Can concepts be defined in terms of sets?

Logic and Logical Philosophy 19 (3):195-242 (2010)
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Abstract

The goal of this paper is a philosophical explication and logical rectification of the notion of concept. We take into account only those contexts that are relevant from the logical point of view. It means that we are not interested in contexts characteristic of cognitive sciences, particularly of psychology, where concepts are conceived of as some kind of mental objects or representations. After a brief recapitulation of various theories of concept, in particular Frege’s and Church’s ones, we propose our own theory based on procedural semantics of Transparent Intensional Logic (TIL) and explicate concept in terms of the key notion of TIL, namely construction viewed as an abstract, algorithmically structured procedure

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References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Universal grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
Funktion und Begriff.Gottlob Frege - 1891 - Jena: Hermann Pohle.
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Two Dogmas of Empiricism.John G. Kemeny - 1951 - Journal of Symbolic Logic 17 (4):281-283.

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