Completeness in the theory of properties, relations, and propositions

Journal of Symbolic Logic 48 (2):415-426 (1983)
Authors
George Bealer
Yale University
Abstract
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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DOI 10.2307/2273559
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References found in this work BETA

Theories of Properties, Relations, and Propositions.George Bealer - 1979 - Journal of Philosophy 76 (11):634-648.
Intensional Isomorphism and Identity of Belief.Alonzo Church - 1954 - Philosophical Studies 5 (5):65 - 73.

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Citations of this work BETA

Possible Worlds for Modal Primitivists.Louis deRosset - 2014 - Journal of Philosophical Logic 43 (1):109-131.
Property Theory: The Type-Free Approach V. The Church Approach.George Bealer - 1994 - Journal of Philosophical Logic 23 (2):139 - 171.

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