Variable-Binders as Functors

Poznan Studies in the Philosophy of the Sciences and the Humanities 40:303-19 (1995)
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Abstract

This work gives an extended presentation of the treatment of variable-binding operators adumbrated in [3:1993d]. Illustrative examples include elementary languages with quantifiers and lambda-equipped categorial languages. Some remarks are also offered to illustrate the philosophical import of the resulting picture. Particularly, a certain conception of logic emerges from the account: the view that logics are true theories in the model-theoretic sense, i.e. the result of selecting a certain class of models as the only “admissible” interpretation structures (for a given language).

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Achille C. Varzi
Columbia University

Citations of this work

On Logical Relativity.Achille C. Varzi - 2002 - Philosophical Issues 12 (1):197-219.
Sulla relatività logica.Achille C. Varzi - 2004 - In Massimiliano Carrara & Pierdaniele Giaretta (eds.), Filosofia e logica. Rubbettino Editore. pp. 135–173.

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References found in this work

General semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
Universal grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
A formulation of the simple theory of types.Alonzo Church - 1940 - Journal of Symbolic Logic 5 (2):56-68.
A Formulation of the Simple Theory of Types.Alonzo Church - 1940 - Journal of Symbolic Logic 5 (3):114-115.

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