Combining Texts

All the ideas for 'reports', 'Hilbert's Programme' and 'The Analyst'

expand these ideas     |    start again     |     specify just one area for these texts

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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 / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18091

Infinitesimals are ghosts of departed quantities [Berkeley]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

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

3016	Even the gods cannot strive against necessity [Pittacus, 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]