Conservative Theories of Classical Truth |
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Authors: | Volker Halbach |
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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 |
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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 FS of [2] are conservative over PA. |
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Keywords: | truth satisfaction class cut elimination |
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