An Expressivist Analysis of the Indicative Conditional with a Restrictor Semantics

Review of Symbolic Logic 14 (2):487-530 (2021)
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Abstract

A globally expressivist analysis of the indicative conditional based on the Ramsey Test is presented. The analysis is a form of ‘global’ expressivism in that it supplies acceptance and rejection conditions for all the sentence forming connectives of propositional logic (negation, disjunction, etc.) and so allows the conditional to embed in arbitrarily complex sentences (thus avoiding the Frege–Geach problem). The expressivist framework is semantically characterized in a restrictor semantics due to Vann McGee, and is completely axiomatized in a logic dubbed ICL (‘Indicative Conditional Logic’). The expressivist framework extends the AGM (after Alchourron, Gärdenfors, Makinson) framework for belief revision and so provides a categorical (‘yes’–‘no’) epistemology for conditionals that complements McGee’s probabilistic framework while drawing on the same semantics. The result is an account of the semantics and acceptability conditions of the indicative conditional that fits well with the linguistic data (as pooled by linguists and from psychological experiments) while integrating both expressivist and semanticist perspectives.

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John Cantwell
Royal Institute of Technology, Stockholm

Citations of this work

Modal Knowledge for Expressivists.Peter Hawke - 2024 - Journal of Philosophical Logic 53 (4):1109-1143.
If P, Then P!Matthew Mandelkern - 2021 - Journal of Philosophy 118 (12):645-679.
Revisiting McGee’s Probabilistic Analysis of Conditionals.John Cantwell - 2022 - Journal of Philosophical Logic (5):1-45.

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References found in this work

A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher, Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Making it Explicit.Isaac Levi & Robert B. Brandom - 1994 - Journal of Philosophy 93 (3):145.
Epistemic Modals.Seth Yalcin - 2007 - Mind 116 (464):983-1026.
Studies in the Way of Words.Paul Grice - 1989 - Philosophy 65 (251):111-113.

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