Van Fraassen, Bas C.
(2024)
Probabilities of Conditionals: Three Easy Pieces.
[Preprint]
Abstract
ABSTRACT. In this paper I will address three topics in the logic of conditionals. The first is the question whether the class of ‘reasonable’ probability functions must be closed under conditionalization. The second topic is the character of logical consequence when probabilities of conditionals come into play. The third is more specific: I want to present a challenge to the possible worlds approach in formal semantics, in favor of an algebraic approach. For this I will use as a case study Alan Hajek’s views on counterfactual conditionals, and its problems with infinity. Included in this will be reasons to expect algebras of propositions to be incomplete algebras.
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