On the Substitutional Characterization of First-Order Logical Truth

History and Philosophy of Logic 25 (3):205-224 (2004)
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Abstract

I consider the well-known criticism of Quine's characterization of first-order logical truth that it expands the class of logical truths beyond what is sanctioned by the model-theoretic account. Briefly, I argue that at best the criticism is shallow and can be answered with slight alterations in Quine's account. At worse the criticism is defective because, in part, it is based on a misrepresentation of Quine. This serves not only to clarify Quine's position, but also to crystallize what is and what is not at issue in choosing the model-theoretic account of first-order logical truth over one in terms of substitutions. I conclude by highlighting the need for justifying the belief that the definition of first-order logical truth in terms of models is superior to its definition in terms of substitutions

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Matthew W. McKeon
Michigan State University

Citations of this work

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Formal Notes on the Substitutional Analysis of Logical Consequence.Volker Halbach - 2020 - Notre Dame Journal of Formal Logic 61 (2):317-339.
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References found in this work

S.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 1995-2243.
P.Peter Gratton & Marie-Eve Morin - 2015 - In Marie-Eve Morin & Peter Gratton, The Nancy Dictionary. Edinburgh: Edinburgh University Press. pp. 174-192.
P.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 1728-1868.
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Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.

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