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Ideas for 'Thinking About Mathematics', 'The Theory of Communicative Action' and 'Philosophy of Arithmetic'

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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 / 3. Nature of Numbers / l. Zero

9837	0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

9576	Multiplicity in general is just one and one and one, etc. [Husserl]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation

17444

Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]