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Ideas for 'Thinking About Mathematics', 'Consciousness, Philosophy and Mathematics' and 'Guidebook to Wittgenstein's Tractatus'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

8763	The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18249

Cauchy gave a formal definition of a converging sequence. [Shapiro]

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

23452

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

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]