A defense of the Kripkean account of logical truth in first-order modal logic
Journal of Philosophical Logic 34 (3):305 - 326 (2005)
| Abstract | This paper responds to criticism of the Kripkean account of logical truth in first-order modal logic. The criticism, largely ignored in the literature, claims that when the box and diamond are interpreted as the logical modality operators, the Kripkean account is extensionally incorrect because it fails to reflect the fact that all sentences stating truths about what is logically possible are themselves logically necessary. I defend the Kripkean account by arguing that some true sentences about logical possibility are not logically necessary. | |||||||||
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Dominique Luzeaux, Jean Sallantin & Christopher Dartnell (2008). Logical Extensions of Aristotle's Square. Logica Universalis 2 (1).
AgustÃn Rayo & Timothy Williamson (2003). A Completeness Theorem for Unrestricted First-Order Languages. In Jc Beall (ed.), Liars and Heaps. Oxford University Press.
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Michael Nelson & Edward N. Zalta (2012). A Defense of Contingent Logical Truths. Philosophical Studies 157 (1):153-162.
Matthew McKeon (2004). On the Substitutional Characterization of First-Order Logical Truth. History and Philosophy of Logic 25 (3):205-224.
Derek Ball (2011). Property Identities and Modal Arguments. Philosophers' Imprint 11 (13).
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