The senses of functions in the logic of sense and denotation

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

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Kevin Klement
University of Massachusetts, Amherst

Citations of this work

Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
The Functional Composition of Sense.Bryan Pickel - 2021 - Synthese 199 (3-4):6917-6942.

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References found in this work

Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
The Calculi of Lambda-conversion.Alonzo Church - 1985 - Princeton, NJ, USA: Princeton University Press.
How to Russell a Frege-Church.David Kaplan - 1975 - Journal of Philosophy 72 (19):716-729.
Function and Concept.Gottlob Frege - 1960 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press. pp. 130-149.

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