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- W2898821837 abstract "Abstract Standard conditionals $varphi > psi$ , by which I roughly mean variably strict conditionals à la Stalnaker and Lewis, are trivially true for impossible antecedents. This article investigates three modifications in a doxastic setting. For the neutral conditional, all impossible-antecedent conditionals are false, for the doxastic conditional they are only true if the consequent is absolutely necessary, and for the metaphysical conditional only if the consequent is ‘model-implied’ by the antecedent. I motivate these conditionals logically, and also doxastically by properties of conditional belief and belief revision. For this I show that the Lewisian hierarchy of conditional logics can be reproduced within ranking semantics, provided we slightly stretch the notion of a ranking function. Given this, acceptance of a conditional can be interpreted as a conditional belief. The epistemic and the neutral conditional deviate from Lewis’ weakest system $V$ , in that ID ( $varphi > varphi$ ) or even CN ( $varphi > top$ ) are dropped, and new axioms appear. The logic of the metaphysical conditional is completely axiomatised by $V$ to which we add the known Kripke axioms T5 for the outer modality. Related completeness results for variations of the ranking semantics are obtained as corollaries." @default.
- W2898821837 created "2018-11-09" @default.
- W2898821837 creator A5022879664 @default.
- W2898821837 date "2018-10-30" @default.
- W2898821837 modified "2023-09-25" @default.
- W2898821837 title "COMPLETENESS FOR <i>COUNTER-DOXA</i> CONDITIONALS – USING RANKING SEMANTICS" @default.
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- W2898821837 doi "https://doi.org/10.1017/s1755020318000199" @default.
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