Theories of properties, relations, and propositions

Journal of Philosophy 76 (11):634-648 (1979)
Authors
George Bealer
Yale University
Abstract
This is the only complete logic for properties, relations, and propositions (PRPS) that has been formulated to date. First, an intensional abstraction operation is adjoined to first-order quantifier logic, Then, a new algebraic semantic method is developed. The heuristic used is not that of possible worlds but rather that of PRPS taken at face value. Unlike the possible worlds approach to intensional logic, this approach yields a logic for intentional (psychological) matters, as well as modal matters. At the close of the paper, the origin of incompleteness in logic is investigated. The culprit is found to be the predication relation, a relation on properties and relations that is expressed in natural language by the copula.
Keywords Analytic Philosophy  Contemporary Philosophy
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ISBN(s) 0022-362X
DOI 10.2307/2025697
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Predication and Extensionalization.Bjørn Jespersen - 2008 - Journal of Philosophical Logic 37 (5):479 - 499.
In Defense of the Disjunctive.Alexander Skiles - 2016 - Inquiry : An Interdisciplinary Journal of Philosophy 59 (5):471-487.
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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