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- W2125890653 abstract "It is widely believed that for all p, or at least for all entertainable p, it is knowable a priori that (p iff actually p). It is even more widely believed that for all such p, it is knowable that (p iff actually p). There is a simple argument against these claims from four antecedently plausible premisses. The argument is given below. Here ‘A’, ‘E’, ‘K’, ‘□’, ‘◊’ stand for ‘Actually’, ‘Someone entertains’, ‘Someone knows’, ‘Necessarily’ and ‘Possibly’, while ‘→’ and ‘↔’ are the material conditional and biconditional. In addition, q is any (entertainable and expressible) proposition that no one actually entertains, while r is ¬Eq, the proposition that no one entertains q.1 Premiss (1) requires only the plausible claim that some proposition is not actually entertained. If one cavils by appealing to gods or an infinite future, we can simply restrict the E and K operators to humans and to the current epoch." @default.
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- W2125890653 date "2011-05-18" @default.
- W2125890653 modified "2023-10-17" @default.
- W2125890653 title "Actuality and knowability" @default.
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- W2125890653 doi "https://doi.org/10.1093/analys/anr038" @default.
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