Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Ray Monk and Saunders MacLane

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
We overvalue whether arguments are valid, and undervalue whether they are interesting [Monk]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
If all beliefs are propositional, then belief and judgement are the same thing [Monk]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
Wittgenstein pared his life down in his search for decency [Monk]