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Ideas for 'Thinking About Mathematics', 'Mathematics: Form and Function' and 'The Tarskian Turn'

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3 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 / g. Real numbers

15364

English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten]

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]