Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, C.J. Thomae and Georg Kreisel

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5 ideas

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]

14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction

20653

Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]

18. Thought / E. Abstraction / 8. Abstractionism Critique

8638	Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]

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]