Combining Texts

All the ideas for 'Investigations into Logical Deduction', 'Analyticity Reconsidered' and 'The Ways of Paradox'

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21 ideas

2. Reason / D. Definition / 4. Real Definition
9376 A sentence may simultaneously define a term, and also assert a fact [Boghossian]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
21695 The set scheme discredited by paradoxes is actually the most natural one [Quine]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
21693 Russell's antinomy challenged the idea that any condition can produce a set [Quine]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
13832 Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
9375 Conventionalism agrees with realists that logic has truth values, but not over the source [Boghossian]
5. Theory of Logic / L. Paradox / 3. Antinomies
21691 Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
21690 Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
21689 A barber shaves only those who do not shave themselves. So does he shave himself? [Quine]
21694 Membership conditions which involve membership and non-membership are paradoxical [Quine]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
21692 If we write it as '"this sentence is false" is false', there is no paradox [Quine]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
9369 'Snow is white or it isn't' is just true, not made true by stipulation [Boghossian]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
9367 The a priori is explained as analytic to avoid a dubious faculty of intuition [Boghossian]
9373 That logic is a priori because it is analytic resulted from explaining the meaning of logical constants [Boghossian]
9380 We can't hold a sentence true without evidence if we can't agree which sentence is definitive of it [Boghossian]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
9384 We may have strong a priori beliefs which we pragmatically drop from our best theory [Boghossian]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
9374 If we learn geometry by intuition, how could this faculty have misled us for so long? [Boghossian]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
9378 If meaning depends on conceptual role, what properties are needed to do the job? [Boghossian]
9377 'Conceptual role semantics' says terms have meaning from sentences and/or inferences [Boghossian]
19. Language / A. Nature of Meaning / 8. Synonymy
9372 Could expressions have meaning, without two expressions possibly meaning the same? [Boghossian]
19. Language / E. Analyticity / 2. Analytic Truths
17721 There are no truths in virtue of meaning, but there is knowability in virtue of understanding [Boghossian, by Jenkins]
19. Language / E. Analyticity / 3. Analytic and Synthetic
9368 Epistemological analyticity: grasp of meaning is justification; metaphysical: truth depends on meaning [Boghossian]