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Free logics

DOI: 10.1016/s1874-5857(07)80013-6
  • Linguistics
  • Philosophy


Summary Free logics carry Aristotelian logic's concern with existential commitment into the field of modern logic. They use both syntactic and semantic tools to analyze, to refine and ultimately to combat modern logic's own existential commitments; and they are extraordinarily sensitive to the modern view of logical form. Indeed, they and their applications are technical and philosophical heirs to the debates about singular predication and quantification that took place at the dawn of modern logic. Finally, though free logics traditionally developed in the extensional tradition, they in fact interact productively with modal and intuitionistic logics, the staples of modern logic's intensional stream.

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