to agree with him. Even if there were such a thing as 'free will', it is hard to see how it could act as a tie-breaker. Which way would it freely decide?
The mind is not free to remember or forget anything [Spinoza]
     Full Idea: It is not within the free power of the mind to remember or forget a thing at will.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 02)
     A reaction: An interesting little corrective if you were thinking that your total control over you mind proved that you had free will. Once you face up to your lack of control of the memory process, you begin to realise how little of your mind even feels controlled.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
We think we are free because we don't know the causes of our desires and choices [Spinoza]
     Full Idea: Men think themselves free because they are conscious of their volitions and their appetites, yet never give a thought to the causes which dispose them to desire or to exercise the will as they do, since they are wholly unaware of them.
     From: Baruch de Spinoza (The Ethics [1675])
     A reaction: This encapsulates the determinist idea nicely. In the end we just choose, but we have no idea why we prefer one reason to another, or simply opt for one thing rather than another.
The actual world is the only one God could have created [Spinoza]
     Full Idea: Things could not have been brought into being by God in any manner or in any order different from that which has in fact obtained.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 33)
     A reaction: Said to be a "notorious" proposition. This is a key idea in philosophy because it represents (like solipsism) one of the extremes - there is no such thing as contingency, and that all things are necessary. It is daft not to take Spinoza seriously on this.
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Ideas and things have identical connections and order [Spinoza]
     Full Idea: The order and connection of ideas is the same as the order and connection of things.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 07)
     A reaction: I hadn't registered until Beth Lord pointed it out that this is Spinoza's parallelism of the mental and the physicalism, which seems to be roughly the same as the views of Leibniz and Malebranche, but with a different explanation.
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Mind and body are one thing, seen sometimes as thought and sometimes as extension [Spinoza]
     Full Idea: The mind and the body are one and the same individual which is conceived now under the attribute of thought, now under the attribute of extension.
     From: Baruch de Spinoza (The Ethics [1675])
     A reaction: I suppose we might now call this 'property dualism'. It is odd that when you examine one property, the other is nowhere to be seen.
We are incapable of formulating an idea which excludes the existence of our body [Spinoza]
     Full Idea: An idea which excludes the existence of our body cannot be postulated in our mind, but is contrary thereto.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 10)
     A reaction: A fascinating claim. At the heart of Descartes is an unspoken thought experiment exploring the possibility of a disembodied mind. This is a beautiful challenge to the very concept of such a thing, and points to a grealty superior theory of mind.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Mind and body are the same thing, sometimes seen as thought, and sometimes as extension [Spinoza]
     Full Idea: The idea of body and body, that is, mind and body, are one and the same individual conceived now under the attribute of thought, now under the attribute of extension.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 21)
     A reaction: This is an appealingly modern view, but a bit glib. Phenomenologically, the mind seen as thought and the body seen as extension are about as wildly different as it is possible to be. This needs explanation.
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Emotion is a modification of bodily energy, controlling our actions [Spinoza]
     Full Idea: By emotion [affectus] I understand the modification of energy of the body by which the power of action is aided or restrained.
     From: Baruch de Spinoza (The Ethics [1675]), quoted by Robert C. Solomon - The Passions 3.4
     A reaction: [no ref given] Solomon gives this as the earliest version of the 'hydraulic' model of emotions, later found in Freud and Jung. Very unusual to give a wholly physical account of these psychic states.
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
The three primary emotions are pleasure, pain and desire [Spinoza]
     Full Idea: I recognise only three primitive or primary emotions, namely, pleasure, pain and desire.
     From: Baruch de Spinoza (The Ethics [1675], IIIEm Df 4)
     A reaction: Interesting, but hard to justify. Presumably one can analyse fear as desire for no pain, and grief as desire for the return of pleasure, etc. It is a nice exercise in introspective psychology, but I don't feel much wiser for it.
The three primary emotions are pleasure, pain, and desire [Spinoza, by Goldie]
     Full Idea: Spinoza held that the three primary emotions are pleasure, pain, and desire
     From: report of Baruch de Spinoza (The Ethics [1675], III P59) by Peter Goldie - The Emotions 4 'Evidence'
     A reaction: If you are aiming for a minimal list, this is quite good. One active, one good passive, one bad passive. Output and input.
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Minds are subject to passions if they have inadequate ideas [Spinoza]
     Full Idea: The mind is subject to passions in proportion to the number of inadequate ideas which it has.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 01)
     A reaction: An exceptionally intellectualist view of emotions!
An emotion is only bad if it hinders us from thinking [Spinoza]
     Full Idea: An emotion is only bad or hurtful, in so far as it hinders the mind from being able to think.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 09)
     A reaction: This sounds sensible. It fits Spinoza's quasi-stoicism that he should be happy with emotion (as natural), but also that true 'living by nature' requires control by reason. Only a wild romantic would think emotion better than judgement as a guide.
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Stoics want to suppress emotions, but Spinoza overcomes them with higher emotions [Spinoza, by Stewart,M]
     Full Idea: Spinoza says the only way to overcome emotions is with higher emotions, thus distinguishing himself from the Stoics, who argued that the only thing to do with the surly crowd of human emotions is to have them all shot.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Matthew Stewart - The Courtier and the Heretic Ch.10
     A reaction: The modern view would certainly be that the Stoics were responsible for massive problems in European civilization (thought the Buddhist have similar views). Emotions are now seen as integral even to very pure reasoning.
An emotion comes more under our control in proportion to how well it is known to us [Spinoza]
     Full Idea: An emotion becomes more under our control, and the mind is less passive in respect to it, in proportion as it is more known to us.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 03)
     A reaction: This may sound a little optimistic, but it is also obviously true, in the sense that the only proper control we have of our own behaviour is through thought and judgement, which presuppose awareness of what needs controlling.
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
People make calculation mistakes by misjudging the figures, not calculating them wrongly [Spinoza]
     Full Idea: When men make mistakes in calculation, they have one set of figures in their mind, and another on the paper. If we could see into their minds, they do not make a mistake.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 47)
     A reaction: A wonderfully optimistic assertion of faith in reason! He seems to imply an infallibility in reason, which seems a bit implausible. If I make 7+6=14, MUST I have muddled the 6 with a 7? Presumably Spinoza was good at arithmetic.
18. Thought / C. Content / 2. Ideas
Ideas are powerful entities, which can produce further ideas [Spinoza, by Schmid]
     Full Idea: Spinoza conceives of ideas as intrinsically powerful entities, which have a capacity to produce further ideas.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Stephan Schmid - Faculties in Early Modern Philosophy 6
     A reaction: Is the idea the source of the entire philosophy of Hegel? I find Hegel's claim to infer huge chains of ideas from very simple origins quite implausible. I also rather doubt whether a wholly isolated idea can produce a further idea.
An 'idea' is a mental conception which is actively formed by the mind in thinking [Spinoza]
     Full Idea: By 'idea', I mean the mental conception which is formed by the mind as a thinking thing (this is not a passive perception with regard to the object, but expresses an activity of the mind).
     From: Baruch de Spinoza (The Ethics [1675], II Def 3)
     A reaction: This is interesting as a seventeenth century attempt to grapple with the nature of thought. Spinoza sees it as of the essence of mind, since it is what the mind contributes, rather than what happens to the mind when it experiences.
Ideas are not images formed in the brain, but are the conceptions of thought [Spinoza]
     Full Idea: By ideas I do not mean images such as are formed at the back of the eye, or in the midst of the brain, but the conceptions of thought.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 48)
     A reaction: This appears to be equating 'ideas' with what we now call 'concepts', which presumably makes Spinoza less open to criticism than other philosophers of his time, for postulating baffling mental copies of the world.
An idea involves affirmation or negation [Spinoza]
     Full Idea: An idea, insofar as it is an idea, involves an affirmation or negation.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 49 sII)
     A reaction: Spinoza clearly distinguishes ideas from images, and here seems to identify ideas with propositions. Nowadays we say these are 'true or false', but Spinoza is more personal and psychological. I prefer his way of putting it.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A concept is only a sortal if it gives genuine identity [Wright,C]
     Full Idea: Before we can conclude that φ expresses a sortal concept, we need to ensure that 'is the same φ as' generates statements of genuine identity rather than of some other equivalence relation.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
     Full Idea: A concept is 'sortal' if it exemplifies a kind of object. ..In English predication of a sortal concept needs an indefinite article ('an' elm). ..What really constitutes the distinction is that it involves grasping identity for things which fall under it.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i)
     A reaction: This is a key notion, which underlies the claims of 'sortal essentialism' (see David Wiggins).
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
     Full Idea: 'Tree' is not a sortal concept under which directions fall since we cannot adequately explain the truth-conditions of any identity statement involving a pair of tree-denoting singular terms by appealing to facts to do with parallelism between lines.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xiv)
     A reaction: The idea seems to be that these two fall under 'hedgehog', because that is a respect in which they are identical. I like to notion of explanation as a part of this.
18. Thought / E. Abstraction / 2. Abstracta by Selection
We learn primitives and universals by induction from perceptions [Aristotle]
     Full Idea: We must get to know the primitives by induction; for this is the way in which perception instils universals.
     From: Aristotle (Posterior Analytics [c.327 BCE], 100b04)
     A reaction: This statement is so strongly empirical it could have come from John Stuart Mill. The modern post-Fregean view of universals is essentially platonist - that they have a life and logic of their own, and their method of acquisition is irrelevant.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
     Full Idea: The fact that it seems possible to establish a sortal notion of direction by reference to lines and parallelism, discloses tacit commitments to directions in statements about parallelism...There is incoherence in the idea that a line might lack direction.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xviii)
     A reaction: This seems like a slippery slope into a very extravagant platonism about concepts. Are concepts like direction as much a part of the natural world as rivers are? What other undiscovered concepts await us?
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
     Full Idea: A mild version of the verification principle would say that it makes sense to think of someone as understanding an expression only if he is able, by his use of the expression, to give the best possible evidence that he understands it.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.vii)
     A reaction: That doesn't seem to tell us what understanding actually consists of, and may just be the truism that to demonstrate anything whatsoever will necessarily involve some evidence.
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
     Full Idea: If the appearance of reference can be misleading, why cannot an apparent lack of reference be misleading?
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 2.xi)
     A reaction: A nice simple thought. Analytic philosophy has concerned itself a lot with sentences that seem to refer, but the reference can be analysed away. For me, this takes the question of reference out of the linguistic sphere, which wasn't Wright's plan.
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
     Full Idea: The heart of the problem is Frege's assumption that predicates have Bedeutungen at all; and no reason is at present evident why someone who espouses Frege's notion of object is contrained to make that assumption.
     From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iv)
     A reaction: This seems like a penetrating objection to Frege's view of reference, and presumably supports the Kripke approach.
19. Language / F. Communication / 3. Denial
Negation takes something away from something [Aristotle]
     Full Idea: The part of a contradictory pair which says something of something is an affirmation; the part which takes something from something is a negation.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a14)
     A reaction: So affirmation is predication about an object ['Fa'], and negation is denial of predication. We have a scope problem: there is nothing which is F [¬∃x(Fx)], or there is a thing which is not-F [∃x(¬Fx)]. Aristotle seems to mean the latter.
19. Language / F. Communication / 6. Interpreting Language / d. Metaphor
If you shouldn't argue in metaphors, then you shouldn't try to define them either [Aristotle]
     Full Idea: If you should not argue in metaphors, it is plain too that you should neither define by metaphors nor define what is said in metaphors; for then you will necessarily argue in metaphors.
     From: Aristotle (Posterior Analytics [c.327 BCE], 97b37)
     A reaction: Impeccable logic, but seeing a similarity can be a wonderful shortcut to seeing a great truth.
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Spinoza argues that in reality the will and the intellect are 'one and the same' [Spinoza, by Cottingham]
     Full Idea: Spinoza argues that in reality the will and the intellect are 'one and the same'.
     From: report of Baruch de Spinoza (The Ethics [1675]) by John Cottingham - The Rationalists p.159
     A reaction: The 'will' is certainly a dubious concept, though it seems involved with desire and actual. In a sense, I suppose, all pursuits of reason are acts of will.
Claiming that actions depend on the will is meaningless; no one knows what the will is [Spinoza]
     Full Idea: Saying that human actions depend on the will is a mere phrase without any idea to correspond to. What the will is, and how it moves the body, no one knows.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 35)
     A reaction: As so often, the rationalist Spinoza agrees with many empiricists about this one. If there is no such thing as the will, then there isn't much prospect of it being free, thought one might talk about 'freedom of thought' instead.
20. Action / C. Motives for Action / 1. Acting on Desires
Whenever we act, then desire is our very essence [Spinoza]
     Full Idea: Desire is man's very essence, insofar as it is agreed to be determined, from any affection of it, to do something. ...Desire is appetite, together with the consciousness of it.
     From: Baruch de Spinoza (The Ethics [1675], III Def of Aff I)
     A reaction: [I think that is the gist of it!] This sounds a bit circular, but seems to say that actions are almost entireoy the expression of desires.
20. Action / C. Motives for Action / 4. Responsibility for Actions
We love or hate people more strongly because we think they are free [Spinoza]
     Full Idea: Because men consider themselves to be free, they have a greater love or hate toward one another than toward other things.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 49S)
     A reaction: A very penetrating remark. If we abandon the concept of free will, I suspect that we will all become much more easy-going and tolerant, but the thought that feelings of love might also decline is a sobering one.
We are the source of an action if only our nature can explain the action [Spinoza]
     Full Idea: I say that we act when anything is done, either within us or without us, of which we are the adequate cause, that is to say, when from our nature anything follows which by that nature alone can be clearly and distinctly understood.
     From: Baruch de Spinoza (The Ethics [1675], III Def 2)
     A reaction: I like that one a lot. The point is to get a concept of responsibility that doesn't need free will, and to distinguish the thief from the kleptomaniac. Does kleptomania derive from a person's true nature? Essentialism in action.
We act when it follows from our nature, and is understood in that way [Spinoza]
     Full Idea: We act when something in us or outside us follows from our nature, which can be clearly and distinctly understood through this alone.
     From: Baruch de Spinoza (The Ethics [1675], III Def2)
     A reaction: I like this, because it links actions to our essential natures, and because it focuses on understanding the action, which must involve explaining the action. This is the root of responsibility, not something called 'free will'. BUT SEE 17202.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Men only agree in nature if they are guided by reason [Spinoza]
     Full Idea: Only insofar as men live according to the guidance of reason, must they always agree in nature.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 35)
     A reaction: A nice expression of the guiding idea of the Enlightenment - that consensus is the defining characteristic of rationality. Spinoza's politics emerges from this idea.
We seek our own advantage, and virtue is doing this rationally [Spinoza]
     Full Idea: Acting absolutely from virtue is nothing else in us but acting, living, and preserving our being (these three signify the same thing) by the guidance of reason, from the foundation of seeking one's own advantage.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 24)
     A reaction: The influence of stoicism is obvious here, that we live according to our nature, but our nature is rational. Spinoza doesn't seem to understand the pure altruism of lovers and parents.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The essence of man is modifications of the nature of God [Spinoza]
     Full Idea: The essence of man consists of certain modifications of the attributes of God.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 10)
     A reaction: Not an idea you hear much these days!
By 'good' I mean what brings us ever closer to our model of human nature [Spinoza]
     Full Idea: By 'good' I understand everything which we are certain is a means by which we may approach nearer and nearer to the model of human nature we set before us.
     From: Baruch de Spinoza (The Ethics [1675], IV Pref)
     A reaction: Unusual, and I'm not sure I understand it. His ideal largely concerns the intellect ruling the emotion
Along with his pantheism, Spinoza equates ethics with the study of human nature [Spinoza, by MacIntyre]
     Full Idea: The counterpart of understanding God as identical with Nature is understanding ethics as the study not of divine precepts but of our own nature and of what necessarily moves us.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Alasdair MacIntyre - A Short History of Ethics Ch.10
     A reaction: As stated here, this seems wrong. We should approach ethics through Aristotle, but not through Freud. That is, virtues can be inferred from human nature, but the actual facts of human nature may be grubby and unpalatable.
If infancy in humans was very rare, we would consider it a pitiful natural defect [Spinoza]
     Full Idea: If a number of human beings were born adult, and only a few here and there were born infants, everyone would pity the infants, because we should then consider infancy not as a thing natural and necessary, but as a defect or fault of nature.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 06)
     A reaction: A lovely example of the new objectivity about human beings that emerged in the Enlightenment. He could have said the same about old age.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
We don't want things because they are good; we judge things to be good because we want them [Spinoza]
     Full Idea: In no case do we strive for, wish for, long for, or desire anything, because we deem it to be good, but on the other hand we deem a thing to be good, because we strive for it, wish for it, long for it, or desire it.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 09)
     A reaction: Shocking, coming from a leading rationalist philosopher. It sounds more like Hume. Surely rationalism should put our capacity for judgement centre-stage? But Spinoza was a determinist. Is Kantian freedom of judgement required? Deterministic judgement?
22. Metaethics / B. Value / 2. Values / g. Love
Love is joy with an external cause [Spinoza]
     Full Idea: Love is joy with the accompanying idea of an external cause
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 44)
     A reaction: This doesn't seem to quite capture the pain that some people find in love.
Love is nothing else but pleasure accompanied by the idea of an external cause [Spinoza]
     Full Idea: Love is nothing else but pleasure accompanied by the idea of an external cause.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 13)
     A reaction: Not a definition to give us inspirational guidance! Sounds like grumpy old Hobbes. This is the 'love' of a heroin addict for a syringe. Personally I see love as having a rational aspect, which puts it 'under the aspect of eternity' (as Spinoza said!).
22. Metaethics / B. Value / 2. Values / i. Self-interest
Spinoza names self-interest as the sole source of value [Spinoza, by Stewart,M]
     Full Idea: Spinoza names self-interest as the sole source of value.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Matthew Stewart - The Courtier and the Heretic Ch.10
     A reaction: This looks like a very seventeenth century view. There was a steady move from cynicism through to the optimism of the eighteenth century. I just don't agree that self-interest is the "sole" source of value, though we should never underestimate it.
22. Metaethics / B. Value / 2. Values / j. Evil
If our ideas were wholly adequate, we would have no concept of evil [Spinoza]
     Full Idea: If the human mind had none but adequate ideas, it would form no notion of evil.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 64)
     A reaction: There is some sort of notion of the wholly rational and benign community here, where living well is the single communal thought. It's sort of true. Good people don't even think about wickedness.
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
Music is good for a melancholic, bad for a mourner, and indifferent to the deaf [Spinoza]
     Full Idea: One and the same thing can, at the same time, be good and bad, and also indifferent. For example, music is good for one who is melancholy, bad for one who is mourning, and neither good nor bad to one who is deaf.
     From: Baruch de Spinoza (The Ethics [1675], IV Pref)
     A reaction: This sounds neat and obvious, but both the mourner and the deaf person might well acknowledge that music is a good thing, while failing to appreciate it at the time. I accept that a concert was good, even if I didn't attend it.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Man's highest happiness consists of perfecting his understanding, or reason [Spinoza]
     Full Idea: In life it is before all things useful to perfect the understanding, or reason, as far as we can, and in this alone man's highest happiness or blessedness consists.
     From: Baruch de Spinoza (The Ethics [1675], IVApp 04)
     A reaction: I fear that only a highly intelligent person like Spinoza would suggest this. The genius of Jesus is to say that if you don't have a powerful intellect you can still be happy by having a pure and loving heart. The Spinoza route is better, if possible.
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Pleasure is a passive state in which the mind increases in perfection [Spinoza]
     Full Idea: By pleasure I shall signify a passive state wherein the mind passes to a greater perfection.
     From: Baruch de Spinoza (The Ethics [1675], III Pr 11)
     A reaction: A rather bizarre definition! He seems to be defining it as a state and as a process in the same sentence. It sounds to me like both a hedonist's charter, and nonsense. I'm with Plato and Aristotle, that pleasure is dangerous as it warps the mind.
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
Pleasure is only bad in so far as it hinders a man's capability for action [Spinoza]
     Full Idea: Pleasure is only bad in so far as it hinders a man's capability for action.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 59)
     A reaction: This seems to be the incipient epicureanism found in enlightenment figures who are drifting towards atheism (of which his contemporaries accused Spinoza). Sadism? Grief is good pain. I'm too happy to be cruel.
23. Ethics / A. Egoism / 1. Ethical Egoism
Reason demands nothing contrary to nature, and so it demands self-love [Spinoza]
     Full Idea: As reason makes no demands contrary to nature, it demands that every man should love himself, should seek that which is useful to him.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 18)
     A reaction: Maybe nature seems to demand self-love, but I don't see why reason should demand it, only why reason should not deny it. There is no point in denying something unavoidable. However, if we don't love ourselves, no one else is likely to.
Self-satisfaction is the highest thing for which we can hope [Spinoza]
     Full Idea: Self-satisfaction is the highest thing for which we can hope, for no one endeavours to preserve his being for the same of any end. [Pr 53: Humility is not a virtue]
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 52)
     A reaction: You can sense here that Spinoza was not a family man.
23. Ethics / B. Contract Ethics / 1. Contractarianism
Both virtue and happiness are based on the preservation of one's own being [Spinoza]
     Full Idea: The foundation of virtue is the endeavour to preserve one's own being, and happiness consists in man's power of preserving his own being.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 18)
     A reaction: Spinoza never actually says so, but this seems to me to point to a Hobbesian social contract account of virtue - that is, that virtue is not an ideal, but a strategy. Personally I prefer the Aristotelian view, that it is an ideal revealed to us by nature.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
To act virtuously is to act rationally [Spinoza]
     Full Idea: To act in conformity to virtue is to act according to the guidance of reason.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 36)
     A reaction: This Kantian ideal always seems to be missing foundational values or feelings. If something is judged to be rubbish, I throw it away.
The more we strive for our own advantage, the more virtuous we are [Spinoza]
     Full Idea: The more each one strives, and is able, to seek his own advantage, that is, to preserve his being, the more he is endowed with virtue.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 20)
     A reaction: Beth Lord says this is his key ethical idea. Our conatus (striving) is the essence of our nature, and virtue is the perfect expression of our essence. Presumably the destruction of others in competition is also bad for us.
All virtue is founded on self-preservation [Spinoza]
     Full Idea: The endeavour after self-preservation is the primary and only foundation of virtue.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 22)
     A reaction: This fits in perfectly with modern evolutionary ethics.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
To live according to reason is to live according to the laws of human nature [Spinoza]
     Full Idea: Man acts absolutely according to the laws of his nature, when he lives in obedience to reason.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 35)
     A reaction: This is pure stoicism, and shows that Spinoza is in many ways the culmination of the seventeenth century stoic revival (e.g. in the art of Poussin). I love the idea that right reason and nature are in perfect harmony. I wonder why?
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
A man ignorant of himself is ignorant of all of the virtues [Spinoza]
     Full Idea: The man who is ignorant of himself is ignorant of the foundation of all the virtues, and consequently is ignorant of all the virtues.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 56)
     A reaction: This would appeal to Aristotle, for whom the social virtues are an aspect of one's own character, and not a calculation made about externals.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
In a free man, choosing flight can show as much strength of mind as fighting [Spinoza]
     Full Idea: Flight at the proper time, just as well as fighting, is to be reckoned as showing strength of mind in a man who is free; that is to say, a free man chooses flight by the same strength or presence of mind as that by which he chooses battle.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 69)
     A reaction: I wonder why showing 'strength of mind' is a virtue?
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
A person unmoved by either reason or pity to help others is rightly called 'inhuman' [Spinoza]
     Full Idea: He who is moved neither by reason nor pity to be of any service to others is properly called inhuman; for he seems to be unlike a man.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 50)
     A reaction: Calling someone 'inhuman' doesn't seem like much of a condemnation. Nietzschean aristocrats may take pride in being above the mere 'human'. We gather here that if reason failed to motivate helping others, then pity would be a good thing.
Pity is a bad and useless thing, as it is a pain, and rational people perform good deeds without it [Spinoza]
     Full Idea: Pity is a pain, and is therefore in itself bad; only at the dictation of reason are we able to perform any action, which we know for certain to be good; thus, in a man who lives under the guidance of reason, pity in itself is useless and bad.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 50)
     A reaction: This is the essence of both Kant's and Bentham's views. It is, however, unclear why a wholly rational and unfeeling person should be motivated to prevent other people's pain. It also don't think it follows that because it is painful it is bad.
Pity is not a virtue, but at least it shows a desire to live uprightly [Spinoza]
     Full Idea: Pity, like shame, although it is not a virtue, is nevertheless good, in so far as it shows that a desire of living uprightly is present in the man who is possessed with shame.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 58)
     A reaction: And yet, in so far as I am rational, it seems that I should endeavour to suppress pity and replace it with right reason. Does Spinoza feel loyalty to the human race, I wonder?
People who live according to reason should avoid pity [Spinoza]
     Full Idea: A man who lives according to the dictates of reason endeavours as much as possible to prevent himself from being touched by pity.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 50)
     A reaction: Since pity seems to give rise to some thoroughly good actions, I am not quite clear how reason would give rise to those same actions unaided. The alleviation of another's pain seems to have no pure motivation, if there is no empathy.
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Rational people judge money by needs, and live contented with very little [Spinoza]
     Full Idea: Those who know the true use of money, and regulate the measure of wealth according to their needs, live contented with few things.
     From: Baruch de Spinoza (The Ethics [1675], IVApp 29)
     A reaction: Spinoza himself lived up to this, being incredibly austere in his personal life.
23. Ethics / D. Deontological Ethics / 3. Universalisability
Rational people are self-interested, but also desire the same goods for other people [Spinoza]
     Full Idea: Men who are governed by reason - that is, who seek what is useful to them in accordance with reason - desire for themselves nothing, which they do not also desire for the rest of mankind, and so are just, faithful and honourable in their conduct.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 18)
     A reaction: This is pulling a rather Kantian rabbit out of a very social contract hat. It chimes in with Aristotle's account of self-interest, which leads to good civic virtues. True Kantianism is self-abnegating, but Spinoza lets selfishness take the lead.
A rational person will want others to have the goods he seeks for himself [Spinoza]
     Full Idea: He who lives under the guidance of reason, desires for others the good which he seeks for himself.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 51)
     A reaction: Obviously a very Kantian idea. It implies that all rational people desire similar goods, but it is rational to collect stamps but not want other people to do so as well. I don't think you should want what I want for Christmas.
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
If people are obedient to reason, they will live in harmony [Spinoza]
     Full Idea: Men insofar as they live in obedience to reason, necessarily live always in harmony with one another.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 35)
     A reaction: A beautiful slogan for a belief which has gripped me since I was a child. It embodies the frustration of philosophers from Plato onwards, and it may well be childishly idealistic. Politics is the art of the possible, said R.A.B. Butler.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The ideal for human preservation is unanimity among people [Spinoza]
     Full Idea: Man can wish for nothing more helpful to the preservation of his being than that all should so agree in all things that the minds and bodies of all would compose, as it were, one mind and one body.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 18S)
     A reaction: There has never been a more glorious vision of a unified people than this, which epitomises Enlightenment optimism. It may be a little on the optimistic side. We might at least hope that rational education encourages the convergence.
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
Only self-knowledge can liberate us [Spinoza, by MacIntyre]
     Full Idea: In Spinoza, self-knowledge, and only self-knowledge, liberates.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Alasdair MacIntyre - A Short History of Ethics Ch.10
     A reaction: Spinoza was a determinist, as far as ultimate inner freedom is concerned. The massive continental philosophers' effort of phenomenology and deconstruction seems to be premissed on this idea. Freedom seems to be their highest value.
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Spinoza extended Hobbes's natural rights to cover all possible desires and actions [Spinoza, by Tuck]
     Full Idea: It was Spinoza who extended the idea of natural rights to cover all possible desires and actions, and he did so knowing that he was transforming Hobbes's theory.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Richard Tuck - Hobbes Ch.2
     A reaction: Hobbes had stuck to self-preservation. His problem was how to draw a line, saying that was a natural right, but there wasn't a natural right to a good bottle of claret. Spinoza's drastic solutions suggests that the whole approach is wrong.
25. Social Practice / A. Freedoms / 1. Slavery
Slavery is a disgraceful crime [Spinoza]
     Full Idea: Slavery is a disgraceful crime.
     From: Baruch de Spinoza (The Ethics [1675], IVApp 21)
     A reaction: Note the date of this - when the slave trade is just getting going, and long before it is threatened or criticised.
25. Social Practice / E. Policies / 5. Education / c. Teaching
The best use of talent is to teach other people to live rationally [Spinoza]
     Full Idea: There is nothing by which a person can better show how much skill and talent he possesses than by so educating men that at last they will live under the direct authority of reason.
     From: Baruch de Spinoza (The Ethics [1675], IVApp 09)
     A reaction: Speaking as a retired philosophy teacher, I think this is an excellent idea, but then I would, wouldn't I? What if you turn a nice warm-hearted friendly young person into a chillingly detached heartless reasoner?
25. Social Practice / F. Life Issues / 4. Suicide
It is impossible that the necessity of a person's nature should produce a desire for non-existence [Spinoza]
     Full Idea: That a man, from the necessity of his own nature, should endeavour to become non-existent, is as impossible as that something should be made out of nothing.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 20)
     A reaction: At first glance this is very paradoxical, but it fits with evolutionary theory, which seems to make it almost inconceivable to naturally desire suicide. The desire to live is universal, and only circumstances can create an artifiical contradictory desire.
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals feel, but that doesn't mean we can't use them for our pleasure and profit [Spinoza]
     Full Idea: I by no means deny that brutes feel, but I do deny that on this account it is unlawful for us to consult our own profit by using them for our own pleasure and treating them as is most convenient for us, inasmuch as they do not agree in nature with us.
     From: Baruch de Spinoza (The Ethics [1675], IV Pr 37)
     A reaction: Something a bit chilling about this. What if I decided that some people did 'not agree with my nature'? Presumably pleasure includes hunting? What was his attitude to bear-baiting?
26. Natural Theory / A. Speculations on Nature / 1. Nature
We can easily think of nature as one individual [Spinoza]
     Full Idea: We may easily conceive the whole of nature to be one individual.
     From: Baruch de Spinoza (The Ethics [1675], II Lem 7)
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
Nature has no particular goal in view, and final causes are mere human figments [Spinoza]
     Full Idea: Nature has no particular goal in view, and final causes are mere human figments.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
     A reaction: This is Spinoza's famous rejection of Aristotelian teleology, which was the last seventeenth century nail in the coffin of the great man. Spinoza substitutes God, but loss of faith in that concept then left us with no purpose at all, as in Hume.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Spinoza strongly attacked teleology, which is the lifeblood of classical logos [Roochnik on Spinoza]
     Full Idea: In his 'Ethics' Spinoza shows his enormous hostility to teleology, which is the lifeblood of classical logos.
     From: comment on Baruch de Spinoza (The Ethics [1675]) by David Roochnik - The Tragedy of Reason p.77
For Spinoza eyes don't act for purposes, but follow mechanical necessity [Roochnik on Spinoza]
     Full Idea: Aristotle would be perfectly happy with the idea that the eyes are for the purpose of seeing. Spinoza would disagree. The objects of the world, including parts of living organisms, have purposes, but obey the laws of mechanical necessity.
     From: comment on Baruch de Spinoza (The Ethics [1675]) by David Roochnik - The Tragedy of Reason p.79
     A reaction: My view is that eyes wouldn't exist if they didn't see, which places them in a different category from inorganic matter.
Final causes are figments of human imagination [Spinoza]
     Full Idea: All final causes are nothing but human fictions.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
     A reaction: You can see why Spinoza was rather controversial in the late seventeenth century, when he says things as bold as this, even though he is echoing Descartes. The latter's proposal (Idea 12730) is methodological, whereas this idea is metaphysical.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
An infinite line can be marked in feet or inches, so one infinity is twelve times the other [Spinoza]
     Full Idea: If an infinite line be measured out in feet, it will consist of an infinite number of such parts; it would equally consist of an infinite number of parts, if each part was only an inch; therefore, one infinity would be twelve times as great as the other.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 15)
     A reaction: This seems to anticipate Cantor. Spinoza's point seemed bewildering then, but is now accepted as a standard feature of the concept of infinity.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
In nature there is just one infinite substance [Spinoza]
     Full Idea: In nature only one substance exists, and it is absolutely infinite.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 10)
     A reaction: This seems to render the concept of 'substance' redundant, since all the interest is now in the attributes (or whatever) of this one substance, and we must work to discount the appearance of there being numerous substances (e.g. you and me).
26. Natural Theory / B. Natural Kinds / 6. Necessity of Kinds
Whatever holds of a kind intrinsically holds of it necessarily [Aristotle]
     Full Idea: In each kind, whatever holds of something in itself and as such holds of it from necessity.
     From: Aristotle (Posterior Analytics [c.327 BCE], 75a30)
     A reaction: This seems to confirm the view that essential properties are necessary, but it does not, of course, follow that all necessary properties are essential properties (e.g. trivial necessities are not essential).
26. Natural Theory / C. Causation / 3. Final causes
A final cause is simply a human desire [Spinoza]
     Full Idea: A cause which is called final is nothing else but human desire, in so far as it is considered as the origin or cause of anything.
     From: Baruch de Spinoza (The Ethics [1675], IV Pref)
     A reaction: A rather vicious swipe at Aristotle! It chimes in with the modern scientific view of the world (mostly associated with Hume), that nature has no intrinsic values or aims. On the large scale, Spinoza is right, but nature can still show us what has value.
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
From a definite cause an effect necessarily follows [Spinoza]
     Full Idea: From a definite cause an effect necessarily follows.
     From: Baruch de Spinoza (The Ethics [1675], I Ax 3)
     A reaction: This encapsulate the view against which Hume was rebelling. However, nowadays no one thinks Spinoza is self-evidently wrong. How are we to distinguish between a cause and a coincident event? We must claim natural necessity.
28. God / A. Divine Nature / 1. God
The key question for Spinoza is: is his God really a God? [Stewart,M on Spinoza]
     Full Idea: The single most important question that can be raised about Spinoza's philosophy is: Is his God really a God?
     From: comment on Baruch de Spinoza (The Ethics [1675]) by Matthew Stewart - The Courtier and the Heretic Ch.13
     A reaction: Novalis called Spinoza a "God-intoxicated man", but this question shows why many of Spinoza's contemporaries (and later) considered him to be an atheist. The general modern answer by commentators to the question appears to be 'No!'.
28. God / A. Divine Nature / 2. Divine Nature
God feels no emotions, of joy or sorrow [Spinoza]
     Full Idea: God is free from passions, neither is He affected with any affect of joy or sorrow.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 17)
     A reaction: The general Christian view is that God has great compassion for human suffering, as Jesus appears to have had. Spinoza was very very intellectual.
God is a substance with infinite attributes [Spinoza]
     Full Idea: By God, I understand Being absolutely infinite, that is to say, substance consisting of infinite attributes, each one of which expresses eternal and infinite essence.
     From: Baruch de Spinoza (The Ethics [1675], I Def 6)
Spinoza's God is just power and necessity, without perfection or wisdom [Leibniz on Spinoza]
     Full Idea: The Spinozist view allows God infinite power only, not granting him either perfection or wisdom, and dismisses searches for final causes and explains everything through brute necessity.
     From: comment on Baruch de Spinoza (The Ethics [1675]) by Gottfried Leibniz - New Essays on Human Understanding 73
     A reaction: It takes a genius like Leibniz to explain so clearly what Spinoza was up to. Some call Spinoza 'God-intoxicated', but others say he is an incipient atheist. The latter is probably closer to the truth.
Spinoza's God is not a person [Spinoza, by Jolley]
     Full Idea: Spinoza's God is not a person.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Nicholas Jolley - Leibniz Ch.5
     A reaction: This will be the central reason why Spinoza was so controversial, because such a view instantly makes religion pointless, despite retaining a core of theism.
God is wholly without passions, and strictly speaking does not love anyone [Spinoza, by Cottingham]
     Full Idea: God, asserts Spinoza, is wholly without passions, and strictly speaking does not love anyone.
     From: report of Baruch de Spinoza (The Ethics [1675]) by John Cottingham - The Rationalists p.179
     A reaction: This seems to me a much more plausible conception of God than the anthropomorphic one of him as the perfect parent who dotes on his offspring.
God is the sum and principle of all eternal laws [Spinoza, by Armstrong,K]
     Full Idea: For Spinoza God is simply the principle of law, the sum of all the eternal laws in existence.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Karen Armstrong - A History of God Ch.9
     A reaction: This seems at variance with the usual view, that Spinoza identifies God with the single substance which makes up nature, and that he is hence a pantheist. Compare the above idea with Idea 4829, for example. Spinoza's God seems close to Aristotle's.
God is not loveable for producing without choice and by necessity; God is loveable for his goodness [Leibniz on Spinoza]
     Full Idea: There is nothing loveable in a God who produces without choice and by necessity, without discrimination of good and evil. The true love of God is founded not in necessity but in goodness.
     From: comment on Baruch de Spinoza (The Ethics [1675], IV Pr 28) by Gottfried Leibniz - Comments on Spinoza's Philosophy
     A reaction: This responds to Spinoza's claims about an 'intellectual' love of God. But why do we love people. It is possible that it is always for their goodness, but might we not love a great mathematician, simply for their wonderful mathematics?
God does not act according to the freedom of the will [Spinoza]
     Full Idea: God does not act according to the freedom of the will.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 32)
     A reaction: Personally I am struck by the idea that even if God had 'free will', I can't see how He would be sure of the fact (the unperceived puppetmaster!). However, I have actually come to the conclusion that a fotally 'free' will is an incoherent concept.
God has no purpose, because God lacks nothing [Spinoza]
     Full Idea: If God works to obtain an end, He necessarily seeks something of which he stands in need.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
     A reaction: The point is that a being with infinite attributes cannot be in need of anything, and hence God merely exists, but does not have a purpose. Hence falling in line with God's purposes cannot be an aim of a human religion.
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
To say that God promotes what is good is false, as it sets up a goal beyond God [Spinoza]
     Full Idea: Those who maintain that God acts in all things with a view of promoting what is good are very far from the truth. For they seem to set up something beyond God, which does not depend on God, but which God looks to as an exemplar or goal.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 33)
     A reaction: That is, Spinoza agrees with Euthyphro, and disagrees with Socrates (see Idea 337). Personally I agree with Socrates, but then I am not 'intoxicated with God' as Spinoza was. If God isn't good, why worship Him?
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Spinoza says a substance of infinite attributes cannot fail to exist [Spinoza, by Lord]
     Full Idea: Spinoza does not argue from the concept of God to his existence; he argues that a substance of infinite attributes cannot not exist.
     From: report of Baruch de Spinoza (The Ethics [1675], I Def 6) by Beth Lord - Spinoza's Ethics 1 P11
     A reaction: Lord is explicit that this is NOT the argument used by Anselm and Descartes. I'm not clear why there has to be a substance of infinite attributes, but presumably that is explained somewhere.
Denial of God is denial that his essence involves existence, which is absurd [Spinoza]
     Full Idea: God, or substance consisting of infinite attributes, each one of which expresses eternal and infinite essence, necessarily exists. If this be denied, conceive that God does not exist. But then his essence does not involve existence, which is absurd.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 11)
     A reaction: Not a very powerful version of the ontological argument. Gaunilo offered an island which has existence as part of its essence, which would pass the same test.
God is being as such, and you cannot conceive of the non-existence of being [Spinoza, by Lord]
     Full Idea: Spinoza argues that you cannot conceive the non-existence of God because you cannot conceive the non-existence of being. God, or a substance of infinite attributes, is being as such.
     From: report of Baruch de Spinoza (The Ethics [1675], I Pr 11) by Beth Lord - Spinoza's Ethics I P11
     A reaction: I'm not clear why I cannot conceive of nothing whatever existing. I can conceive of my fridge being empty, so conceiving non-being is not off limits. Not that inconceivability is an infallible guide to impossibility…
God must necessarily exist, because no reason can be given for his non-existence [Spinoza]
     Full Idea: A thing necessarily exists if no cause or reason be granted which prevents its existence. No cause can be given which prevents the existence of God, or which destroys his existence, so we must conclude that he necessarily exists.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 11)
     A reaction: I can't think of any reason why there shouldn't be a giant rat which fills a large proportion of the universe. Indeed, it may be the missing 'dark matter'. So presumably it has necessary existence. Proving non-existence is obviously tricky.
Some things makes me conceive of it as a thing whose essence requires its existence [Spinoza]
     Full Idea: By cause of itself, I understand that, whose essence involves existence; or that, whose nature cannot be conceived unless existing.
     From: Baruch de Spinoza (The Ethics [1675], I Def 1)
     A reaction: Obviously he has God in mind, but might this apply to abstract existence. Can I conceive of the number seven, while also conceiving that there is no such number? Compare Pegasus.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
Properties must be proved, but not essence; but existents are not a kind, so existence isn't part of essence [Aristotle]
     Full Idea: Everything which a thing is must be proved through a demonstration - except its essence. But existence is not the essence of anything; for the things that exist do not constitute a kind.
     From: Aristotle (Posterior Analytics [c.327 BCE], 92b14)
If a thing can be conceived as non-existing, its essence does not involve existence [Spinoza]
     Full Idea: If a thing can be conceived as non-existing, its essence does not involve existence.
     From: Baruch de Spinoza (The Ethics [1675], I Ax 7)
     A reaction: This points straight at the modern question of whether conceivability is a sufficient test for possibility. Personally I am close to Hume on this one. Necessary existence may not be ridiculous, but it is beyond human capacity to assert its occurrence.
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Priests reject as heretics anyone who tries to understand miracles in a natural way [Spinoza]
     Full Idea: Anyone who seeks the true cause of miracles, and strives to understand natural phenomena as an intelligent being, and not to gaze at them like a fool, is denounced as an impious heretic by those whom the masses adore as interpreters of nature and gods.
     From: Baruch de Spinoza (The Ethics [1675], IApp)
     A reaction: A rather bitter personal remark, by someone who was driven out of Amsterdam as a heretic. Presumably the heresy is not aggressive a priori naturalism, but mere openness to the possibility of natural explanations of miracles.
28. God / C. Attitudes to God / 2. Pantheism
That God is the substance of all things is an ill-reputed doctrine [Leibniz on Spinoza]
     Full Idea: That God is the very nature or substance of all things is the sort of doctrine of ill repute which a recent writer, subtle indeed, though profane, either introduced to the world or revived.
     From: comment on Baruch de Spinoza (The Ethics [1675], I) by Gottfried Leibniz - On Nature Itself (De Ipsa Natura) §08
     A reaction: This is clearly a comment on Spinoza. Leibniz seems to have spent his whole life in shock after his meeting with Spinoza.
God is the efficient cause of essences, as well as of existences [Spinoza]
     Full Idea: God is not only the efficient cause of the existence of things, but also of their essence.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 25)
     A reaction: This is close to Leibniz's view that the so-called 'laws of nature' are not imposed by God from outside, but are rooted with nature, in the essences of what has been created (which is modern scientific essentialism).
The human mind is part of the infinite intellect of God [Spinoza]
     Full Idea: The human mind is part of the infinite intellect of God.
     From: Baruch de Spinoza (The Ethics [1675], II Pr 11)
     A reaction: What is the difference between being a part of something which totally fails to communicate with the whole, and being separate from the whole? Spinoza's proposal strikes me as daft.
Everything is in God, and nothing exists or is thinkable without God [Spinoza]
     Full Idea: Whatever is, is in God, and nothing can either be or be conceived without God.
     From: Baruch de Spinoza (The Ethics [1675], I Pr 15)
     A reaction: Presumably atheists are not very good at conceiving, because they don't understand properly. This is the pantheism for which Spinoza became famous, or notorious. Critics said he was a closet atheist.
28. God / C. Attitudes to God / 5. Atheism
In Spinoza, one could substitute 'nature' or 'substance' for the word 'God' throughout [Spinoza, by Stewart,M]
     Full Idea: In Spinoza's 'Ethics' one can substitute the word "Nature" (or "Substance", or even simply an X) for God throughout, and the logic of the argument changes little, if at all.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Matthew Stewart - The Courtier and the Heretic Ch.13
     A reaction: This claim, if correct, is the clearest statement of why we should really consider Spinoza one of the first atheists, despite his endless use of the word 'God'.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Spinoza's theory of mind implies that there is no immortality [Spinoza, by Stewart,M]
     Full Idea: A final (and for his contemporaries, dreadful) consequence of Spinoza's theory of the mind is that there is no personal immortality.
     From: report of Baruch de Spinoza (The Ethics [1675]) by Matthew Stewart - The Courtier and the Heretic Ch.10
     A reaction: For Spinoza's view of the mind, see Idea 4308. The denial of immortality would also seem to be a consequence of modern emergentist views of the mind, which is espoused by religious people looking for a compromise between dualism and science.
After death, something eternal remains of the mind [Spinoza]
     Full Idea: The human mind cannot be absolutely destroyed with the body, but something of it remains which is eternal.
     From: Baruch de Spinoza (The Ethics [1675], V Pr 23)
     A reaction: This sounds contrary to Spinoza's monism of mind and body, but he seems to mean little more than that minds are reabsorbed into the whole. See Beth Lord's commentary [p.146]. Compare stoics on the subject.