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Property Theories

In Dov Gabbay & Frans Guenthner (eds.), Handbook of Philosophical Logic, Volume 10. Kluwer Academic Publishers. pp. 143-248 (2003)

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  1. A Propositional Logic with Relative Identity Connective and a Partial Solution to the Paradox of Analysis.Xuefeng Wen - 2007 - Studia Logica 85 (2):251-260.
    We construct a a system PLRI which is the classical propositional logic supplied with a ternary construction , interpreted as the intensional identity of statements and in the context . PLRI is a refinement of Roman Suszko’s sentential calculus with identity (SCI) whose identity connective is a binary one. We provide a Hilbert-style axiomatization of this logic and prove its soundness and completeness with respect to some algebraic models. We also show that PLRI can be used to give a partial (...)
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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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  • 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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  • ‘That’-Clauses and Non-Nominal Quantification.Tobias Rosefeldt - 2008 - Philosophical Studies 137 (3):301 - 333.
    This paper argues that ‘that’-clauses are not singular terms (without denying that their semantical values are propositions). In its first part, three arguments are presented to support the thesis, two of which are defended against recent criticism. The two good arguments are based on the observation that substitution of ‘the proposition that p’ for ‘that p’ may result in ungrammaticality. The second part of the paper is devoted to a refutation of the main argument for the claim that ‘that’-clauses are (...)
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  • 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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  • Propositions.George Bealer - 1998 - Mind 107 (425):1-32.
    Recent work in philosophy of language has raised significant problems for the traditional theory of propositions, engendering serious skepticism about its general workability. These problems are, I believe, tied to fundamental misconceptions about how the theory should be developed. The goal of this paper is to show how to develop the traditional theory in a way which solves the problems and puts this skepticism to rest. The problems fall into two groups. The first has to do with reductionism, specifically attempts (...)
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  • Intensional Entities.George Bealer - 1998 - In Edward Craig (ed.), Routledge Encyclopedia of Philosophy. Routledge. pp. 803-7.
  • Toward a New Theory of Content.George Bealer - 1994 - In R. Casati, B. Smith & G. White (eds.), Philosophy and Cognitive Sciences: Proceedings of the 16th International Wittgenstein Symposium (Kirchberg Am Wechsel, Austria 1993). Holder-Pichler-Tempsky. pp. 179-92.
    The purpose of this paper is to lay out the algebraic approach to propositions and then to show how it can be implemented in new solutions to Frege's puzzle and a variety of related puzzles about content.
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  • The Representational Theory of Consciousness.David Bourget - 2010 - Dissertation, Australian National University
    A satisfactory solution to the problem of consciousness would take the form of a simple yet fully general model that specifies the precise conditions under which any given state of consciousness occurs. Science has uncovered numerous correlations between consciousness and neural activity, but it has not yet come anywhere close to this. We are still looking for the Newtonian laws of consciousness. -/- One of the main difficulties with consciousness is that we lack a language in which to formulate illuminating (...)
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  • A Solution to Frege's Puzzle.George Bealer - 1993 - Philosophical Perspectives 7:17-60.
    This paper provides a new approach to a family of outstanding logical and semantical puzzles, the most famous being Frege's puzzle. The three main reductionist theories of propositions (the possible-worlds theory, the propositional-function theory, the propositional-complex theory) are shown to be vulnerable to Benacerraf-style problems, difficulties involving modality, and other problems. The nonreductionist algebraic theory avoids these problems and allows us to identify the elusive nondescriptive, non-metalinguistic, necessary propositions responsible for the indicated family of puzzles. The algebraic approach is also (...)
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  • Universals.George Bealer - 1993 - Journal of Philosophy 60 (1):5-32.
    Presented here is an argument for the existence of universals. Like Church's translation- test argument, the argument turns on considerations from intensional logic. But whereas Church's argument turns on the fine-grained informational content of intensional sentences, this argument turns on the distinctive logical features of 'that'-clauses embedded within modal contexts. And unlike Church's argument, this argument applies against truth-conditions nominalism and also against conceptualism and in re realism. So if the argument is successful, it serves as a defense of full (...)
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  • What is Stemness?Yan Leychkis, Stephen R. Munzer & Jessica L. Richardson - 2009 - Studies in History and Philosophy of Science Part C 40 (4):312-320.
    This paper, addressed to both philosophers of science and stem cell biologists, aims to reduce the obscurity of and disagreements over the nature of stemness. The two most prominent current theories of stemness—the entity theory and the state theory—are both biologically and philosophically unsatisfactory. Improved versions of these theories are likely to converge. Philosophers of science can perform a much needed service in clarifying and formulating ways of testing entity and state theories of stemness. To do so, however, philosophers should (...)
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