Combining Texts

Ideas for 'Thinking About Mathematics', 'Philosophy and Scientific Image of Man' and 'Briefings on Existence'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

12335

Numbers are for measuring and for calculating (and the two must be consistent) [Badiou]

12334

There is no single unified definition of number [Badiou]

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

12333

Each type of number has its own characteristic procedure of introduction [Badiou]

12322

Must we accept numbers as existing when they no longer consist of units? [Badiou]

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 / 5. The Infinite / g. Continuum Hypothesis

12327

The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou]