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George Bealer (1979). Theories of Properties, Relations, and Propositions.

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  1.  55
    In Defense of the Disjunctive.Alexander Skiles - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (5):471-487.
    Are there any disjunctive properties—features of things such as being either red or round, or Nelson Goodman’s infamous example of being grue? As esoteric as the question may seem at first, central issues about the metaphysics of properties hinge upon its answer, such as whether reductive views about special science properties can handle the phenomenon of multiple realizability. A familiar argument for a negative answer is that disjunctive properties fail to guarantee that their instances are similar in some genuine respect. (...)
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    LogAB: A First-Order, Non-Paradoxical, Algebraic Logic of Belief.H. O. Ismail - 2012 - Logic Journal of the IGPL 20 (5):774-795.
  3.  6
    Critical Notice.Brian Ball - 2011 - Canadian Journal of Philosophy 41 (4):575-594.
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    Predication and Extensionalization.Bjørn Jespersen - 2008 - Journal of Philosophical Logic 37 (5):479 - 499.
    In his 2000 book Logical Properties Colin McGinn argues that predicates denote properties rather than sets or individuals. I support the thesis, but show that it is vulnerable to a type-incongruity objection, if properties are (modelled as) functions, unless a device for extensionalizing properties is added. Alternatively, properties may be construed as primitive intensional entities, as in George Bealer. However, I object to Bealer’s construal of predication as a primitive operation inputting two primitive entities and outputting a third primitive entity. (...)
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  5. Property Theory: The Type-Free Approach V. The Church Approach.George Bealer - 1994 - Journal of Philosophical Logic 23 (2):139 - 171.
    In a lengthy review article, C. Anthony Anderson criticizes the approach to property theory developed in Quality and Concept (1982). That approach is first-order, type-free, and broadly Russellian. Anderson favors Alonzo Church’s higher-order, type-theoretic, broadly Fregean approach. His worries concern the way in which the theory of intensional entities is developed. It is shown that the worries can be handled within the approach developed in the book but they remain serious obstacles for the Church approach. The discussion focuses on: (1) (...)
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  6. On the Identification of Properties and Propositional Functions.George Bealer - 1989 - Linguistics and Philosophy 12 (1):1 - 14.
    Arguments are given against the thesis that properties and propositional functions are identical. The first shows that the familiar extensional treatment of propositional functions -- that, for all x, if f(x) = g(x), then f = g -- must be abandoned. Second, given the usual assumptions of propositional-function semantics, various propositional functions (e.g., constant functions) are shown not to be properties. Third, novel examples are given to show that, if properties were identified with propositional functions, crucial fine-grained intensional distinctions would (...)
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  7. Completeness in the Theory of Properties, Relations, and Propositions.George Bealer - 1983 - Journal of Symbolic Logic 48 (2):415-426.
    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 (...)
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    Nominalization and Montague Grammar: A Semantics Without Types for Natural Languages. [REVIEW]Gennaro Chierchia - 1982 - Linguistics and Philosophy 5 (3):303 - 354.
    We started from the fact that type theory, in the way it was implemented in IL, makes it costly to deal with nominalization processes. We have also argued that the type hierarchy as such doesn't play any real role in a grammar; the classification it provides for different semantic objects is already contained, in some sense, in the categorial structure of the grammar itself. So, on the basis of a theory of properties (Cocchiarella's HST*) we have tried to build a (...)
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