A note on Gibbard’s proof

Philosophical Studies 166 (S1):153-164 (2013)
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Abstract

A proof by Allan Gibbard (Ifs: Conditionals, beliefs, decision, chance, time. Reidel, Dordrecht, 1981) seems to demonstrate that if indicative conditionals have truth conditions, they cannot be stronger than material implication. Angelika Kratzer's theory that conditionals do not denote two-place operators purports to escape this result [see Kratzer (Chic Linguist Soc 22(2):1–15, 1986, 2012)]. In this note, I raise some trouble for Kratzer’s proposed method of escape and then show that her semantics avoids this consequence of Gibbard’s proof by denying modus ponens. I also show that the same holds for Anthony Gillies’ semantics (Philos Rev 118(3):325–349, 2009) and argue that this consequence of these theories is not obviously prohibitive—hence, both remain viable theories of indicative conditionals

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Justin Khoo
Massachusetts Institute of Technology

Citations of this work

If P, Then P!Matthew Mandelkern - 2021 - Journal of Philosophy 118 (12):645-679.
Trivializing Informational Consequence.Paolo Santorio - 2022 - Philosophy and Phenomenological Research 104 (2):297-320.
Probabilities of conditionals in context.Justin Khoo - 2016 - Linguistics and Philosophy 39 (1):1-43.

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References found in this work

A philosophical guide to conditionals.Jonathan Bennett - 2003 - New York: Oxford University Press.
Studies in the Way of Words.Paul Grice - 1989 - Philosophy 65 (251):111-113.
On conditionals.Dorothy Edgington - 1995 - Mind 104 (414):235-329.
Indicative conditionals.Robert Stalnaker - 1975 - Philosophia 5 (3):269-286.

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