Combining Philosophers

Ideas for Herodotus, Ullin T. Place and Bernard Linsky

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1 idea

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21705	Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
	Full Idea: The Axiom of Reducibility avoids impredicativity, by asserting that for any predicate of given arguments defined by quantifying over higher-order functions or classes, there is another co-extensive but predicative function of the same type of arguments.
	From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1)
	A reaction: Eventually the axiom seemed too arbitrary, and was dropped. Linsky's book explores it.