Review of Symbolic Logic:1-34 (forthcoming)

Authors
Hartry Field
New York University
Abstract
Nonclassical theories of truth that take truth to be transparent have some obvious advantages over any classical theory of truth. But several authors have recently argued that there’s also a big disadvantage of nonclassical theories as compared to their “external” classical counterparts: proof-theoretic strength. While conceding the relevance of this, the paper argues that there is a natural way to beef up extant internal theories so as to remove their proof-theoretic disadvantage. It is suggested that the resulting internal theories are preferable to their external counterparts.
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DOI 10.1017/s1755020320000167
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References found in this work BETA

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Reflecting on Incompleteness.Solomon Feferman - 1991 - Journal of Symbolic Logic 56 (1):1-49.
What Is So Bad About Contradictions?Graham Priest - 1998 - Journal of Philosophy 95 (8):410-426.
On the Costs of Nonclassical Logic.Volker Halbach & Carlo Nicolai - 2018 - Journal of Philosophical Logic 47 (2):227-257.
Axiomatizing Kripke's Theory of Truth.Volker Halbach & Leon Horsten - 2006 - Journal of Symbolic Logic 71 (2):677 - 712.

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Citations of this work BETA

Paradoxicality Without Paradox.Lucas Rosenblatt - forthcoming - Erkenntnis:1-20.
On the Costs of Classical Logic.Luca Castaldo - forthcoming - Erkenntnis:1-32.

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