On the Proper Treatment of Quantification in Contexts of Logical and Metaphysical Modalities*
نویسنده
چکیده
The question now arises how the two kinds of alethic modalities relate to each other. The answer, of course, depends on how precisely we characterize the two notions. Suppose that we have a class K consisting of all Kripke models for a language of modal propositional or predicate logic with operators: Ø for metaphysical necessity, L for logical necessity, and A for actuality. Each model is associated with a set of points (representing “possible worlds”) of which one represents the “actual world”. Truth in a model is defined as truth at the actual world of the model. Logical truth, or validity, is defined as truth in every model. We adopt the following semantic clauses for logical necessity, metaphysical necessity and actuality:
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