Combining Philosophers

All the ideas for Moses Schönfinkel, Arend Heyting and Georg Kreisel

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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]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

8754	Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]

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]