Intermediate conclusions
Australasian Journal of Philosophy 53 (1):61 – 64 (1975)
| Abstract | A statement q is a conclusion intermediate between p and h if and only if (1) p justifies h, (2) p justifies q, and (3) (p and not-q) justifies h to a significantly lesser degree than p justifies h. I contend that Gettier-type counterexamples to definitions of factual knowledge violate the following principle: if one knows that h on the basis of p, then all the conclusions intermediate between p and h are true. This principle does not refer to anyone's beliefs that intermediate conclusions are true. I test my contention against several examples which have been discussed in the literature. | |||||||||
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Jonathan P. Seldin (1986). On the Proof Theory of the Intermediate Logic MH. Journal of Symbolic Logic 51 (3):626-647.
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Wiesław Dziobiak (1982). On Finite Approximability of Ψ-Intermediate Logics. Studia Logica 41 (1):67 - 73.
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