Combining Texts

All the ideas for 'In Defence of Convention T', 'On Relations of Universals and Particulars' and 'Hilbert's Programme'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
A theory of meaning comes down to translating sentences into Fregean symbolic logic [Davidson, by Macey]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]