Combining Texts

Ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Guidebook to Wittgenstein's Tractatus'

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4 ideas

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

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]