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The logic of conditionals has not at all been exhausted by the above discussion. "). Thus, they provide also a good case for a general theory of "contextual dynam- Premise Semantics 29 ics," a conspicuous trend these days. (A first influential statement has been R. Stalnaker, 1972, Pragmatics, in D. Davidson and G. ) In a sense, understanding conditionals involves understanding most of the central aspects of reasoning. 4 Combinations Literature Relevant parts of Chellas, B. 1980. Modal Logic: An Introduction.

But, this conclusion may fall upon acquisition of further information (such as ->Sb). Minimal models for ip,ip need no longer be minimal models for tp alone—and hence we have again a form of non-monotonicity. Now, conditional logic does two things for us here. First, its semantics provides a general abstract scheme behind all kinds of minimality proposed in the literature on circumscription. (Cf. ) Moreover, its axiomatics shows what general logic governs the notion of minimal consequence, as opposed to classical consequence.

Thomason, R. 1984. Combinations of Tense and Modality. In D. Gabbay and F. , Handbook of Philosophical Logic: vol. II, Dordrecht: Reidel, 135-165. Time and Modality The most fundamental combination in the tradition has temporal and modal elements intertwined. In an analytic approach, these are treated as separate components: W x T-models have a bundle of worlds, sharing a common time pattern. ) Evaluation takes place at an "index" with two components: M |= (p\w,t\. This is only the beginning of a long road in intensional semantics, where the index carries more and more contextual parameters.

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