Wittgensteinian Predicate Logic and Compositionality

Notre Dame Journal of Formal Logic 65 (2):113-125 (2024)
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Abstract

I investigate whether Wittgenstein’s “weakly exclusive” Tractarian semantics (as reconstructed by Rogers and Wehmeier) is compositional. In both Tarskian and Wittgensteinian semantics, one has the choice of either working exclusively with total variable assignments or allowing partial assignments; the choice has no bearing on the compositionality of Tarskian semantics, but turns out to make a difference in the Wittgensteinian case. Some philosophical ramifications of this observation are discussed.

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Kai Wehmeier
University of California, Irvine

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References found in this work

Pragmatics and intensional logic.Richard Montague - 1970 - Synthese 22 (1-2):68--94.
How to Live Without Identity—And Why.Kai F. Wehmeier - 2012 - Australasian Journal of Philosophy 90 (4):761 - 777.
The proper treatment of variables in predicate logic.Kai F. Wehmeier - 2018 - Linguistics and Philosophy 41 (2):209-249.
Identity, variables, and impredicative definitions.K. Jaakko & J. Hintikka - 1956 - Journal of Symbolic Logic 21 (3):225-245.
Identity Variables, and Impredicative Definitions.Jaakko Hintikka - 1956 - Journal Fo Symbolic Logic 21 (3):225-245.

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