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The Senses of Functions in the Logic of Sense and Denotation

Published online by Cambridge University Press:  15 January 2014

Kevin C. Klement
Kevin C. Klement*
Affiliation:
Philosophy Department, University of Massachusetts, 352 Bartlett Hall, 130 Hicks Way Amherst, Massachusetts 01003, USAE-mail:[email protected], URL: http://people.umass.edu/klement/
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Abstract

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.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 16 , Issue 2 , June 2010 , pp. 153 - 188
Copyright
Copyright © Association for Symbolic Logic 2010

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