Combining Philosophers

All the ideas for Augustin-Louis Cauchy, W Kneale / M Kneale and J.O. Urmson

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4 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

13750

Analysis aims at the structure of facts, which are needed to give a rationale to analysis [Urmson, by Schaffer,J]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

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]