The material and the suppositional conditional

Abstract

The material conditional and the suppositional analysis of the indicative conditional are based on different philosophical foundations and they leave important successes of their competitor unexplained. This paper unifies both accounts within a truth-functional, trivalent model of the suppositional analysis. In this model, we observe that the material and the suppositional conditional exhibit the same logical behavior while they have different truth conditions and different probabilities. The result is a unified semantic analysis that closes an important gap in the suppositional story and explains the persistent appeal of the material conditional analysis for philosophers and psychologists of reasoning.

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Jan Sprenger
University of Turin

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