Combining Texts

Ideas for 'Categories', 'Platonistic Theories of Universals' and 'Proof that every set can be well-ordered'

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3 ideas

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

11044

One is prior to two, because its existence is implied by two [Aristotle]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

11042

Parts of a line join at a point, so it is continuous [Aristotle]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]