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Ideas for 'Thinking About Mathematics', 'On Formally Undecidable Propositions' and 'Laches'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

10132

There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman]

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]