Combining Philosophers

Ideas for Hesiod, Friedrich Nietzsche and Ian Rumfitt

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

23186

Numbers enable us to manage the world - to the limits of counting [Nietzsche]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

18842

Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

20361

We need 'unities' for reckoning, but that does not mean they exist [Nietzsche]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17462

A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18834

Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]