Indicative conditionals and intuitionistic
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Abstract
In this work, I will defend that the intuitionistic conditional is at least as good as a model of the indicative conditional as any other proposal in the literature. To do so I will present three main arguments: (1) I will argue that Modus Ponens is a necessary rule to understand indicative conditionals, (2) I will defend that the Introduction rule is the best rule to model a conditional, and (3) I will show that these two rules don’t characterize necessarily the material conditional, rather there are infinitely many conditionals that satisfy them. Even more, the intuitionistic conditional in particular will validate several desiderata posed by the literature on conditionals, as well as having probabilities that match a version of Stalnaker’s Thesis and a semantics that will add an epistemic flavor to the indicative conditional.
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Conditionals, Epistemic Conditionals, Intuitionistic Conditionals, Indicative Conditionals

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