Variable-Binders as Functors

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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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General Semantics.Lewis, David K.
Universal Grammar.Montague, Richard
Meaning and Partiality.Muskens, Reinhard

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On Logical Relativity.Varzi, Achille C.
Sulla relatività logica.Varzi, Achille C.

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