Combining Texts

All the ideas for 'works', 'Hilbert's Programme' and 'works'

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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]

16. Persons / F. Free Will / 1. Nature of Free Will

3447	All theory is against free will, and all experience is in favour of it [Johnson,S]

18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines

3193	Turing showed that logical rules can be specified computationally and mechanically [Turing, by Rey]

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]