Combining Philosophers

All the ideas for Georg Kreisel, David Robb and Paul J. Cohen

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6 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 / 10. Constructivism / a. Constructivism
14248 We could accept the integers as primitive, then use sets to construct the rest [Cohen]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
15391 A substance is, roughly, a basic being or subject at the foundation of reality [Robb]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
15392 If an object survives the loss of a part, complex objects can have autonomy over their parts [Robb]
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]