An Argument for Conjunction Conditionalization

Review of Symbolic Logic 6 (4):573-588 (2013)

Authors
Robert Williams
University of Leeds
Lee Walters
University of Southampton
Abstract
Are counterfactuals with true antecedents and consequents automatically true? That is, is Conjunction Conditionalization: if (X & Y), then (X > Y) valid? Stalnaker and Lewis think so, but many others disagree. We note here that the extant arguments for Conjunction Conditionalization are unpersuasive, before presenting a family of more compelling arguments. These arguments rely on some standard theorems of the logic of counterfactuals as well as a plausible and popular semantic claim about certain semifactuals. Denying Conjunction Conditionalization, then, requires rejecting other aspects of the standard logic of counterfactuals, or else our intuitive picture of semifactuals.
Keywords True Antecedents  Counterfactuals  Lewis
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DOI 10.1017/S1755020313000191
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References found in this work BETA

Inquiry.Robert Stalnaker - 1984 - Cambridge University Press.
Inquiry.Jon Barwise - 1986 - Philosophical Review 95 (3):429.

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Citations of this work BETA

Possible World Semantics and True-True Counterfactuals.Lee Walters - 2016 - Pacific Philosophical Quarterly 97 (3):322-346.
Against Hypothetical Syllogism.Lee Walters - 2014 - Journal of Philosophical Logic 43 (5):979-997.
Conditionals, Modals, and Hypothetical Syllogism.Lee Walters - 2014 - Thought: A Journal of Philosophy 3 (1):90-97.
Conjunction, Connection and Counterfactuals.Chaoan He - 2016 - Erkenntnis 81 (4):705-719.

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