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Ideas for 'The Middle Works (15 vols, ed Boydston)', 'Hilbert's Programme' and 'Nominalism and Substitutional Quantifiers'

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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]