Four puzzling paragraphs: Frege on ‘≡’ and ‘=’

Semiotica 2021 (240):75-95 (2021)
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Abstract

In §8 of his Begriffsschrift (1879), Gottlob Frege discusses issues related to identity. Frege begins his most famous essay, “On Sense and Denotation” (1892), published 13 years later, by criticizing the view advocated in §8. He returns to these issues in the concluding paragraph. Controversies continue over these important passages. We offer an interpretation and discuss some alternatives. We defend that in the Begriffsschrift, Frege does not hold that identity is a relation between signs. §8 of the Begriffsschrift is motivated by the conflict between two different criteria for sameness of conceptual content of sentences. To resolve that conflict, Frege introduces ‘≡’ in §8 and, thus, circumstances with names as constituents. To the same end, in “On Sense and Denotation,” Frege introduces senses and Thoughts and abandons both ‘≡’ and circumstances. He solves what we call the Co-instantiation problem, and disregards, but does not solve, the Name problem.

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Author Profiles

John Perry
University of California, Riverside
Kepa Korta
University of Basque Country
Maria De Ponte Azkarate
University of the Basque Country

References found in this work

The Frege reader.Gottlob Frege & Michael Beaney (eds.) - 1997 - Cambridge: Blackwell.
Reference and Reflexivity.John Perry - 2001 - Stanford, Calif.: Center for the Study of Language and Inf.
Reference and Reflexivity.John Perry - 2009 - Critica 41 (123):147-162.

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