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All the ideas for 'Frege's Concept of Numbers as Objects', 'Commentary on Euclid's 'Elements'' and 'Discourse on the Origin of Inequality'

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81 ideas

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!
2. Reason / A. Nature of Reason / 9. Limits of Reason
Reason leads to prudent selfishness, which overrules natural compassion [Rousseau]
     Full Idea: Reason is what engenders egocentrism ...turns man in upon himself ...and separates him from all that troubles him and afflicts him. Philosophy is what ...moves him to say at the sight of a suffering man 'Perish if you will; I am safe and sound'.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: He goes on to observe that fights in the marketplace are stopped by women, while the philosophers have all run away! This thinking leads to the sentimental movement, and then to romanticism.
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 / 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
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'
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 / 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'?
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'?
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.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
No one would bother to reason, and try to know things, without a desire for enjoyment [Rousseau]
     Full Idea: We seek to know only because we desire to find enjoyment; and it is impossible to conceive why someon who had neither desires nor fears would go to the bother reasoning.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: This appears to be an echo of Hume's pessimism about the autonomy of reason. This downgrading of reason is a striking feature of the Enlightenment, which presumably culminates in the romantic movement.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
     Full Idea: Geometry does not ask 'why?' ..When from the exterior angle equalling two opposite interior angles it is shown that the interior angles make two right angles, this is not a causal demonstration. With no exterior angle they still equal two right angles.
     From: Proclus (Commentary on Euclid's 'Elements' [c.452], p.161-2), quoted by Paolo Mancosu - Explanation in Mathematics §5
     A reaction: A very nice example. It is hard to imagine how one might demonstrate the cause of the angles making two right angles. If you walk, turn left x°, then turn left y°, then turn left z°, and x+y+z=180°, you end up going in the original direction.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
General ideas are purely intellectual; imagining them is immediately particular [Rousseau]
     Full Idea: Every general idea is purely intellectual. The least involvement of the imagination thereupon makes the idea particular.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: This thought is in Berkeley, who seemed to think that general ideas were impossible, because imagination was always required. Rousseau is certainly an improvement on that.
Only words can introduce general ideas into the mind [Rousseau]
     Full Idea: General ideas can be introduced into the mind only with the aid of words.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Hm. How did humanity manage to invent general words. Do animals not have general thoughts, e.g. about food, shelter, predators? Roussea goes on to deny that monkeys see nuts as a 'type' of fruit.
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 / D. Concepts / 5. Concepts and Language / a. Concepts and language
Language may aid thinking, but powerful thought was needed to produce language [Rousseau]
     Full Idea: If men needed speech in order to learn to think, they had a still greater need for knowing how to think in order to discover the art of speaking.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: I take language to be a consequence of the emergence of meta-thought in humanity, so I thoroughly endorse Rousseau's view. The idea that rationality, and even consciousness, are mainly facilitated by language strikes me as quite wrong.
18. Thought / E. Abstraction / 1. Abstract Thought
The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
     Full Idea: It is unsurprising that geometry was discovered in the necessity of Nile land measurement, since everything in the world of generation goes from imperfection to perfection. They would naturally pass from sense-perception to calculation, and so to reason.
     From: Proclus (Commentary on Euclid's 'Elements' [c.452]), quoted by Charles Chihara - A Structural Account of Mathematics 9.12 n55
     A reaction: The last sentence is the core of my view on abstraction, that it proceeds by moving through levels of abstraction, approaching more and more general truths.
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.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Without love, what use is beauty? [Rousseau]
     Full Idea: Where there is no love, what use is beauty?
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Rousseau seems to be thinking of sexual attractiveness, but the aphorism seems to have universal application.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Rational morality is OK for brainy people, but ordinary life can't rely on that [Rousseau]
     Full Idea: Although it might be appropriate for Socrates and minds of his stature to acquire virtue through reason, the human race would long ago have ceased to exist, if its preservation had depended solely on the reasonings of its members.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: He takes our natural compassion to be the basis of morality. Hume combines that with a natural social prudence. Apes live successfully together in groups, without a Socrates. See MacIntyre on the failure of reasoned morality.
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
If we should not mistreat humans, it is mainly because of sentience, not rationality [Rousseau]
     Full Idea: If I am obliged not to do any harm to my fellow man, it is less because he is a rational being than because he is a sentient being.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Pref)
     A reaction: How should sentience and rationality be weighted here? Kant demands instrinsic respect for beings on the grounds of their rationality. What could ever justify doing needless harm to anything? An open goal for virtue theory here.
23. Ethics / B. Contract Ethics / 2. Golden Rule
The better Golden Rule is 'do good for yourself without harming others' [Rousseau]
     Full Idea: Instead of the sublime maxim of reasoned justice 'Do unto others as you would have them do unto you', pity inspires a less perfect but perhaps more useful one: 'Do what is good for you with as little harm as possible to others'.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: His revised maxim is like J.S. Mill's formula for liberalism. The first maxim seems more contractarian, the second more utilitarian.
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
The fact that we weep (e.g. in theatres) shows that we are naturally compassionate [Rousseau]
     Full Idea: Every day one sees in our theatres someone affected and weeping at the ills of some unfortunate person ...Nature, in giving men tears, bears witness that she gave the human race the softest hearts.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Lovely. Of course, tears in infants are for their own misfortunes, but adults more commonly weep over the sufferings of others. But we somewhat laugh at people who easily cry over dramas about suffering.
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans are less distinguished from other animals by understanding, than by being free agents [Rousseau]
     Full Idea: It is not so much understanding which causes the specific distinction of man from all other animals as it is his being a free agent.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: I'm not sure how deep Rousseau takes 'free' to go. Having little enthusiasm for free will, I would say that we are distinguished by the complexity of our decision making. But I attribute that to meta-thought, the mark of humanity.
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
Most human ills are self-inflicted; the simple, solitary, regular natural life is good [Rousseau]
     Full Idea: Most of our ills are of our own making, and we could have avoided nearly all of them by preserving the simple, regular and solitary lifestyle prescribed to us by nature.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: It is important that he is not really disagreeing with Hobbes's pessimistic view of natural life as 'nasty'. Rousseau attributes that to a later stage, when people are ineptly beginning to emerge from the state of nature. I'm an optimist here.
Is language a pre-requisite for society, or might it emerge afterwards? [Rousseau]
     Full Idea: Which was more necessary: an already formed society for the invention of languages, or an already invented language for the establishment of society?
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Rousseau declines to attempt an answer. Ants and bees seem to do well, but have some means of communication. Ape colonies are quite sophisticated.
I doubt whether a savage person ever complains of life, or considers suicide [Rousseau]
     Full Idea: I ask if anyone has ever heard tell of a savage who was living in liberty ever dreaming of complaining about his life and of killing himself.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Rousseau's state of nature is much too remote from any current tribal life for this to be tested. It is a nice speculation. Do apes ever attempt suicide?
Leisure led to envy, inequality, vice and revenge, which we now see in savages [Rousseau]
     Full Idea: People developed leisure pursuits, and wanted esteem, which was the first step towards inequality, and at the same time towards vice. Vanity, contempt, shame and envy were born, and acts of revenge. This is the stage of savage people we know of.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: [very compressed] This is important in understanding Rousseau, because his happier 'state of nature' is prior to what is described here, which is the violent warlike state which impressed Hobbes.
Primitive man was very gentle [Rousseau]
     Full Idea: Nothing is so gentle as man in his primitive state.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: This summarises Rousseau's view of the earliest stage of mankind, when there was little rivalry, and little motivation or opportunity for viciousness.
Our two starting principles are concern for self-interest, and compassion for others [Rousseau]
     Full Idea: One principle prior to reason makes us ardently interested in our well-being and self-preservation; the other inspires a natural repugnance to seeing any sentient being, especially our fellow man, perish or suffer.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Pref)
     A reaction: This is strikingly like Hume's nascent utilitarianism. These two principles are the key to Rousseau's vision of the state of nature, from which the union around a general will leads to the formation of a state. Note that animals get included here.
Savages avoid evil because they are calm, and never think of it (not because they know goodness) [Rousseau]
     Full Idea: We could say that savages are not evil because they do not know what is good; for it is neither enlightenment nor legal restraint, but the calm of the passions and the ignorance of vice which prevents them from doing evil.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Suggests one of my favourite ideas (Idea 519). While his hopes for savages and the state of nature may be optimistic, the idea that you won't do evil if it never crosses your mind (and it won't if you are a calm person) is very powerful.
Savage men quietly pursue desires, without the havoc of modern frenzied imagination [Rousseau]
     Full Idea: Imagination, which wreaks so much havoc among us, does not speak to savage hearts; each man peacefully awaits the impetus of nature, gives himself over to it without choice, and with more pleasure than frenzy; then all desire is snuffed out.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Interesting to identify imagination as a source of trouble. The idea that the savage lacks imagination seems implausible. Better to say that modern imagination has been poisoned by competition.
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
A savage can steal fruit or a home, but there is no means of achieving obedience [Rousseau]
     Full Idea: A savage man could well lay hold of the fruit another has gathered, the cave that served as his shelter. But how will he ever succeed in making himself obeyed? What can be the chain of dependence among men who possess nothing?
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: You'd certainly need language to express an enduring threat, like excluding someone from all of the local caves. You need to be able to say 'I'll be back', which animals can't say. Huge muscular men must have dominated in some way.
24. Political Theory / A. Basis of a State / 3. Natural Values / b. Natural equality
In a state of nature people are much more equal; it is society which increases inequalities [Rousseau]
     Full Idea: There must be much less difference between one man and another in the state of nature than in that of society, and natural inequality must increase in the human species through inequality occasioned by social institutions.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: This is the main idea of his essay - the answer to the question set by the essay prize. Slavery is common in fairly basic societies, but that is at a much more advanced stage than Rousseau is thinking of. It's hard to disagree with him.
It is against nature for children to rule old men, fools to rule the wise, and the rich to hog resources [Rousseau]
     Full Idea: It is obviously contrary to the law of nature, however it is defined, for a child to command an old man, for an imbecile to lead a wise man, and for a handful of people to gorge themselves on superfluities while the starving multitude lack necessities.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: I wonder if gregarious animals ever starve to death during a time of plenty, because of social exclusion? I bet this idea was quoted widely in 1780s Paris. The massive inequality is not just nasty, but 'contrary to the law of nature'.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
People accept the right to be commanded, because they themselves wish to command [Rousseau]
     Full Idea: Citizens allow themselves to be oppressed only insofar as they are driven by blind ambition; ...they consent to wear chains in order to be able to give them in turn to others. It is difficult to reduce to obedience someone who does not wish to command.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: Beautiful. This produces what I call the 'military model of management', where people love tree diagrams showing chains of command, and their place in the hierarchy. Life becomes 'either give orders, or obey'. I like democratic teams.
24. Political Theory / B. Nature of a State / 5. Culture
We seem to have made individual progress since savagery, but actually the species has decayed [Rousseau]
     Full Idea: Evidence confirms that the savage state is the youth of the world, and all subsequent progress has been in appearance so many steps toward the perfection of the individual, and in fact toward the decay of the species.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: This strikes me as an attack on the new rising philosophy of liberalism, and a plea for communitarianism. We should judge humanity as a whole, and not just look at some individual lives which seem to be going well.
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Revolutionaries usually confuse liberty with total freedom, and end up with heavier chains [Rousseau]
     Full Idea: If people try to shake off a yoke, they put more distance between themselves and liberty, because in mistaking for liberty an unbridled licence which is its opposite, their revolutions usually deliver them over to seducers who make their chains heavier.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Intro letter)
     A reaction: This 'Animal Farm' thought was presumably ignored in 1789 and 1917. There must be basic rules for revolutionaries, of which priorities they must never drop from sight, and which priorities are dangerous and misleading.
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
Plebiscites are bad, because they exclude the leaders from crucial decisions [Rousseau]
     Full Idea: I would not approve of plebiscites like those of the Romans where the state's leaders and those most interested in its preservation were excluded from the deliberations on which its safety often depended.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Intro letter)
     A reaction: I wish David Cameron had read this before 2016. This is exactly what happened with the Brexit referendum, where the people voted for an action entirely opposed to the preference of the majority of their elected representatives. Chaos ensued.
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
In a direct democracy, only the leaders should be able to propose new laws [Rousseau]
     Full Idea: In order to stop ...the dangerous innovations that finally ruined Athens, no one would have the power to propose new laws according to his fancy; this right belongs exclusively to the magistrates.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Intro letter)
     A reaction: Aristotle says (somewhere!) that control of the agenda for meetings is the key issue in democracies. I assume any citizen can propose a law, but only a magistrate can put it on the agenda. Maybe a separate 'citizen's committee' could filter suggestions.
25. Social Practice / A. Freedoms / 1. Slavery
Enslaved peoples often boast of their condition, calling it a state of 'peace' [Rousseau]
     Full Idea: Enslaved peoples do nothing but boast of the peace and tranquillity they enjoy in their chains and they give the name 'peace' to the most miserable slavery.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: It seems to be a sad truth that enslaved peoples are less upset about their condition than outside observers are, especially in modern times, where slavery is usually deemed unacceptable. Slavery might be the best you can hope for.
If the child of a slave woman is born a slave, then a man is not born a man [Rousseau]
     Full Idea: The jurists who have gravely pronounced that the child of a slave woman is born a slave, have decided, in other words, that a man is not born a man.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: The hidden premise of this enthymeme is that man is born free. A key issue of liberalism is the status of children. Are the children of religious believers automatically members of that sect? Can I be born a West Ham supporter?
People must be made dependent before they can be enslaved [Rousseau]
     Full Idea: It is impossible to enslave a man without having first put him in the position of being incapable of doing without another.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: Ah yes. The key to running a slave plantation is not the threat of violence, but control of the shelter and food supply.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Like rich food, liberty can ruin people who are too weak to cope with it [Rousseau]
     Full Idea: Liberty is like those solid foods or full-bodied wines appropriate for strengthening robust constitutions that are used to them, but which overpower, ruin and intoxicate the weak and delicate who are not suited to them.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Intro letter)
     A reaction: Rousseau vision of a successful society involves robustly self-sufficient citizens (as in the American ideal), rather than people who are free, but easily led into dependence (in a 'nanny state').
25. Social Practice / B. Equalities / 1. Grounds of equality
Three stages of the state produce inequalities of wealth, power, and enslavement [Rousseau]
     Full Idea: Stage one gives law and property (producing inequalities of rich and poor), stage two gives a magistracy (producing weak and strong), and stage three is legitimate power becoming arbitrary (producing master and slave).
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: This is the final answer to the prize essay question (with Idea 19772). What a beautiful analysis - and he didn't even win the prize this time!
25. Social Practice / B. Equalities / 4. Economic equality
The pleasure of wealth and power is largely seeing others deprived of them [Rousseau]
     Full Idea: If one sees a handful of powerful and rich men at the height of greatness and fortune while the mob grovels in obscurity and misery, it is because the former prize the things they enjoy only to the extent that the others are deprived of them.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: This seems to be an accurate picture of ancien régime France, and it still applies to modern plutocrats. The pleasure of a nice house is not that it is very good, but that it is better than other houses. Inequality gives a lot of pleasure!
25. Social Practice / C. Rights / 4. Property rights
Persuading other people that some land was 'owned' was the beginning of society [Rousseau]
     Full Idea: The first person who, having enclosed a plot of land, took it into his head to say 'this is mine' and found people simple enough to believe him, was the true founder of civil society.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: A wonderful riposte to Locke, who thought political legitimacy was based on property! Locke is way too simplistic about whether someone has a true right to their property. Highy dubious claims become ossified after a generation or two.
What else could property arise from, but the labour people add to it? [Rousseau]
     Full Idea: It is impossible to conceive of the idea of property arising from anything but manual labour, for it is not clear what man can add, beyond his own labour, in order to appropriate things he has not made.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: A thorough endorsement of Locke's labour theory of value. It is not clear to me why you have to 'add' something in order to achieve ownership. Don't you own firewood just by picking it up? Golfers give ownership of a lost ball to the first one to see it.
Land cultivation led to a general right of ownership, administered justly [Rousseau]
     Full Idea: From the cultivation of land, there necessarily followed the division of land; and from property once recognised, the first rules of justice. For in order to render everyone what is his, it is necessary that everyone can have something.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: This looks rather obviously correct. You don't plant crops if you are not protected in your right to reap what you have sown, and you would expect to re-sow from the proceeds. Other people will want you to do this.
If we have a natural right to property, what exactly does 'belonging to' mean? [Rousseau]
     Full Idea: Others have spoken of the natural right that everyone has to preserve what belongs to him, without explaining what they mean by 'belonging'.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Pref)
     A reaction: This is aimed at Locke. What Marxists will challenge is the legitimacy of property ownership, granted by patronage, enclosure, exploitation and conquest. These start as injustices, but that fades after a few generations. Locke has a labour-theory.
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Writers just propose natural law as the likely useful agreements among people [Rousseau]
     Full Idea: Writers begin by seeking the rules on which, for the common utility, it would be appropriate for men to agree among themselves; they then give the name of 'natural law' to these rules, with no other proof than their presumed good results.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Pref)
     A reaction: The arguments for natural law strike me as quite good, but pinning down its content looks incredibly elusive, and at the mercy of cultural influences.
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Primitive people simply redressed the evil caused by violence, without thought of punishing [Rousseau]
     Full Idea: More primitive men regarded the acts of violence that could befall them as an easily redressed evil and not as an offence that must be punished; they did not even dream of vengeance, except as a knee-jerk response.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: This may be Rousseau at his most optimistic, trying to deny a rather more aggressive streak in people, seen in children's playgrounds.
25. Social Practice / E. Policies / 1. War / e. Peace
A state of war remains after a conquest, if the losers don't accept the winners [Rousseau]
     Full Idea: The conqueror and conquered peoples always remain in a state of war with one another, unless the nation, returned to full liberty, were to choose voluntarily its conqueror as leader.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part II)
     A reaction: Tricky if part of the conquered nation accepts the conqueror, and the other part doesn't, as in France in 1940. In a permanent conquest the state of war seems to fade away, as in England in 1066.
25. Social Practice / F. Life Issues / 6. Animal Rights
Both men and animals are sentient, which should give the latter the right not to be mistreated [Rousseau]
     Full Idea: Since being sentient is common to both animals and men, that should at least give the former the right not to be needlessly mistreated by the latter.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Pref)
     A reaction: This is why utilitarianism led to the founding of the RSPCA in Britain. There is a disturbing picture of people smashing up animals for fun, if they can only persuade themselves that the animals are not sentient. I've heard fishermen claim that.
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Men started with too few particular names, but later had too few natural kind names [Rousseau]
     Full Idea: Men at first unduly multiplied the names of individual things, owing to their failure to know the genera and species, but later made too few genera and species, owing to their failure to have considered beings in all their differences.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: The fact that two leopards differ is not a good enough reason to assign them to two different general terms. Adjectives can do all the necessary modification. The single general term acknowledges something important.
27. Natural Reality / G. Biology / 3. Evolution
Small uninterrupted causes can have big effects [Rousseau]
     Full Idea: Negligible causes may have surprising power when they act without interruption.
     From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I)
     A reaction: A wonderfully simple observation that is a key idea of the theory of evolution. If life was created 6,000 years ago, evolution is impossible. If it appeared 500,000,000 years ago, how could evolution NOT occur? Little changes must occur.