Against Hypothetical Syllogism

Journal of Philosophical Logic 43 (5):979-997 (2014)
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Abstract

The debate over Hypothetical Syllogism is locked in stalemate. Although putative natural language counterexamples to Hypothetical Syllogism abound, many philosophers defend Hypothetical Syllogism, arguing that the alleged counterexamples involve an illicit shift in context. The proper lesson to draw from the putative counterexamples, they argue, is that natural language conditionals are context-sensitive conditionals which obey Hypothetical Syllogism. In order to make progress on the issue, I consider and improve upon Morreau’s proof of the invalidity of Hypothetical Syllogism. The improved proof relies upon the semantic claim that conditionals with antecedents irrelevant to the obtaining of an already true consequent are themselves true. Moreover, this semantic insight allows us to provide compelling counterexamples to Hypothetical Syllogism that are resistant to the usual contextualist response

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Lee Walters
University of Southampton

Citations of this work

Counterfactuals.Willow Starr & Alex Kocurek - 2025 - Stanford Encyclopedia of Philosophy.
Possible World Semantics and True-True Counterfactuals.Lee Walters - 2016 - Pacific Philosophical Quarterly 97 (3):322-346.
Serial Fiction, the End?Lee Walters - 2015 - British Journal of Aesthetics 55 (3):323-341.
Conditionals, Modals, and Hypothetical Syllogism.Lee Walters - 2014 - Thought: A Journal of Philosophy 3 (1):90-97.

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A System of Logic, Ratiocinative and Inductive.John Stuart Mill - 1843 - New York and London,: University of Toronto Press. Edited by J. Robson.

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