Combining Philosophers

Ideas for Paul Bernays, Augustin-Louis Cauchy and Leon Horsten

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3 ideas

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 / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]