How tarskian is Frege?
Mind 117 (466):427-450 (2008)
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.Author's Profile
DOI
10.1093/mind/fzn042
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Citations of this work
Does Frege Have a Metalinguistic Truth-Predicate in Begriffsschrift?Junyeol Kim - 2021 - Canadian Journal of Philosophy 51 (3):191-203.
Frege’s ‘On the Foundations of Geometry’ and Axiomatic Metatheory.Günther Eder - 2016 - Mind 125 (497):5-40.
Husserl and the Problem of Abstract Objects.George Duke & Peter Woelert - 2016 - Pacific Philosophical Quarterly 97 (1):27-47.
References found in this work
Begriffsschrift.Gottlob Frege - 1967 - In Jean Van Heijenoort (ed.), From Frege to Gödel. Cambridge: Harvard University Press. pp. 1-83.
Gottlob Frege: Collected Papers on Mathematics, Logic, and Philosophy.Brian McGuinness (ed.) - 1984 - Oxford: Blackwell.
From Frege to Wittgenstein: Perspectives on Early Analytic Philosophy.Erich H. Reck (ed.) - 2001 - Oxford University Press.