Abstract
The novice may wonder why quantified modal logic (QML) is considered difficult. QML would seem to be easy: simply add the principles of first-order logic to propositional modal logic. Unfortunately, this choice does not correspond to a intuitively satisfying semantics. From the semantical point of view, we are confronted with a number of decisions concerning the quantifiers, and these in turn prompt new questions about the semantics of identity, terms, and predicates. Since most of the choices can be made independently, the number of interesting quantified modal logics seems bewilderingly large.
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Garson, J.W. (1984). Quantification in Modal Logic. In: Gabbay, D., Guenthner, F. (eds) Handbook of Philosophical Logic. Synthese Library, vol 165. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6259-0_5
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DOI: https://doi.org/10.1007/978-94-009-6259-0_5
Publisher Name: Springer, Dordrecht
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