Combining Texts

Ideas for 'Consciousness', 'Review of Tait 'Provenance of Pure Reason'' and 'Universals'

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2 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13418 The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
     Full Idea: The difficulties historically attributed to the axiom of choice are probably better ascribed to the law of excluded middle.
     From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2)
     A reaction: The law of excluded middle was a target for the intuitionists, so presumably the debate went off in that direction.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
6548 Physicalism requires the naturalisation or rejection of set theory [Lycan]
     Full Idea: Eventually set theory will have to be either naturalised or rejected, if a thoroughgoing physicalism is to be maintained.
     From: William Lycan (Consciousness [1987], 8.4)
     A reaction: Personally I regard Platonism as a form of naturalism (though a rather bold and dramatic one). The central issue seems to be the ability of the human main/brain to form 'abstract' notions about the physical world in which it lives.