Combining Texts

All the ideas for 'Many, but almost one', 'On the Concept of Number' and 'Epistemic Justification'

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7 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic

15538

Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail

15537

If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

15536

We have one cloud, but many possible boundaries and aggregates for it [Lewis]

13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism

19679

'Access' internalism says responsibility needs access; weaker 'mentalism' needs mental justification [Kvanvig]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism

19678

Strong foundationalism needs strict inferences; weak version has induction, explanation, probability [Kvanvig]

19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity

15539

Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]