| S. Artemov, 1998, "Explicit Modal Logic', in Proceedings AiML-II, Philosophical Institute, Uppsala, 22 -- 31. |
....one particular view of the semantics for a modal language, and hence, they may encourage undue conservatism. These issues were hotly debated in the seventies: cf. van Benthem 1977 on intrinsic versus translationist views of temporal logic. For a contemporary example, in the logic of proofs of Artemov 1998, the box modality [ is not a universal quantifier (over all accessible worlds) but an existential one (running over available proofs) But when well defined, such alternative views, too, can always be translated . Also, modal translations need not run into first order logic. For instance, when ....
S. Artemov, 1998, "Explicit Modal Logic', in Proceedings AiML-II, Philosophical Institute, Uppsala, 22 -- 31.
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