Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Hilbert's Programme' and 'Letters to Jacques Lenfant'

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5 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]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
The most primitive thing in substances is force, which leads to their actions and dispositions [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
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
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]