Bulletin of Symbolic Logic 16 (2):153-188 (2010)

Kevin Klement
University of Massachusetts, Amherst
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.
Keywords Alonzo Church   Gottlob Frege   function   sense   reference   denotation   meaning   intensional logic
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DOI 10.2178/bsl/1286889123
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References found in this work BETA

Formal Philosophy. [REVIEW]Richard Montague - 1975 - Canadian Journal of Philosophy 4 (3):573-578.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
Dummett on Frege. [REVIEW]Leslie Stevenson - 1974 - Philosophical Quarterly 24 (97):349-359.
The Calculi of Lambda-Conversion.Alonzo Church - 1941 - Princeton, NJ, USA: Princeton University Press.
How to Russell a Frege-Church.David Kaplan - 1975 - Journal of Philosophy 72 (19):716-729.

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Citations of this work BETA

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