Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Analyticity Reconsidered' and 'Grundlagen (Foundations of Theory of Manifolds)'

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17 ideas

2. Reason / D. Definition / 4. Real Definition
A sentence may simultaneously define a term, and also assert a fact [Boghossian]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Conventionalism agrees with realists that logic has truth values, but not over the source [Boghossian]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
'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
The a priori is explained as analytic to avoid a dubious faculty of intuition [Boghossian]
That logic is a priori because it is analytic resulted from explaining the meaning of logical constants [Boghossian]
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
We may have strong a priori beliefs which we pragmatically drop from our best theory [Boghossian]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
If we learn geometry by intuition, how could this faculty have misled us for so long? [Boghossian]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Theories of intentionality presuppose rationality, so can't explain it [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
Beliefs and desires aren't real; they are prediction techniques [Dennett]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
'Conceptual role semantics' says terms have meaning from sentences and/or inferences [Boghossian]
If meaning depends on conceptual role, what properties are needed to do the job? [Boghossian]
19. Language / A. Nature of Meaning / 8. Synonymy
Could expressions have meaning, without two expressions possibly meaning the same? [Boghossian]
19. Language / E. Analyticity / 2. Analytic Truths
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
Epistemological analyticity: grasp of meaning is justification; metaphysical: truth depends on meaning [Boghossian]