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Conservative Theories of Classical Truth
Authors:Volker Halbach
Affiliation:(1) Department of Philosophy, University of Notre Dame, Notre Dame, IN, 46556, U.S.A.;(2) Universität Konstanz Fachgruppe Philosophie, Postfach 5560, 78434 Konstanz, Germany
Abstract:Some axiomatic theories of truth and related subsystems of second-order arithmetic are surveyed and shown to be conservative over their respective base theory. In particular, it is shown by purely finitistically means that the theory PA ÷ "there is a satisfaction class" and the theory FSuharr of [2] are conservative over PA.
Keywords:truth  satisfaction class  cut elimination
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