Combining Texts

All the ideas for 'fragments/reports', 'Hilbert's Programme' and 'Many, but almost one'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
17809 Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17810 The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
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]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / C. Space / 3. Points in Space
17811 The natural conception of points ducks the problem of naming or constructing each point [Kreisel]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]