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  1. (1 other version)Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Philosophy 68 (265):405-411.
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  • Frege’s Conception of Numbers as Objects.Crispin Wright - 1983 - Critical Philosophy 1 (1):97.
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  • Generalized Quantifiers in Linguistics and Logic.D. Keenan & D. Westerstahl - 1997 - In J. F. A. K. Van Benthem, Johan van Benthem & Alice G. B. Ter Meulen (eds.), Handbook of Logic and Language. Elsevier. pp. 837--893.
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  • Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford, England: Oxford University Press.
    Develops a structuralist understanding of mathematics, as an alternative to set- or type-theoretic foundations, that respects classical mathematical truth while ...
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  • (1 other version)The proper treatment of quantification in ordinary English.Richard Montague - 1973 - In Patrick Suppes, Julius Moravcsik & Jaakko Hintikka (eds.), Approaches to Natural Language. Dordrecht. pp. 221--242.
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  • Frege’s Puzzle (2nd edition).Nathan U. Salmon - 1986 - Atascadero, CA: Ridgeview Publishing Company.
    This is the 1991 (2nd) edition of the 1986 book (MIT Press), considered to be the classic defense of Millianism. The nature of the information content of declarative sentences is a central topic in the philosophy of language. The natural view that a sentence like "John loves Mary" contains information in which two individuals occur as constituents is termed the naive theory, and is one that has been abandoned by most contemporary scholars. This theory was refuted originally by philosopher Gottlob (...)
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  • The reason's proper study: essays towards a neo-Fregean philosophy of mathematics.Crispin Wright & Bob Hale - 2001 - Oxford: Clarendon Press. Edited by Crispin Wright.
    Here, Bob Hale and Crispin Wright assemble the key writings that lead to their distinctive neo-Fregean approach to the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the program and the contributions made to it by the various papers; a section explaining which issues most require further attention; and bibliographies of references and further useful sources. It will be recognized as the (...)
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  • Frege.Michael Dummett - 1981 - Cambridge: Harvard University Press.
    In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume ...
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  • Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.
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  • (1 other version)On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
    By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...)
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  • Logical operations.Vann McGee - 1996 - Journal of Philosophical Logic 25 (6):567 - 580.
    Tarski and Mautner proposed to characterize the "logical" operations on a given domain as those invariant under arbitrary permutations. These operations are the ones that can be obtained as combinations of the operations on the following list: identity; substitution of variables; negation; finite or infinite disjunction; and existential quantification with respect to a finite or infinite block of variables. Inasmuch as every operation on this list is intuitively "logical", this lends support to the Tarski-Mautner proposal.
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  • Logicism and the ontological commitments of arithmetic.Harold T. Hodes - 1984 - Journal of Philosophy 81 (3):123-149.
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  • Psychosemantics: The Problem of Meaning in the Philosophy of Mind.Jerry A. Fodor - 1987 - MIT Press. Edited by Margaret A. Boden.
    Preface 1 Introduction: The Persistence of the Attitudes 2 Individualism and Supervenience 3 Meaning Holism 4 Meaning and the World Order Epilogue Creation Myth Appendix Why There Still Has to be a Language of Thought Notes References Author Index.
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  • (1 other version)Die Grundlagen der Arithmetik. Eine Logisch Mathematische Untersuchung über den Begriff der Zahl. [REVIEW]Matthias Schirn - 1988 - Journal of Symbolic Logic 53 (3):993-999.
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  • (1 other version)The Proper Treatment of Quantification in Ordinary English.Richard Montague - 1974 - In Richmond H. Thomason (ed.), Formal Philosophy. Yale University Press.
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  • (1 other version)Where do the natural numbers come from?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
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  • A puzzle about ontology.Thomas Hofweber - 2005 - Noûs 39 (2):256–283.
    Ontology is the philosophical discipline that tries to find out what there is: what entities make up reality, what is the stuff the world is made from? Thus, ontology is part of metaphysics, and in fact it seems to be about half of all of metaphysics. It tries to establish what (kinds of) things there are, the other half tries to find out what the (general) properties of these things are and what (general) relations they have to each other. Settling (...)
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  • Sums and quantifiers.Jaap Does - 1993 - Linguistics and Philosophy 16 (5):509 - 550.
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  • (1 other version)Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
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  • Language in Action: Categories, Lambdas and Dynamic Logic.Johan van Benthem - 1995 - MIT Press.
    Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic (...)
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  • Quantification and non-existent objects.Thomas Hofweber - 2000 - In T. Hofweber & A. Everett (eds.), Empty Names, Fiction, and the Puzzles of Non-Existence. CSLI Publications.
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  • Innocent statements and their metaphysically loaded counterparts.Thomas Hofweber - 2007 - Philosophers' Imprint 7:1-33.
    One puzzling feature of talk about properties, propositions and natural numbers is that statements that are explicitly about them can be introduced apparently without change of truth conditions from statements that don't mention them at all. Thus it seems that the existence of numbers, properties and propositions can be established`from nothing'. This metaphysical puzzle is tied to a series of syntactic and semantic puzzles about the relationship between ordinary, metaphysically innocent statements and their metaphysically loaded counterparts, statements that explicitly mention (...)
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  • (2 other versions)On a Generalization of Quantifiers.A. Mostowski - 1958 - Journal of Symbolic Logic 23 (2):217-217.
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  • Proof-theoretic reduction as a philosopher's tool.Thomas Hofweber - 2000 - Erkenntnis 53 (1-2):127-146.
    Hilbert’s program in the philosophy of mathematics comes in two parts. One part is a technical part. To carry out this part of the program one has to prove a certain technical result. The other part of the program is a philosophical part. It is concerned with philosophical questions that are the real aim of the program. To carry out this part one, basically, has to show why the technical part answers the philosophical questions one wanted to have answered. Hilbert (...)
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  • Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl.Gottlob Frege - 1884 - Wittgenstein-Studien 3 (2):993-999.
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  • (1 other version)Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.
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  • Logical constants across varying types.Johan van Benthem - 1989 - Notre Dame Journal of Formal Logic 30 (3):315-342.
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  • Singular terms.Bob Hale - 1994 - In Brian F. McGuinness & Gianluigi Oliveri (eds.), The Philosophy of Michael Dummett. Dordrecht, Netherland: Kluwer Academic Publishers. pp. 17--44.
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  • (1 other version)Inexpressible properties and propositions.Thomas Hofweber - 2008 - In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. pp. 155-206.
    Everyone working on metaphysical questions about properties or propositions knows the reaction that many non-philosophers, even nonmetaphysicians, have to such questions. Even though they agree that Fido is a dog and thus has the property (or feature or characteristic) of being a dog, it seems weird, suspicious, or confused to them to now ask what that thing, the property of being a dog, is. The same reservations do not carry over to asking what this thing, Fido, is. There is a (...)
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  • (2 other versions)On a Generalization of Quantifiers.A. Mostowski - 1960 - Journal of Symbolic Logic 25 (4):365-366.
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