Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'A Problem about Substitutional Quantification?' and 'Hilbert's Programme'

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

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5 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10792

The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]

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]