Combining Texts

All the ideas for 'On the Concept of Number', 'Meaning and Necessity' 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]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics

11968

The intension of a sentence is the set of all possible worlds in which it is true [Carnap, by Kaplan]

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]