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All the ideas for 'Categories', 'Penguin Dictionary of Philosophy' and 'The Justification of Deduction'

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82 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Without extensive examination firm statements are hard, but studying the difficulties is profitable [Aristotle]
     Full Idea: It is hard to make firm statements on these questions without having examined them many times, but to have gone through the various difficulties is not unprofitable.
     From: Aristotle (Categories [c.331 BCE], 08b23)
     A reaction: Suggesting that philosophy is more like drawing the map than completing the journey.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to understand the world, through ordinary experience and science [Dummett]
     Full Idea: Philosophy is an attempt to understand the world, as it is revealed to us both in our ordinary experience and by the discoveries and theories of science.
     From: Michael Dummett (The Justification of Deduction [1973], p.311)
     A reaction: I don't see a sharp division between 'ordinary' and 'scientific'. I really like this idea, first because it makes 'understanding' central, and second because it wants both revelations. In discussing matter and time, there is too much emphasis on science.
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Linguistic philosophy approaches problems by attending to actual linguistic usage [Mautner]
     Full Idea: Linguistic philosophy gives careful attention to actual linguistic usage as a method of dealing with problems of philosophy, resulting in either their solution or dissolution.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.318)
     A reaction: This approach is now deeply discredited and unfashionable, and, I think (on the whole), rightly so. Philosophy should aim a little higher in (say) epistemology than merely describing how people use words like 'know' and 'believe' and 'justify'.
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy studies the unimportant, and sharpens tools instead of using them [Mautner]
     Full Idea: Critics of analytic philosophers accuse them of excessive attention to relatively unimportant matters, and of being more interested in sharpening tools than in using them.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.111)
     A reaction: The last part is a nice comment. Both criticisms seem to me to contain some justice, but recently things have improved (notably in the new attention paid by analytical philosophy to metaphysics). In morality analytic philosophy seems superior.
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
The 'hermeneutic circle' says parts and wholes are interdependent, and so cannot be interpreted [Mautner]
     Full Idea: The 'hermeneutic circle' consists in the fact that an interpretation of part of a text requires a prior understanding of the whole, and the interpretation of the whole requires a prior understanding of its parts.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.247)
     A reaction: This strikes me as a benign circle, solved the way Aristotle solves the good man/good action circle. You make a start somewhere, like a child learning to speak, and work your way into the circle. Not really a problem.
2. Reason / B. Laws of Thought / 4. Contraries
Both sides of contraries need not exist (as health without sickness, white without black) [Aristotle]
     Full Idea: With contraries it is not necessary if one exists for the other to exist too, for if everyone were well health would exist but not sickness, and if everything were white whiteness would exist but not black.
     From: Aristotle (Categories [c.331 BCE], 14a06)
The contrary of good is bad, but the contrary of bad is either good or another evil [Aristotle]
     Full Idea: What is contrary to a good thing is necessarily bad, as we see with health and sickness. But the contrary of bad is sometimes good, sometimes not, as we see with excess, opposed by both deficiency and moderation.
     From: Aristotle (Categories [c.331 BCE], 13b36)
2. Reason / D. Definition / 4. Real Definition
'Real' definitions give the essential properties of things under a concept [Mautner]
     Full Idea: A 'real definition' (as opposed to a linguistic one) is a statement which gives the essential properties of the things to which a given concept applies.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition')
     A reaction: This is often seen as old-fashioned, Aristotelian, and impossible to achieve, but I like it and aspire to it. One can hardly be precise about which properties are 'essential' to something, but there are clear cases. Your 'gold' had better not be brass.
2. Reason / D. Definition / 7. Contextual Definition
'Contextual definitions' replace whole statements, not just expressions [Mautner]
     Full Idea: Usually in a definition the definiens (definition) can replace the definiendum (expression defined), but in a 'contextual definition' only the whole statement containing the definiens can replace the whole statement containing the definiendum.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition')
     A reaction: These definitions are crucial to Frege's enterprise in the 'Grundlagen'. Logicians always want to achieve definition with a single neat operation, but in ordinary language we talk around a definition, giving a variety of possibilities (as in teaching).
2. Reason / D. Definition / 9. Recursive Definition
Recursive definition defines each instance from a previous instance [Mautner]
     Full Idea: An example of a recursive definition is 'y is an ancestor of x' is defined as 'y is a parent of x, or y is a parent of an ancestor of x'.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition')
     A reaction: From this example I guess that 'ancestor' means 'friend'. Or have I misunderstood? I think we need to define 'grand-parent' as well, and then offer the definition of 'ancestor' with the words 'and so on...'. Essentially, it is mathematical induction.
2. Reason / D. Definition / 10. Stipulative Definition
A stipulative definition lays down that an expression is to have a certain meaning [Mautner]
     Full Idea: A stipulative definition lays down that a given linguistic expression is to have a certain meaning; this is why they cannot be said to be correct or incorrect.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition')
     A reaction: These are uncontroversial when they are explicitly made in writing by a single person. The tricky case is where they are implicitly made in conversation by a community. After a century or two these look like facts, their origin having been lost.
2. Reason / D. Definition / 11. Ostensive Definition
Ostensive definitions point to an object which an expression denotes [Mautner]
     Full Idea: Ostensive definitions explain what an expression means by pointing to an object, action, event, etc. denoted by the expression.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition')
     A reaction: These will need some context. If I define 'red' simply by pointing to a red square, you might conclude that 'red' means square. If I point to five varied red objects, you have to do the work of spotting the common ingredient. I can't mention 'colour'.
2. Reason / E. Argument / 6. Conclusive Proof
A successful proof requires recognition of truth at every step [Dummett]
     Full Idea: For a demonstration to be cogent it is necessary that the passage from step to step involve a recognition of truth at each line.
     From: Michael Dummett (The Justification of Deduction [1973], p.313)
     A reaction: Dummett cited Quine (esp. 1970) as having an almost entirely syntactic view of logic. Rumfitt points out that logic can move validly from one falsehood to another. Even a 'proof' might detour into falsehood, but it would not be a 'canonical' proof!
2. Reason / F. Fallacies / 5. Fallacy of Composition
The fallacy of composition is the assumption that what is true of the parts is true of the whole [Mautner]
     Full Idea: The fallacy of composition is an inference relying on the invalid principle that whatever is true of every part is also true of the whole; thus, we cannot assume that because the members of a committee are rational, that the committee as a whole is.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.102)
     A reaction: This is a very common and very significant fallacy, which is perpetrated by major philosophers like Aristotle (Idea 31), unlike most of the other informal fallacies.
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The differentiae of genera which are different are themselves different in kind [Aristotle]
     Full Idea: The differentiae of genera which are different and not subordinate one to the other are themselves different in kind.
     From: Aristotle (Categories [c.331 BCE], 01b16)
     A reaction: This seems to be indicating a category mistake, as he warns us not to attribute the wrong kind of differentiae to something we are picking out.
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A true existence statement has its truth caused by the existence of the thing [Aristotle]
     Full Idea: Whereas the true statement [that there is a man] is in no way the cause of the actual thing's existence, the actual thing does seem in some way the cause of the statement's being true.
     From: Aristotle (Categories [c.331 BCE], 14b18)
     A reaction: Armstrong offers this as the earliest statement of the truthmaker principle. Notice the cautious qualification 'seem in some way'. The truthmaker dependence seems even clearer in falsemaking, where the death of the man falsifies the statement.
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett]
     Full Idea: It is arguable whether two-valued truth tables give correct meanings for certain sentential operators, and even whether they constitute legitimate explanations of any possible sentential operators.
     From: Michael Dummett (The Justification of Deduction [1973], p.294)
     A reaction: See 'Many-valued logic' for examples of non-binary truth tables. Presumably logicians should aspire to make their semantics precise, as well as their syntax.
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic is based on the notion that there can be membership of a set to some degree [Mautner]
     Full Idea: Fuzzy logic is based upon fuzzy set-theory, in which the simple notion of membership of a set is replaced by a notion of membership to some degree.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.214)
     A reaction: The idea that something could be to some degree a 'heap of sand' sounds plausible, but Williamson and Sorensen claim that the vagueness is all in us (i.e. it is epistemological), and not in the world. This will scupper fuzzy logic.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Deduction is justified by the semantics of its metalanguage [Dummett, by Hanna]
     Full Idea: For Dummett the semantics of the metalanguage is the external and objective source of the justification of deduction.
     From: report of Michael Dummett (The Justification of Deduction [1973]) by Robert Hanna - Rationality and Logic 3.4
     A reaction: This is offered as an answer to the Lewis Carroll problem that justifying deduction seems to need deduction, thus leading to a regress. [There is a reply to Dummett by Susan Haack]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
     Full Idea: Whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject also.
     From: Aristotle (Categories [c.331 BCE], 01b10)
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Syntactic consequence is positive, for validity; semantic version is negative, with counterexamples [Dummett]
     Full Idea: A plausible account is that the syntactic notion of consequence is for positive results, that some form of argument is valid; the semantic notion is required for negative results, that some argument is invalid, because a counterexample can be found.
     From: Michael Dummett (The Justification of Deduction [1973], p.292)
     A reaction: This rings true for the two strategies of demonstration, the first by following the rules in steps, the second by using your imagination (or a tableau) to think up problems.
5. Theory of Logic / B. Logical Consequence / 6. Entailment
Entailment is logical requirement; it may be not(p and not-q), but that has problems [Mautner]
     Full Idea: Entailment is the modern word saying that p logically follows from q. Its simplest definition is that you cannot have both p and not-q, but this has the problem that if p is impossible it will entail every possible proposition, which seems unacceptable.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.169)
     A reaction: The word 'entail' was introduced by G.E. Moore in 1920, in preference to 'imply'. It seems clear that we need terms for (say) active implication (q must be true if p is true) and passive implication (p must be false if q is false).
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Strict implication says false propositions imply everything, and everything implies true propositions [Mautner]
     Full Idea: Strict implication [not(p and not-q)] carries the paradoxes that a false proposition (p) implies any proposition (q), and a true proposition (q) is materially implied by any proposition (p).
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.270)
     A reaction: This seems to show that we have two drastically different notions of implication; one (the logician's) is boring and is defined by a truth table; the other (the ordinary interesting one) says if you have one truth you can deduce a second.
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
     Full Idea: 'Material implication' is a term introduced by Russell which is defined as 'the conjunction of p and not-q is false', but carries a strong implication that p implies q, and so there must be some kind of connection between them, which is misleading.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.270)
     A reaction: Mautner says statements of the form 'if p then q' are better called 'conditionals' than 'material implications'. Clearly there is a need for more precise terminology here, as the underlying concepts seem simple enough.
A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
     Full Idea: 'Implying' is different from 'inferring', because a person who infers draws the conclusion, but a person who implies leaves it to the audience to draw the conclusion.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.279)
     A reaction: I had always taken it just that the speaker does the implying and the audience does the inferring. Of course a speaker may not know what he or she is implying, but an audience must be aware of what it is inferring.
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Vagueness seems to be inconsistent with the view that every proposition is true or false [Mautner]
     Full Idea: Vagueness is of great philosophical interest because it seems to be inconsistent with the view that every proposition is true or false.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.585)
     A reaction: This would explain why Williamson and Sorensen are keen to argue that vagueness is an epistemological (rather than ontological) problem. In ordinary English we are happy to say that p is 'sort of true' or 'fairly true'.
5. Theory of Logic / G. Quantification / 1. Quantification
Quantifiers turn an open sentence into one to which a truth-value can be assigned [Mautner]
     Full Idea: In formal logic, quantifiers are operators that turn an open sentence into a sentence to which a truth-value can be assigned.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.464)
     A reaction: The standard quantifiers are 'all' and 'at least one'. The controversy is whether quantifiers actually assert existence, or whether (as McGinn says) they merely specify the subject matter of the sentence. I prefer the latter.
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Beth trees show semantics for intuitionistic logic, in terms of how truth has been established [Dummett]
     Full Idea: Beth trees give a semantics for intuitionistic logic, by representing sentence meaning in terms of conditions under which it is recognised to have been established as true.
     From: Michael Dummett (The Justification of Deduction [1973], p.305)
In standard views you could replace 'true' and 'false' with mere 0 and 1 [Dummett]
     Full Idea: Nothing is lost, on this view, if in the standard semantic treatment of classical sentential logic, we replace the standard truth-values 'true' and 'false' by the numbers 0 and 1.
     From: Michael Dummett (The Justification of Deduction [1973], p.294)
     A reaction: [A long context will explain 'on this view'] He is discussing the relationship of syntactic and semantic consequence, and goes on to criticise simple binary truth-table accounts of connectives. Semantics on a computer would just be 0 and 1.
Classical two-valued semantics implies that meaning is grasped through truth-conditions [Dummett]
     Full Idea: The standard two-valued semantics for classical logic involves a conception under which to grasp the meaning of a sentence is to apprehend the conditions under which it is, or is not, true.
     From: Michael Dummett (The Justification of Deduction [1973], p.305)
     A reaction: The idea is that you only have to grasp the truth tables for sentential logic, and that needs nothing more than knowing whether a sentence is true or false. I'm not sure where the 'conditions' creep in, though.
5. Theory of Logic / K. Features of Logics / 4. Completeness
Soundness and completeness proofs test the theory of meaning, rather than the logic theory [Dummett]
     Full Idea: A proof of soundess or completeness is a test, not so much of the logical theory to which it applies, but of the theory of meaning which underlies the semantics.
     From: Michael Dummett (The Justification of Deduction [1973], p.310)
     A reaction: These two types of proof concern how the syntax and the semantics match up, so this claim sounds plausible, though I tend to think of them as more like roadworthiness tests for logic, checking how well they function.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One is prior to two, because its existence is implied by two [Aristotle]
     Full Idea: One is prior to two because if there are two it follows at once that there is one, whereas if there is one there is not necessarily two.
     From: Aristotle (Categories [c.331 BCE], 14a29)
     A reaction: The axiomatic introduction of a 'successor' to a number does not seem to introduce this notion of priority, based on inclusiveness. Introducing order by '>' also does not seem to indicate any logical priority.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Parts of a line join at a point, so it is continuous [Aristotle]
     Full Idea: A line is a continuous quantity. For it is possible to find a common boundary at which its parts join together, a point.
     From: Aristotle (Categories [c.331 BCE], 04b33)
     A reaction: This appears to be the essential concept of a Dedekind cut. It seems to be an open question whether a cut defines a unique number, but a boundary seems to be intrinsically unique. Aristotle wins again.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
     Full Idea: Of quantities, some are discrete, others continuous. ...Discrete are number and language; continuous are lines, surfaces, bodies, and also, besides these, time and place.
     From: Aristotle (Categories [c.331 BCE], 04b20)
     A reaction: This distinction seems to me to be extremely illuminating, when comparing natural numbers with real numbers, and it is the foundation of the Greek view of mathematics.
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Primary being must be more than mere indeterminate ultimate subject of predication [Politis on Aristotle]
     Full Idea: He criticises his 'Categories' view, because if primary being is simply the ultimate subject of predication the primary being is, in virtue of itself, something indeterminate; it would be a necessary but not a sufficient condition for primary being.
     From: comment on Aristotle (Categories [c.331 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 7.5
     A reaction: Thus, Politis argues, primary being is essence in the later work. The words 'substance' and 'ousia' cause confusion here, and must be watched closely. Wedin argues that Aristotle merely develops his 'Categories' view, but most disagree.
7. Existence / B. Change in Existence / 1. Nature of Change
There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place [Aristotle]
     Full Idea: There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place. A change in our affections would be an example of alteration.
     From: Aristotle (Categories [c.331 BCE], 15a13)
7. Existence / C. Structure of Existence / 4. Ontological Dependence
A thing is prior to another if it implies its existence [Aristotle]
     Full Idea: That from which the implication of existence does not hold reciprocally is thought to be prior.
     From: Aristotle (Categories [c.331 BCE], 14a32)
     A reaction: shadows and objects
Of interdependent things, the prior one causes the other's existence [Aristotle]
     Full Idea: For of things which reciprocate as to implication of existence, that which is in some way the cause of the other's existence might reasonably by called prior by nature.
     From: Aristotle (Categories [c.331 BCE], 14b12)
     A reaction: Not so clear when you seek examples. The bus is prior to its redness, but you can't have a colourless bus, so being coloured is prior to being a bus. Aristotle's example is a man being prior to the truths about him.
7. Existence / E. Categories / 3. Proposed Categories
The categories (substance, quality, quantity, relation, action, passion, place, time) peter out inconsequentially [Benardete,JA on Aristotle]
     Full Idea: The Aristotelian schedule of categories - substance, quality, quantity, relation, action, passion, place, time, and so forth - appears to peter out inconsequentially.
     From: comment on Aristotle (Categories [c.331 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.7
     A reaction: Compare Idea 5544 for Kant's attempt to classify categories. Personally I like the way Aristotle's 'peter out'. That seems to me a more plausible character for good metaphysics.
There are ten basic categories for thinking about things [Aristotle]
     Full Idea: Of things said without any combination, each signifies either substance or quantity or qualification or a relative or where or when or being-in-a-position or having or doing or being-affected.
     From: Aristotle (Categories [c.331 BCE], 01b25)
     A reaction: This sums up the earlier of Aristotle's two metaphysical view, and each of this categories is discussed in the present text.
Substance,Quantity,Quality,Relation,Place,Time,Being-in-a-position,Having,Doing,Being affected [Aristotle, by Westerhoff]
     Full Idea: Aristotle's list of ten categories proved to be the most influential scheme found in his works: Substance, Quantity, Quality, Relation, Place, Time, Being-in-a-position, Having, Doing, Being affected.
     From: report of Aristotle (Categories [c.331 BCE]) by Jan Westerhoff - Ontological Categories §01
7. Existence / E. Categories / 4. Category Realism
Aristotle derived categories as answers to basic questions about nature, size, quality, location etc. [Aristotle, by Gill,ML]
     Full Idea: Aristotle seems to have worked out his list of categories by considering various questions that one might ask about a particular object, such as What is it? How big is it? How is it qualified? And Where is it?
     From: report of Aristotle (Categories [c.331 BCE]) by Mary Louise Gill - Aristotle on Substance
     A reaction: Of course, to think of his questions, Aristotle already had categories in his mind. How would he approach a proposal to recategorise reality more efficiently?
8. Modes of Existence / A. Relations / 1. Nature of Relations
Aristotle said relations are not substances, so (if they exist) they must be accidents [Aristotle, by Heil]
     Full Idea: Aristotle categorised relations as accidents - Socrates's whiteness, the sphericity of this ball - entities dependent on substances. Relations are not substances, so they must be, if anything at all, accidents.
     From: report of Aristotle (Categories [c.331 BCE], §7) by John Heil - Relations 'Historical'
     A reaction: Heil says this thought encouraged anti-realist views of relations, which became the norm until Russell.
8. Modes of Existence / B. Properties / 2. Need for Properties
Aristotle promoted the importance of properties and objects (rather than general and particular) [Aristotle, by Frede,M]
     Full Idea: In 'Categories' Aristotle is taking a first step in making the distinction between objects and properties central to ontology. This plays virtually no role in Plato, and was overshadowed by the distinction between general and particular.
     From: report of Aristotle (Categories [c.331 BCE]) by Michael Frede - Individuals in Aristotle I
     A reaction: Frede says he gets in a tangle because he mixes the earlier and the new views. Because we are nowadays in a total muddle about properties, I'm thinking we should go back to the earlier view! Modern commentators make him a trope theorist.
8. Modes of Existence / B. Properties / 6. Categorical Properties
Some things said 'of' a subject are not 'in' the subject [Aristotle]
     Full Idea: Of things there are, some are said of a subject, but are not in any subject. For example, man is said of a subject, the individual man, but is not in any subject.
     From: Aristotle (Categories [c.331 BCE], 01a20)
     A reaction: See? 'Being a man' is not a property of a man! Only the properties which are 'in' the man are properties of the man. The rest are things which are said 'of' men, usually as classifications. A classification is not a property.
We call them secondary 'substances' because they reveal the primary substances [Aristotle]
     Full Idea: It is reasonable that, after the primary substances, their species and genera should be the only other things called (secondary) substances. For only they, of things predicated, reveal the primary substance.
     From: Aristotle (Categories [c.331 BCE], 02b29)
     A reaction: This is the key passage in all of Aristotle for sortal essentialists like Wiggins, especially the word 'only'. I take it that this observation is superseded by the Metaphysics. Definition is the route to substance (which involves general terms).
8. Modes of Existence / B. Properties / 9. Qualities
Four species of quality: states, capacities, affects, and forms [Aristotle, by Pasnau]
     Full Idea: In Categories 8 there are four species of qualities: States and conditions, Natural capacities and incapacities, Affective qualities or affections, and Shape and external form.
     From: report of Aristotle (Categories [c.331 BCE], Ch.8) by Robert Pasnau - Metaphysical Themes 1274-1671 23.5
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Colour must be in an individual body, or it is not embodied [Aristotle]
     Full Idea: Colour is in body and therefore also in an individual body; for were it not in some individual body it would not be in body at all.
     From: Aristotle (Categories [c.331 BCE], 02b02)
     A reaction: This may be just a truism, or it may be the Aristotelian commitment to universals only existing if they are instantiated.
9. Objects / A. Existence of Objects / 1. Physical Objects
Aristotle gave up his earlier notion of individuals, because it relied on universals [Aristotle, by Frede,M]
     Full Idea: In 'Metaphysics' Aristotle abandons the notion of an individual which he had relied on in the 'Categories', since it presupposes that there are general things, that there are universals.
     From: report of Aristotle (Categories [c.331 BCE]) by Michael Frede - Individuals in Aristotle Intro
     A reaction: Ah, very illuminating. So all the way through we have a concept of individuals, first relying on universals, and then relying on hylomorphism? I suppose a bundle theory of individuals would need universals.
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin]
     Full Idea: The reason Aristotle gives for calling species and genera substances is that of what is predicated only they reveal what the primary substance is.
     From: report of Aristotle (Categories [c.331 BCE], 02b29-37) by Michael V. Wedin - Aristotle's Theory of Substance III.6
     A reaction: Thus we should not be misled into thinking that the genus and species ARE the essence. We edge our way towards the essence of an individual by subdividing its categories.
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances have no opposites, and don't come in degrees (including if the substance is a man) [Aristotle]
     Full Idea: There is nothing contrary to substances,…. and a substance does not admit of a more and a less. If this substance is a man, it will not be more a man or less a man either than itself or than another man.
     From: Aristotle (Categories [c.331 BCE], 03b33)
Is primary substance just an ultimate subject, or some aspect of a complex body? [Aristotle, by Gill,ML]
     Full Idea: 'Categories' treats something's being an ultimate subject as a test for being a primary substance, but it does not treat its primary objects as complex bodies consisting of matter and form. In that case, is the composite or a feature the ultimate subject?
     From: report of Aristotle (Categories [c.331 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.1
     A reaction: Gill is trying to throw light on the difference between 'Categories' and 'Metaphysics'. Once you have hylomorphism (form-plus-matter) you have a new difficulty in explaining unity. The answer is revealed once we understand 'form'.
Primary being is 'that which lies under', or 'particular substance' [Aristotle, by Politis]
     Full Idea: In 'Categories' Aristotle argues the primary being (proté ousia) is the ultimate subject of predication (to hupokeimenon, meaning 'that which lies under'), nowadays referred to as the 'particular substance' view.
     From: report of Aristotle (Categories [c.331 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 4.4
     A reaction: Politis says that Aristotle shifts to the quite different view in 'Metaphysics', that primary being is essence, rather than mere subject of predication.
A single substance can receive contrary properties [Aristotle]
     Full Idea: It seems distinctive of substance that what is numerically one and the same is able to receive contraries. ...For example, an individual man - one and the same - becomes pale at one time and dark at another.
     From: Aristotle (Categories [c.331 BCE], 04a10/20)
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Secondary substances do have subjects, so they are not ultimate in the ontology [Aristotle, by Frede,M]
     Full Idea: The concept of substance applies to secondary substances only with some deletions; ..it is not true that they have no subjects, and hence they are not ultimate subjects for all other elements of the ontology.
     From: report of Aristotle (Categories [c.331 BCE]) by Michael Frede - Title, Unity, Authenticity of the 'Categories' V
     A reaction: It increasingly strikes that to treat secondary substance (roughly, species) as essence is a shocking misreading of Aristotle. Frede says they are substances, because they do indeed 'underlie'.
In earlier Aristotle the substances were particulars, not kinds [Aristotle, by Lawson-Tancred]
     Full Idea: In 'Metaphysics' Aristotle changed his view, as in 'Categories' the substances, the basic realities, were particular items, notably individual men, horses, cabbages etc.
     From: report of Aristotle (Categories [c.331 BCE]) by Hugh Lawson-Tancred - Introductions to 'Metaphysics' p.178
     A reaction: The charge is that having successfully rebelled against Plato, Aristotle gradually succumbed to his teacher's influence, and ended up with a more platonist view. For anti-platonists like myself, the 'Categories' seems to be the key text.
A 'primary' substance is in each subject, with species or genera as 'secondary' substances [Aristotle]
     Full Idea: A substance, in its most primary sense, is that which is neither said of a subject nor in a subject, e.g. the individual man or horse. The species in which things primarily called substances are, are called secondary substances, as are the genera.
     From: Aristotle (Categories [c.331 BCE], 02a11)
     A reaction: This distinction between 'primary' and 'secondary' substances is characteristic of Aristotle's earlier metaphysical view, with the later view (more unified and Platonic) in the 'Metaphysics'.
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Earlier Aristotle had objects as primary substances, but later he switched to substantial form [Aristotle, by Lowe]
     Full Idea: In 'Categories' primary substances are individual concrete objects, such as a particular horse, whereas in 'Metaphysics' such things are combinations of matter and substantial form, with the latter being the primary substances.
     From: report of Aristotle (Categories [c.331 BCE]) by E.J. Lowe - The Possibility of Metaphysics 9.1
     A reaction: Lowe claims there is no real difference. Aristotle came to think that matter was not part of primary substance, so the shift seems to be that substance was concrete, but then he decided it was abstract. Physicists will prefer 'Metaphysics'.
Things are called 'substances' because they are subjects for everything else [Aristotle]
     Full Idea: It is because the primary substances are subjects for everything else that they are called substances [ousiai] most strictly.
     From: Aristotle (Categories [c.331 BCE], 03a04)
     A reaction: This points to a rather minimal account of substance, as possibly the 'bare particular' which has no other role than to have properties. This expands in 'Metaphysics' to be matter which has form, making properties possible.
9. Objects / D. Essence of Objects / 3. Individual Essences
A primary substance reveals a 'this', which is an individual unit [Aristotle]
     Full Idea: Every substance seems to signify a certain 'this'. As regards the primary substances, it is indisputably true that each of them signifies a certain 'this'; for the thing revealed is individual and numerically one.
     From: Aristotle (Categories [c.331 BCE], 03b10)
     A reaction: The notion of 'primary' substance is confined to this earlier metaphysics of Aristotle.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Primary substances are ontological in 'Categories', and explanatory in 'Metaphysics' [Aristotle, by Wedin]
     Full Idea: The primacy of 'Categories' primary substances is a kind of ontological primacy, whereas the primacy of form is a kind of structural or explanatory primacy.
     From: report of Aristotle (Categories [c.331 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance X.9
     A reaction: 'Structural' and 'explanatory' sound very different, since the former sounds ontological and the latter epistemological (and more subjective).
9. Objects / F. Identity among Objects / 5. Self-Identity
Aristotle denigrates the category of relation, but for modern absolutists self-relation is basic [Benardete,JA on Aristotle]
     Full Idea: Aristotle denigrates the whole category of relations, but modern logical absolutists single out self-relation (in the mode of identity) as metaphysically privileged.
     From: comment on Aristotle (Categories [c.331 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.8
     A reaction: I think this refers to Plantinga and Merrihew Adams, who make identity-with-itself the basic component of individual existences.
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals presuppose a belief (or a fact) that the condition is false [Mautner]
     Full Idea: A conditional is called counterfactual because its use seems to presuppose that the user believes its antecedent to be false. Some insist that the antecedent must actually be false.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.114)
     A reaction: I am inclined to favour the stricter second version. "If I am on Earth then I have weight" hardly sounds counterfactual. However, in "If there is a God then I will be saved" it is not clear whether it is counterfactual, so it had better be included.
Counterfactuals are not true, they are merely valid [Mautner]
     Full Idea: One view of counterfactuals says they are not true, but are merely valid.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.114)
     A reaction: This makes counterfactuals a branch of logic rather than of metaphysics. I find the metaphysical view more exciting as they are part of speculation and are beyond the capacity of computers (which I suspect they are).
Counterfactuals are true if in every world close to actual where p is the case, q is also the case [Mautner]
     Full Idea: Another view of counterfactuals (Lewis, Pollock, Stalnaker) is that they are true if at every possible world at which it is the case that p, and which is otherwise as similar as possible to the actual world, it is also the case that q.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.114)
     A reaction: This seems a good way if putting if, like Lewis, you actually believe in the reality of possible worlds, because then you are saying a counterfactual is made true by a set of facts. Otherwise it is not clear what the truth-maker is here.
Counterfactuals say 'If it had been, or were, p, then it would be q' [Mautner]
     Full Idea: A counterfactual conditional (or 'counterfactual') is a proposition or sentence of the form 'If it had been the case that p, then it would have been the case that q', or 'If it were the case that p, then it would be the case that q'.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.114)
     A reaction: The first statement refers to the past, but the second (a subjunctive) refers to any situation at any time. We know more about inferences that we could have made in the past than we do about what is inferable at absolutely any time.
Maybe counterfactuals are only true if they contain valid inference from premisses [Mautner]
     Full Idea: One view of counterfactuals (Chisholm, Goodman, Rescher) is that they are only true if there is a valid logical inference from p and some other propositions of certain kinds (controversial) to q.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.115)
     A reaction: The aspiration that counterfactual claims should reduce to pure logic sounds a bit hopeful to me. Logic is precise, but assertions about how things would be is speculative and imaginative.
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Essentialism is often identified with belief in 'de re' necessary truths [Mautner]
     Full Idea: Many writers identify essentialism with the belief in 'de re' necessary truths
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.179)
     A reaction: I like essentialism, but I cautious about this. If I accept that I have an essential personal identity as I write this, but that it could change over time, the same principle might apply to other natural essences.
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Fallibilism is the view that all knowledge-claims are provisional [Mautner]
     Full Idea: Fallibilism is the view, proposed by Peirce, and found in Reichenbach, Popper, Quine etc that all knowledge-claims are provisional and in principle revisable, or that the possibility of error is ever-present.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.194)
     A reaction: I think of this as footnote to all thought which reads "Note 1: but you never quite know". Personally I would call myself a fallibilist, and am surprise at anyone who doesn't. The point is that this does not negate 'knowledge'. I am fairly sure 2+3=5.
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
'Sense-data' arrived in 1910, but it denotes ideas in Locke, Berkeley and Hume [Mautner]
     Full Idea: The term 'sense-data' gained currency around 1910, through writings of Moore and Russell, but it seems to denote at least some of the things referred to as 'ideas of sense' (Locke), or 'ideas' and 'sensible qualities' (Berkeley), or 'impressions' (Hume).
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.518)
     A reaction: See also Hobbes in Idea 2356 for an even earlier version. It looks as if the concept of sense-data is almost unavoidable for empiricists, and yet most modern empiricists have rejected them. You still have to give an account of perceptual illusions.
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Observing lots of green x can confirm 'all x are green' or 'all x are grue', where 'grue' is arbitrary [Mautner, by PG]
     Full Idea: Observing green emeralds can confirm 'all emeralds are green' or 'all emeralds are grue', where 'grue' is an arbitrary predicate meaning 'green until t and then blue'. Thus predictions are arbitrary, depending on how the property is described.
     From: report of Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.225) by PG - Db (ideas)
     A reaction: This increasingly strikes me as the sort of sceptical nonsense that is concocted by philosophers who are enthralled to language instead of reality. It does draw attention to an expectation of stability in induction, both in language and in nature.
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
'All x are y' is equivalent to 'all non-y are non-x', so observing paper is white confirms 'ravens are black' [Mautner, by PG]
     Full Idea: If observing a white sheet of paper confirms that 'all non-black things are non-ravens', and that is logically equivalent to 'all ravens are black' (which it is), then the latter proposition is confirmed by irrelevant observations.
     From: report of Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.105) by PG - Db (ideas)
     A reaction: This seems to me more significant than the 'grue' paradox. If some observations can be totally irrelevant (except to God?), then some observations are much more relevant than others, so relevance is a crucial aspect of induction.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
An explanation is often a deduction, but that may well beg the question [Dummett]
     Full Idea: An explanation is often a deductive argument, with the fact needing explaining as its conclusion. ...But the conclusion is usually given in advance, and we may only believe the premisses because they plausibly explain the conclusion.
     From: Michael Dummett (The Justification of Deduction [1973], p.296)
     A reaction: [compressed (Dummett's wordy prose cries out for it!)] I suppose this works better in mathematics, which is central to Dummett's interests. In the real world the puzzle is not usually logically implied by its explanation.
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Holism is not a theory of meaning; it is the denial that a theory of meaning is possible [Dummett]
     Full Idea: In the sense of giving a model for the content of a sentence, its representative power, holism is not a theory of meaning; it is the denial that a theory of meaning is possible.
     From: Michael Dummett (The Justification of Deduction [1973], p.309)
     A reaction: This will obviously be because sentences just don't have meaning in isolation, so their meaning can't be given in terms of the sentences.
19. Language / C. Assigning Meanings / 3. Predicates
Only what can be said of many things is a predicable [Aristotle, by Wedin]
     Full Idea: Aristotle reminds us that nothing is to count as predicable that cannot be said-of many things.
     From: report of Aristotle (Categories [c.331 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance III.1
     A reaction: Thus there wouldn't be any predicates if there were not universals. Could we have proper names for individual qualities (tropes), in the way that we have them for individual objects?
Some predicates signify qualification of a substance, others the substance itself [Aristotle]
     Full Idea: 'White' signifies nothing but a qualification, whereas the species ('man') and the genus ('animal') mark off the qualification of substance - they signify substance of a certain qualification.
     From: Aristotle (Categories [c.331 BCE], 03b18)
     A reaction: This is making a fundamental distinction between two different types of predication. I would describe them as one attributing a real property, and the other attributing a category (as a result of the properties). I don't think 'substance' helps here.
19. Language / C. Assigning Meanings / 9. Indexical Semantics
The references of indexicals ('there', 'now', 'I') depend on the circumstances of utterance [Mautner]
     Full Idea: Indexicals are expressions whose references depend on the circumstances of utterance, such as 'here', 'now', 'last month' 'I', 'you'. It was introduced by Peirce; Reichenbach called them 'token-reflexive', Russell 'ego-centric particulars'.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.272)
     A reaction: Peirce's terminology seems best. They obviously create great problems for any theory of reference which is rather theoretical and linguistic, such as by the use of descriptions. You can't understand 'Look at that!' without practical awareness.
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
Double effect is the distinction between what is foreseen and what is intended [Mautner]
     Full Idea: The doctrine of double effect is that there is a moral distinction between what is foreseen by an agent as a likely result of an action, and what is intended.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.150)
     A reaction: Abortion for a pregnancy threatening the mother's life. What always intrigues me is the effects which you didn't foresee because you couldn't be bothered to think about them. How much obligation do you have to try to foresee events?
Double effect acts need goodness, unintended evil, good not caused by evil, and outweighing [Mautner]
     Full Idea: It is suggested the double effect act requires 1) the act is good, 2) the bad effect is not intended, and is avoided if possible, 3) the bad effect doesn't cause the good result, 4) the good must outweigh the bad side effect.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.151)
     A reaction: It is suggested that these won't work for permissibility of an action, but they might be appropriate for blameworthiness. Personally I am rather impressed by the four-part framework here, whatever nitpicking objections others may have found.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
'Essentialism' is opposed to existentialism, and claims there is a human nature [Mautner]
     Full Idea: In philosophical anthropology, the view that there is a human nature or essence is called 'essentialism'. It became current in 1946 as a contrast to Sartre's existentialist view.
     From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.179)
     A reaction: Being a fan of Aristotle, I incline towards the older view, but you cannot get away from the fact that the human brain has similarities to a Universal Turing Machine, and diverse cultures produce very different individuals.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
It is not possible for fire to be cold or snow black [Aristotle]
     Full Idea: It is not possible for fire to be cold or snow black.
     From: Aristotle (Categories [c.331 BCE], 12b01)
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Change goes from possession to loss (as in baldness), but not the other way round [Aristotle]
     Full Idea: Change occurs from possession to privation, but from privation to possession is impossible; one who has gone blind does not recover sight nor does a bald man regain his hair nor does a toothless man grow new ones.
     From: Aristotle (Categories [c.331 BCE], 13a35)
     A reaction: Although this seems like an insight into entropy, it isn't an accurate observation, since trees lose their leaves, and then regain them in spring. Maybe somewhere men regrow their hair each spring.