According to the Principle of Conditional Non-Contradiction (CNC), conditionals of the form “If p, q” and “If p, not q” cannot both be true, unless p is inconsistent. This principle is widely regarded as an adequacy constraint on any semantics that attributes truth conditions to conditionals. Gibbard has presented an example of a pair of conditionals that, in the context he describes, appear to violate CNC. He concluded from this that conditionals lack truth conditions. We argue that this conclusion is rash by proposing a new diagnosis of what is going on in Gibbard’s argument. We also provide empirical evidence in support of our proposal.
KeywordsConditionals Inference Semantics
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- 9.Evans, J. St. B. T., and D. E. Over, If, Oxford University Press, Oxford, 2004.Google Scholar
- 10.Gabbay D., Woods J.: The Reach of Abduction. Elsevier, Amsterdam (2005)Google Scholar
- 11.Gibbard, A., Two recent theories of conditionals, in W. L. Harper, R. Stalnaker, and G. Pearce (eds.), Ifs, Reidel, Dordrecht, 1981, pp. 211–247.Google Scholar
- 13.Krzyżanowska, K., Ambiguous conditionals, in P. Stalmaszczyk (ed.), Philosophical and Formal Approaches to Linguistic Analysis, Ontos Verlag, Frankfurt, 2012, pp. 315–332.Google Scholar
- 14.Krzyżanowska, K., S. Wenmackers., and I. Douven, Inferential conditionals and evidentiality, manuscript, 2013.Google Scholar
- 18.Lycan W.G.: Real Conditionals. Oxford University Press, Oxford (2001)Google Scholar
- 20.Over, D. E., I. Douven., and S. Verbrugge, Scope ambiguities and conditionals, Thinking and Reasoning, 2013 (in press).Google Scholar
- 21.Sanford, D. H., If P, Then Q, Routledge, London, 1989.Google Scholar
- 22.Stalnaker, R., Indicative conditionals, Philosophia 269–286. 1975Google Scholar
- 23.Unterhuber, M., Possible Worlds Semantics for Indicative and Counterfactual Conditionals?, Ontos Verlag, Frankfurt, 2013.Google Scholar