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First-Order Frege Theory is Undecidable
Authors:Goldfarb  Warren
Institution:(1) Department of Philosophy, Harvard University, Emerson Hall 208, Cambridge, MA, 02138, U.S.A
Abstract:The system whose only predicate is identity, whose only nonlogical vocabulary is the abstraction operator, and whose axioms are all first-order instances of Frege's Axiom V is shown to be undecidable.
Keywords:decidability  Frege  extensions
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