Combining Texts

All the ideas for 'fragments/reports', 'talk' and 'works'

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3 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

13536	Skolem did not believe in the existence of uncountable sets [Skolem]
	Full Idea: Skolem did not believe in the existence of uncountable sets.
	From: Thoralf Skolem (works [1920], 5.3)
	A reaction: Kit Fine refers somewhere to 'unrepentent Skolemites' who still hold this view.

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

9916	Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
	Full Idea: Poincaré once exclaimed, 'Convention, yes! Arbitrary, no!'.
	From: report of Henri Poincaré (talk [1901]) by Hilary Putnam - Models and Reality
	A reaction: An interesting view. It mustn't be assumed that conventions are not rooted in something. Maybe a sort of pragmatism is implied.

10. Modality / A. Necessity / 8. Transcendental Necessity

490	Everything happens by reason and necessity [Leucippus]
	Full Idea: Nothing happens at random; everything happens out of reason and by necessity.
	From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where?