Bulletin of Symbolic Logic

The senses of functions in the Logic of Sense and Denotation

Kevin C. Klement

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This paper discusses certain problems arising within the treatment of the senses of functions in Alonzo Church's Logic of Sense and Denotation. Church understands such senses themselves to be “sense-functions,” functions from sense to sense. However, the conditions he lays out under which a sense-function is to be regarded as a sense presenting another function as denotation allow for certain undesirable results given certain unusual or “deviant” sense-functions. Certain absurdities result, e.g., an argument can be found for equating any two senses of the same type. An alternative treatment of the senses of functions is discussed, and is thought to do better justice to Frege's original theory.

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Bull. Symbolic Logic, Volume 16, Issue 2 (2010), 153-188.

First available in Project Euclid: 12 October 2010

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Alonzo Church Gottlob Frege function sense reference denotation meaning intensional logic


Klement, Kevin C. The senses of functions in the Logic of Sense and Denotation. Bull. Symbolic Logic 16 (2010), no. 2, 153--188. doi:10.2178/bsl/1286889123. https://projecteuclid.org/euclid.bsl/1286889123

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