Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Is Mathematics purely Linguistic?' 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]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Numbers are just verbal conveniences, which can be analysed away [Russell]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Theories of intentionality presuppose rationality, so can't explain it [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
Beliefs and desires aren't real; they are prediction techniques [Dennett]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]