Combining Texts

All the ideas for 'On Motion', 'Commentary on 'Posterior Analytics'' and 'Hilbert's Programme'

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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 / b. Need for substance

16629

By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]

27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity

12709

Motion is not absolute, but consists in relation [Leibniz]

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]