Combining Texts

All the ideas for 'fragments/reports', 'Two Dogmas of Empiricism' and 'On Formally Undecidable Propositions'

unexpand these ideas     |    start again     |     specify just one area for these texts


48 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Any statement can be held true if we make enough adjustment to the rest of the system [Quine]
     Full Idea: Any statement can be held true come what may, if we make drastic enough adjustments elsewhere in the system.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.43)
2. Reason / D. Definition / 1. Definitions
Definition rests on synonymy, rather than explaining it [Quine]
     Full Idea: Definition rests on synonymy, rather than explaining it.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.26)
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine]
     Full Idea: Gödel's proof wrought an abrupt turn in the philosophy of mathematics. We had supposed that truth, in mathematics, consisted in provability.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Willard Quine - Forward to Gödel's Unpublished
     A reaction: This explains the crisis in the early 1930s, which Tarski's theory appeared to solve.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M]
     Full Idea: Gödel's incompleteness results of 1931 show that all axiom systems precise enough to satisfy Hilbert's conception are necessarily incomplete.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Michael Hallett - Introduction to Zermelo's 1930 paper p.1215
     A reaction: [Hallett italicises 'necessarily'] Hilbert axioms have to be recursive - that is, everything in the system must track back to them.
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
Quine's arguments fail because he naively conflates names with descriptions [Fine,K on Quine]
     Full Idea: Quine's logical argument against modality presupposes a naďve view of singular terms under which no significant distinction is to be drawn between the use of names and descriptions.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Kit Fine - Intro to 'Modality and Tense' p. 6
     A reaction: See Idea 9201 for Quine's argument. The question is whether '9' and 'the number of planets' are names or descriptions. The 'number of planets' is not remotely descriptive of 9, so it must be referential. So '9' is a name? Hm.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner]
     Full Idea: The inherent limitations of the axiomatic method were first brought to light by the incompleteness theorems.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Koellner - On the Question of Absolute Undecidability 1.1
5. Theory of Logic / K. Features of Logics / 2. Consistency
Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P]
     Full Idea: Second Incompleteness Theorem: roughly, nice theories that include enough basic arithmetic can't prove their own consistency.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.5
     A reaction: On the face of it, this sounds less surprising than the First Theorem. Philosophers have often noticed that it seems unlikely that you could use reason to prove reason, as when Descartes just relies on 'clear and distinct ideas'.
5. Theory of Logic / K. Features of Logics / 3. Soundness
If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh]
     Full Idea: Gödel showed PA cannot be proved consistent from with PA. But 'reflection principles' can be added, which are axioms partially expressing the soundness of PA, by asserting what is provable. A Global Reflection Principle asserts full soundness.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Halbach,V/Leigh,G.E. - Axiomatic Theories of Truth (2013 ver) 1.2
     A reaction: The authors point out that this needs a truth predicate within the language, so disquotational truth won't do, and there is a motivation for an axiomatic theory of truth.
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
The undecidable sentence can be decided at a 'higher' level in the system [Gödel]
     Full Idea: My undecidable arithmetical sentence ...is not at all absolutely undecidable; rather, one can always pass to 'higher' systems in which the sentence in question is decidable.
     From: Kurt Gödel (On Formally Undecidable Propositions [1931]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.1
     A reaction: [a 1931 MS] He says the reals are 'higher' than the naturals, and the axioms of set theory are higher still. The addition of a truth predicate is part of what makes the sentence become decidable.
Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel]
     Full Idea: Where Gödel's First Theorem sabotages logicist ambitions, the Second Theorem sabotages Hilbert's Programme.
     From: comment on Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 36
     A reaction: Neo-logicism (Crispin Wright etc.) has a strategy for evading the First Theorem.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman]
     Full Idea: Gödel's far-reaching work on the nature of logic and formal systems reveals that there can be no single consistent theory from which all mathematical truths can be derived.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.8
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P]
     Full Idea: First Incompleteness Theorem: any properly axiomatised and consistent theory of basic arithmetic must remain incomplete, whatever our efforts to complete it by throwing further axioms into the mix.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.2
     A reaction: This is because it is always possible to formulate a well-formed sentence which is not provable within the theory.
Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey]
     Full Idea: Gödel's theorem states that either arithmetic is incomplete, or it is inconsistent.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.7
Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman]
     Full Idea: The vast continent of arithmetical truth cannot be brought into systematic order by laying down a fixed set of axioms and rules of inference from which every true mathematical statement can be formally derived. For some this was a shocking revelation.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by E Nagel / JR Newman - Gödel's Proof VII.C
     A reaction: Good news for philosophy, I'd say. The truth cannot be worked out by mechanical procedures, so it needs the subtle and intuitive intelligence of your proper philosopher (Parmenides is the role model) to actually understand reality.
Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna]
     Full Idea: Gödel's Second Incompleteness Theorem says that true unprovable sentences are clearly semantic consequences of the axioms in the sense that they are necessarily true if the axioms are true. So semantic consequence outruns provability.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Robert Hanna - Rationality and Logic 5.3
First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman]
     Full Idea: First Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S is syntactically incomplete.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6
     A reaction: Gödel found a single sentence, effectively saying 'I am unprovable in S', which is neither provable nor refutable in S.
Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman]
     Full Idea: Second Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S cannot prove its own consistency
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6
     A reaction: This seems much less surprising than the First Theorem (though it derives from it). It was always kind of obvious that you couldn't use reason to prove that reason works (see, for example, the Cartesian Circle).
There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P]
     Full Idea: The original Gödel construction gives us a sentence that a theory shows is true if and only if it satisfies the condition of being unprovable-in-that-theory.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 20.5
'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg]
     Full Idea: An approximation of Gödel's Theorem imagines a statement 'This system of mathematics can't prove this statement true'. If the system proves the statement, then it can't prove it. If the statement can't prove the statement, clearly it still can't prove it.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15
     A reaction: Gödel's contribution to this simple idea seems to be a demonstration that formal arithmetic is capable of expressing such a statement.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Quine blurs the difference between knowledge of arithmetic and of physics [Jenkins on Quine]
     Full Idea: Quine cannot deal with the intuition that there is a difference in kind between our knowledge of arithmetic and our knowledge of physics.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Carrie Jenkins - Grounding Concepts 7.5
     A reaction: The endorses this criticism, which she says is widespread. I'm not convinced that there is a clear notion of 'difference in kind' here. Jenkins gets arithmetic from concepts and physics from the world. Is that a sharp distinction?
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro]
     Full Idea: Gödel defended impredicative definitions on grounds of ontological realism. From that perspective, an impredicative definition is a description of an existing entity with reference to other existing entities.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Stewart Shapiro - Thinking About Mathematics 5.3
     A reaction: This is why constructivists must be absolutely precise about definition, where realists only have to do their best. Compare building a car with painting a landscape.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Quine is hopeless circular, deriving ontology from what is literal, and 'literal' from good ontology [Yablo on Quine]
     Full Idea: Quine's advice is to countenance numbers iff the literal part of our theory quantifies over them; and to count the part of our theory that quantifies over numbers literal iff there turn out really to be numbers.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Stephen Yablo - Does Ontology Rest on a Mistake? XIII
     A reaction: This sounds a bit devastating. Presumably it is indeed the choice of a best theory which results in the ontological commitment, so it is not much help to then read off the ontology from the theory.
9. Objects / A. Existence of Objects / 1. Physical Objects
If physical objects are a myth, they are useful for making sense of experience [Quine]
     Full Idea: The myth of physical objects is epistemologically superior to most in that it has proved more efficacious than other myths as a device for working a manageable structure into the flux of experience.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.44)
9. Objects / D. Essence of Objects / 15. Against Essentialism
Aristotelian essence of the object has become the modern essence of meaning [Quine]
     Full Idea: The Aristotelian notion of essence was the forerunner of the modern notion of intension or meaning. ...Meaning is what essence becomes when it is divorced from the object of reference and wedded to the word.
     From: Willard Quine (Two Dogmas of Empiricism [1953], §1)
     A reaction: Quine first wants to jettison de re necessity (essence of the object), by shifting it to de dicto necessity (necessity in meaning), but he subsequently rejects that as well, presumably because he doesn't even believe in meanings.
10. Modality / A. Necessity / 6. Logical Necessity
Contrary to some claims, Quine does not deny logical necessity [Quine, by McFetridge]
     Full Idea: Nothing in Quine's argument seems to be said directly against the view that the propositions of logic are necessary truths, ..though Crispin Wright has represented him as saying this at the end of 'Two Dogmas'.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Ian McFetridge - Logical Necessity: Some Issues §3
     A reaction: Quine famously denies that logical truths are merely a matter of convention, so the question is, if he believes in logical necessity, what does he think is the basis of it? Answers, as always, on a postcard.
10. Modality / A. Necessity / 11. Denial of Necessity
Quine's attack on the analytic-synthetic distinction undermined necessary truths [Quine, by Shoemaker]
     Full Idea: Quine's attack on the analytic-synthetic distinction sought to contract, if not to empty, the class of truths that are called necessary.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Sydney Shoemaker - Causal and Metaphysical Necessity I
     A reaction: The thought was that absolutely everything, including, for example, basic logic, became potentially revisable. See the last section of Quine's paper.
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Metaphysical analyticity (and linguistic necessity) are hopeless, but epistemic analyticity is a priori [Boghossian on Quine]
     Full Idea: Quine showed the vacuity of the metaphysical concept of analyticity and the futility of the underwritten project - the linguistic theory of necessity. But that doesn't effect the epistemic notion of analyticity needed for a priori knowledge.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Paul Boghossian - Analyticity Reconsidered Concl
     A reaction: This summarise Boghossian's view, that a priori knowledge is still analytic, once we get clear about analyticity. See Idea 9368 for his two types of analyticity. Horwich attacks the view.
Quine challenges the claim that analytic truths are knowable a priori [Quine, by Kitcher]
     Full Idea: The last section of Quine's article challenges the claim that analytic truths are knowable a priori.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Philip Kitcher - The Nature of Mathematical Knowledge 04.5
     A reaction: That is, Quine does not deny that there are truths which rest entirely on meaning. It is a 'dogma of empiricism' that the a priori can be equated with the analytic (and the necessary).
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Quine's objections to a priori knowledge only work in the domain of science [Horwich on Quine]
     Full Idea: Quine's arguments provide no reason to doubt the existence of a priori knowledge outside the domain of science.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Paul Horwich - Stipulation, Meaning and Apriority §10
     A reaction: This rather ignores Quine's background view of thoroughgoing physicalism, so that the domain of science is the domain of nature, which is the domain of everything. See his naturalising of epistemology, for example. Maths is part of his science.
Science is empirical, simple and conservative; any belief can hence be abandoned; so no a priori [Quine, by Horwich]
     Full Idea: Quine says scientific beliefs follow empirical adequacy, simplicity and conservatism; science and rationality support this view; hence any hypothesis can be abandoned to increase simplicity; so no scientific belief is a priori.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Paul Horwich - Stipulation, Meaning and Apriority §10
     A reaction: [Compressed] I just don't accept this claim. If science wants to drop simple arithmetic or the laws of thought, so much the worse for science - they've obviously taken a wrong turning somewhere. We must try to infer God's logic.
Logic, arithmetic and geometry are revisable and a posteriori; quantum logic could be right [Horwich on Quine]
     Full Idea: I think logic, arithmetic and geometry are subject to Quine's empirical revisability argument: quantum logic may turn out to be the best overall theory; so these things are justified a posteriori.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Paul Horwich - Stipulation, Meaning and Apriority §11
     A reaction: Not much of an argument, because 'quantum logic' may also turn out to be a will-o'-the-whisp. Until it is established (which I doubt, because quantum theory is so poorly understood), I think we should be highly suspicious of the Quinean view.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism makes a basic distinction between truths based or not based on facts [Quine]
     Full Idea: One dogma of empiricism is that there is some fundamental cleavage between truths that are analytic, or grounded in meanings independently of facts, and truths which are synthetic, or grounded in fact.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.20)
Our outer beliefs must match experience, and our inner ones must be simple [Quine]
     Full Idea: The outer edge of our empirical system must be kept squared with experience; the rest, with all its elaborate myths and fictions, has as its objective the simplicity of laws.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.45)
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The second dogma is linking every statement to some determinate observations [Quine, by Yablo]
     Full Idea: Quine's second dogma of empiricism is the reductionism that finds every statement to be linkable by fixed correspondence rules to a determinate range of confirming observations.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Stephen Yablo - Does Ontology Rest on a Mistake? V
     A reaction: Quine's response to this is to embrace holism about theories, instead of precise connections with Humean impressions. I'm thinking that Lewis disagrees with Quine, when his Humean supervenience rests on a 'mosaic' of small qualities.
14. Science / B. Scientific Theories / 6. Theory Holism
Statements about the external world face the tribunal of sense experience as a corporate body [Quine]
     Full Idea: My suggestion, following Carnap, is that our statements about the external world face the tribunal of sense experience not individually but only as a corporate body.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.41)
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Basic logic can be done by syntax, with no semantics [Gödel, by Rey]
     Full Idea: Gödel in his completeness theorem for first-order logic showed that a certain set of syntactically specifiable rules was adequate to capture all first-order valid arguments. No semantics (e.g. reference, truth, validity) was necessary.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.2
     A reaction: This implies that a logic machine is possible, but we shouldn't raise our hopes for proper rationality. Validity can be shown for purely algebraic arguments, but rationality requires truth as well as validity, and that needs propositions and semantics.
19. Language / A. Nature of Meaning / 1. Meaning
It is troublesome nonsense to split statements into a linguistic and a factual component [Quine]
     Full Idea: My present suggestion is that it is nonsense, and the root of much nonsense, to speak of a linguistic component and a factual component in the truth of any individual statement.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.42)
     A reaction: I take the language and its subject matter to be obviously separate, but it is right that we can't separate these two components within a sample of language.
19. Language / A. Nature of Meaning / 8. Synonymy
'Renate' and 'cordate' have identical extensions, but are not synonymous [Quine, by Miller,A]
     Full Idea: It is easy to see that intersubstitutability salva veritate is not a sufficient condition for synonymy. 'Renate' (with kidney) and 'cordate' (with heart) can be substituted in a purely extensional language, but are plainly not synonymous.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Alexander Miller - Philosophy of Language 4.2
     A reaction: This seems to be a key example (along with Hesperus, and many others) in mapping out synonymy, meaning, analyticity, sense, reference, extension, intension, and all that stuff.
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Once meaning and reference are separated, meaning ceases to seem important [Quine]
     Full Idea: Once theory of meaning and of reference are separated it is a short step to recognising as the primary business of theory of meaning simply the synonymy of linguistic forms and analyticity of statements; meanings themselves may be abandoned.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.22)
     A reaction: I can't buy the abandonment of meaning, because when I introspect my own speech there is clearly what I want to say formulating in my mind before the words are settled.
19. Language / E. Analyticity / 1. Analytic Propositions
Analytic statements are either logical truths (all reinterpretations) or they depend on synonymy [Quine]
     Full Idea: Analytic statements fall into two classes: 'no unmarried man is married' typifies the first class, of logical truths; it remains true under all reinterpretations. 'No bachelor is married' is analytic if synonyms replace synonyms, and there's the problem.
     From: Willard Quine (Two Dogmas of Empiricism [1953], §1)
     A reaction: Boghossian emphasises this passage. In other papers Quine argues that logical truths also cannot be purely analytic, although he does not deny that there are logical truths.
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Erasing the analytic/synthetic distinction got rid of meanings, and saved philosophy of language [Davidson on Quine]
     Full Idea: Erasing the line between the analytic and the synthetic saved philosophy of language as a serious subject by showing how it could be pursued without what there cannot be: determinate meanings.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Donald Davidson - Coherence Theory of Truth and Knowledge p.158
     A reaction: Note that this comes from the most famous modern champion of one of the main theories of meaning (as truth-conditions). Did anyone ever believe in reified objects called 'meanings'?
The analytic needs excessively small units of meaning and empirical confirmation [Quine, by Jenkins]
     Full Idea: Quine rejects the analytic on the grounds that it assumes a smaller unit of meaning than a total theory, and he does not think it makes sense to talk about such smaller units of meaning because there are no smaller units of empirical confirmation.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Carrie Jenkins - Grounding Concepts 7.5
     A reaction: A very helpful account of the famous Quine argument, showing how it arises out of his particular holistic view of empiricism.
Did someone ever actually define 'bachelor' as 'unmarried man'? [Quine]
     Full Idea: How do we find that 'bachelor' is defined as unmarried man? Who defined it thus, and when? Not the lexicographer, who is a scientist recording antecedent facts.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.24)
     A reaction: All mid-20th C philosophy of language is too individualistic in its strategy. Eventually later Wittgenstein sank in, and socially agreed meanings for 'water' and 'elm'.
If we try to define analyticity by synonymy, that leads back to analyticity [Quine]
     Full Idea: In defining analyticity an appeal to meanings seems natural, but that reduces to synonymy or definition. Definition is a will-o'-the-wisp, and synonymy is best understood by a priori appeal to analyticity, so we are back at the problem of analyticity.
     From: Willard Quine (Two Dogmas of Empiricism [1953], p.32)
     A reaction: Quine is full of these over-neat sceptical arguments, saying everything is circular, or can never get started. Compare Aristotle's benign circle of virtuous people and virtuous actions.
Quine's attack on analyticity undermined linguistic views of necessity, and analytic views of the a priori [Quine, by Boghossian]
     Full Idea: Quine's attack on analyticity devastated the philosophical programs that depend upon a notion of analyticity - specifically, the linguistic theory of necessary truth, and the analytic theory of a priori knowledge.
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Paul Boghossian - Analyticity Reconsidered §I
     A reaction: Note that much more would be needed to complete Quine's aim of more or less eliminating both necessity and the a priori from his scientific philosophy. Quine was trying to complete a programme initiated by C.I. Lewis (q.v.).
Quine attacks the Fregean idea that we can define analyticity through synonyous substitution [Quine, by Thomasson]
     Full Idea: Quine's attack argues against the Fregean attempt to define 'analyticity' in terms of synonymy - where analytical truths are logical truths ('unmarried men are unmarried'), or become logical truths by synonymous replacement ('bachelors are unmarried').
     From: report of Willard Quine (Two Dogmas of Empiricism [1953]) by Amie L. Thomasson - Ordinary Objects 02.1
     A reaction: This is a very helpful explanation of what is going on in Quine. Why won't philosophers explain clearly what they are attacking, before they attack it?
The last two parts of 'Two Dogmas' are much the best [Miller,A on Quine]
     Full Idea: The arguments of the final two sections of 'Two Dogmas' have received more acceptance than the arguments of the first four sections, which are now generally acknowledged to be unsuccessful.
     From: comment on Willard Quine (Two Dogmas of Empiricism [1953]) by Alexander Miller - Philosophy of Language 4 Read
     A reaction: The early sections are the 'circular' argument against analyticity; the later parts are further discussions of the concept. We don't have to take Miller's word for this, but it is a useful pointer when reading the paper.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?