On Conditionals

Dissertation, National University of Singapore (2018)
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Abstract

This thesis is about indicative conditionals and apparent counterexamples to classically valid argument forms. Specifically, it applies the following four theories: - material (inspired by Grice (1961, 1975 and 1989)); - possible-worlds (inspired by Stalnaker (1981); Lewis (1976); and Kratzer (2012)), - suppositional (inspired by Adams (1975) and Edgington (1995 and 2014)); and - hybrid (inspired by Jackson (1987)) to try and solve the following two counterexamples: - Vann McGee’s to modus ponens (1985); and - Lewis Carroll’s to modus tollens (1894). I argue that none of the theories I consider can explain – without facing any problems – the three individually plausible but jointly inconsistent theses that give rise to the apparent counterexamples. The three theses of the trilemma are the following: (1) the argument is invalid; (2) the argument is an instance of modus ponens or modus tollens; and (3) modus ponens or modus tollens is valid.

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Theresa Helke
Smith College

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References found in this work

Studies in the way of words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher, Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Logic and Conversation.H. Paul Grice - 1975 - In Donald Davidson, The logic of grammar. Encino, Calif.: Dickenson Pub. Co.. pp. 64-75.
Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.

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