Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Paul J. Cohen and Leopold Kronecker

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4 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

12427

All of mathematics is properties of the whole numbers [Kronecker]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

10091

God made the integers, all the rest is the work of man [Kronecker]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

14248

We could accept the integers as primitive, then use sets to construct the rest [Cohen]

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]