David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Symbolic Logic 48 (2):415-426 (1983)
Higher-order theories of properties, relations, and propositions are known to be essentially incomplete relative to their standard notions of validity. It turns out that the first-order theory of PRPs that results when first-order logic is supplemented with a generalized intensional abstraction operation is complete. The construction involves the development of an intensional algebraic semantic method that does not appeal to possible worlds, but rather takes PRPs as primitive entities. This allows for a satisfactory treatment of both the modalities and the propositional attitudes, and it suggests a general strategy for developing a comprehensive treatment of intensional logic
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George Bealer (1989). On the Identification of Properties and Propositional Functions. Linguistics and Philosophy 12 (1):1 - 14.
George Bealer (1994). Property Theory: The Type-Free Approachv. The Church Approach. [REVIEW] Journal of Philosophical Logic 23 (2):139 - 171.
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