The senses of functions in the logic of sense and denotation

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

Authors
Kevin Klement
University of Massachusetts, Amherst
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.
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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Formal Philosophy. [REVIEW]Richard Montague - 1975 - Canadian Journal of Philosophy 4 (3):573-578.
Philosophical and Mathematical Correspondence.Gottlob Frege, Gottfried Gabriel, Brian Mcguinness & Hans Kaal - 1982 - Revue Philosophique de la France Et de l'Etranger 172 (1):64-64.
Function and Concept.Gottlob Frege - 1997 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press. pp. 130-149.
Frege: Philosophy of Language.Michael Dummett - 1973 - Philosophical Quarterly 24 (97):349-359.

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