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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. |