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Does Frege Have a Metalinguistic Truth-Predicate in Begriffsschrift?

Published online by Cambridge University Press:  27 April 2021

Junyeol Kim Open the ORCID record for Junyeol Kim [Opens in a new window]
Junyeol Kim*
Affiliation:
College of General Education, Kookmin University, Seongbuk-gu, Seoul, ROK
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Email: [email protected]
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Abstract

In the explanations of logical laws and inference rules of the mature version of Begriffsschrift in Grundgesetze, Frege uses the predicate “… is the True.” Scholars like Greimann maintain that this predicate is a metalinguistic truth-predicate for Frege. This paper examines an argument for this claim that is based on the “nominal reading” of Frege’s conception of sentences—the claim that for Frege a sentence “$ p $” is equivalent to a nonsentential phrase like “the truth-value of the thought that $ p $.” In particular, this paper attempts to establish two points concerning this argument based on the nominal reading. First, the argument implies a claim about the nature of assertion which Frege repeatedly denies in his mature works. Secondly, the nominal reading on which the argument depends is false. A sentence “$ p $” is not equivalent to a nonsentential phrase like “the truth-value of the thought that $ p $” for Frege. Our discussion will lead to an important lesson about Frege’s conception of sentences and of assertion.

Keywords

Gottlob Fregetruth-predicateBegriffsschriftassertionsentence
Type
Article
Information
Canadian Journal of Philosophy , Volume 51 , Issue 3 , April 2021 , pp. 191 - 203
Copyright
© The Author(s), 2021. Published by Canadian Journal of Philosophy

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