How tarskian is Frege?

Mind 117 (466):427-450 (2008)
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Abstract

I argued that Frege does not have a metatheory in the following sense: the justifications he offers for his basic laws and rules of inference neither employ nor require a truth-predicate or metalinguistic variables. In ‘Does Frege Use a Truth-predicate in his "Justification" of the Laws of Logic?’, Dirk Greimann disputes this. As Greimann interprets Frege, (i) Frege's remarks commit him to giving a metatheoretic justification of the basic laws and rules of his logic, and (ii) Frege actually gives such a justification in the early sections of Grundgesetze—although the truth-predicate that Frege employs is a non-standard one: it is neither a predicate that holds of all and only true sentences nor a predicate that holds of all and only true thoughts. I argue that Greimann's interpretation is not, in the end, true to the text, and that his non-standard view of what is required of a Tarskian truth-predicate is ultimately not viable.

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Joan Weiner
Indiana University, Bloomington

Citations of this work

Does Frege Have a Metalinguistic Truth-Predicate in Begriffsschrift?Junyeol Kim - 2021 - Canadian Journal of Philosophy 51 (3):191-203.
Husserl and the Problem of Abstract Objects.George Duke & Peter Woelert - 2016 - Pacific Philosophical Quarterly 97 (1):27-47.

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References found in this work

Funktion und Begriff.Gottlob Frege - 1891 - Jena: Hermann Pohle.
Begriffsschrift.Gottlob Frege - 1967 - In Jean Van Heijenoort (ed.), From Frege to Gödel. Cambridge: Harvard University Press. pp. 1-83.
Nachgelassene Schriften.Gotlob Frege - 1970 - Synthese 21 (3):488-493.

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