The power of naive truth
Review of Symbolic Logic 15 (1):225-258 (2022)
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.Author's Profile
DOI
10.1017/s1755020320000167
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Citations of this work
Nonclassical Truth with Classical Strength. A Proof-Theoretic Analysis of Compositional Truth Over Hype.Martin Fischer, Carlo Nicolai & Pablo Dopico - 2021 - Review of Symbolic Logic:1-24.
Inferential Constants.Camillo Fiore, Federico Pailos & Mariela Rubin - forthcoming - Journal of Philosophical Logic: 1 - 26.
References found in this work
Axiomatizing Kripke’s Theory of Truth.Volker Halbach & Leon Horsten - 2006 - Journal of Symbolic Logic 71 (2):677 - 712.
On the Costs of Nonclassical Logic.Volker Halbach & Carlo Nicolai - 2018 - Journal of Philosophical Logic 47 (2):227-257.