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").
Read more about this topic: Kripke Semantics
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“Neither Aristotelian nor Russellian rules give the exact logic of any expression of ordinary language; for ordinary language has no exact logic.”
—Sir Peter Frederick Strawson (b. 1919)