Authors
Tom Beevers
King's College London
Abstract
I argue that vagueness produces counterexamples to modus tollens. I begin by outlining cases where indicative and counterfactual conditionals seem intuitively to be determinate even when their antecedents are borderline and their consequents are determinately false. Accepting these intuitions has some revisionary implications; however, rejecting them leads to unacceptable consequences for our knowledge of conditionals. I thus take it that we should accept that our intuitions are reliable. I show it follows that modus tollens fails. I conclude by defending this consequence from some objections.
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DOI 10.1093/arisoc/aoaa005
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References found in this work BETA

On Conditionals.Dorothy Edgington - 1995 - Mind 104 (414):235-329.
A Counterexample to Modus Tollens.Seth Yalcin - 2012 - Journal of Philosophical Logic 41 (6):1001-1024.
Two Recent Theories of Conditionals.Allan Gibbard - 1981 - In William Harper, Robert C. Stalnaker & Glenn Pearce (eds.), Ifs. Reidel. pp. 211-247.
A New Introduction to Modal Logic.G. E. Hughes & M. J. Cresswell - 1996 - Studia Logica 62 (3):439-441.

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