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

History and Philosophy of Logic 5 (1):49-66 (1984)
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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    Alonzo Church (1956). Introduction to Mathematical Logic. Princeton, Princeton University Press.
    Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
    Augustus De Morgan (1966). On the Syllogism. New Haven, Yale University Press.

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