Kripke Semantics - Semantics of Modal Logic

Semantics of Modal Logic

The language of propositional modal logic consists of a countably infinite set of propositional variables, a set of truth-functional connectives (in this article and ), and the modal operator ("necessarily"). The modal operator ("possibly") is the dual of and may be defined in terms of it like so: ("possibly A" is defined as equivalent to "not necessarily not A").

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Famous quotes containing the word logic:

    Our argument ... will result, not upon logic by itself—though without logic we should never have got to this point—but upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other man’s position, are extremely rare.
    Richard M. Hare (b. 1919)