Combining Philosophers

All the ideas for Anaxarchus, Jeffrey H. Sicha and Timothy Smiley

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

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

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

11. Knowledge Aims / A. Knowledge / 2. Understanding

18810

Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

3061	Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]