June 2010 The senses of functions in the Logic of Sense and Denotation
Kevin C. Klement
Bull. Symbolic Logic 16(2): 153-188 (June 2010). DOI: 10.2178/bsl/1286889123


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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Kevin C. Klement. "The senses of functions in the Logic of Sense and Denotation." Bull. Symbolic Logic 16 (2) 153 - 188, June 2010. https://doi.org/10.2178/bsl/1286889123


Published: June 2010
First available in Project Euclid: 12 October 2010

zbMATH: 1211.03012
MathSciNet: MR2677553
Digital Object Identifier: 10.2178/bsl/1286889123

Keywords: Alonzo Church , denotation , function , Gottlob Frege , intensional logic , meaning , reference , sense

Rights: Copyright © 2010 Association for Symbolic Logic


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Vol.16 • No. 2 • June 2010
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