Combining Texts

All the ideas for 'Hilbert's Programme', 'The Nature of Existence vol.1' and 'On Metaphysics (frags)'

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5 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]

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined

22628

Substance has to exist, with no intrinsic qualities or relations [McTaggart]

26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied

5990	Theophrastus doubted whether nature could be explained teleologically [Theophrastus, by Gottschalk]

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]