Defending Conditional Excluded Middle

Noûs 44 (4):650-668 (2010)
Authors
Robert Williams
University of Leeds
Abstract
Lewis (1973) gave a short argument against conditional excluded middle, based on his treatment of ‘might’ counterfactuals. Bennett (2003), with much of the recent literature, gives an alternative take on ‘might’ counterfactuals. But Bennett claims the might-argument against CEM still goes through. This turns on a specific claim I call Bennett’s Hypothesis. I argue that independently of issues to do with the proper analysis of might-counterfactuals, Bennett’s Hypothesis is inconsistent with CEM. But Bennett’s Hypothesis is independently objectionable, so we should resolve this tension by dropping the Hypothesis, not by dropping CEM
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DOI 10.1111/j.1468-0068.2010.00766.x
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References found in this work BETA

Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Studies in Logical Theory.Robert Stalnaker - 1968 - Oxford: Blackwell.
Epistemic Possibilities.Keith DeRose - 1991 - Philosophical Review 100 (4):581-605.
Chance and Counterfactuals.John Hawthorne - 2005 - Philosophy and Phenomenological Research 70 (2):396–405.

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Citations of this work BETA

An Argument for Conjunction Conditionalization.Lee Walters & Robert Williams - 2013 - Review of Symbolic Logic 6 (4):573-588.
Subjunctive Credences and Semantic Humility.Sarah Moss - 2013 - Philosophy and Phenomenological Research 87 (2):251-278.
Conditionals, Indeterminacy, and Triviality.Justin Khoo - 2013 - Philosophical Perspectives 27 (1):260-287.

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