Combining Texts

All the ideas for 'reports', 'New Foundations for Mathematical Logic' and 'Philosophical Insignificance of A Priori Knowledge'

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7 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

13407

All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

9879	NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

13409

Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]

10. Modality / A. Necessity / 8. Transcendental Necessity

3016	Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]

12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts

13406

A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau]

12. Knowledge Sources / E. Direct Knowledge / 2. Intuition

13408

Intuition and thought-experiments embody substantial information about the world [Papineau]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

13410

Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau]