Peirce, frege, the logic of relations, and church's theorem

History and Philosophy of Logic 5 (1):49-66 (1984)
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Abstract

In this essay, I discuss some observations by Peirce which suggest he had some idea of the substantive metalogical differences between logics which permit both quantifiers and relations, and those which do not. Peirce thus seems to have had arguments?which even De Morgan and Frege lacked?that show the superior expressiveness of relational logics

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Author's Profile

Randall Dipert
PhD: Indiana University, Bloomington; Last affiliation: University at Buffalo

References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.
Collected Papers.Charles S. Peirce - 1931 - Cambridge: Belknap Press of Harvard University Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - Princeton: Princeton University Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - London: Oxford University PRess. Edited by C. Truesdell.

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