Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Hilbert's Programme' and 'Building Blocks of Mathematical Logic'

expand these ideas     |    start again     |     specify just one area for these texts

---

5 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

17699

Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]

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]

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined

19347

Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]

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]