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Ideas for 'Thinking About Mathematics', 'Mental Content' and 'The Boundary Stones of Thought'

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4 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 / e. Ordinal numbers

18842

Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]

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 / 5. The Infinite / k. Infinitesimals

18834

Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]