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Frege's Notations: What They Are and How They Mean

London and Basingstoke: Palgrave-Macmillan (2011)

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  1. Essays on the Theory of Numbers: I. Continuity and Irrational Numbers, Ii. The Nature and Meaning of Numbers.Richard Dedekind - 1901 - Chicago, IL, USA: Open Court.
    Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers.
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  • Logical Investigations of Predication Theory and the Problem of Universals.Nino B. Cocchiarella - 1990 - Linguistics and Philosophy 13 (2):265-271.
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  • (1 other version)A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
    This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: _An Introduction to Modal Logic_ and _A Companion to Modal Logic_. _A New Introduction to Modal Logic_ is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes (...)
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  • Frege and the Logic of Sense and Reference.Kevin C. Klement - 2001 - New York: Routledge.
    This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...)
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  • Logic as Calculus and Logic as Language.Jean Van Heijenoort - 1967 - Synthese 17 (1):324-330.
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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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  • Sameness and substance.David Wiggins - 1980 - Cambridge: Harvard University Press.
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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's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.
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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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  • What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
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  • Frege: Making Sense.Michael Beaney - 1996 - London: Duckworth.
    In this investigation into Frege's philosophical views as a whole, the central focus is on his notion of sense, the conception that has proved most influential in the development of analytical philosophy, and around which the main problems of interpretation revolve.
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  • (1 other version)Reason’s Nearest Kin.Michael Potter - 2000 - History and Philosophy of Logic 21 (3):231-234.
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  • Frege: Sense and Reference one Hundred Years later.Petr Kotatko & John Biro (eds.) - 1995 - Dordrecht, Netherland: Kluwer Academic Publishers.
    Gottlob Frege's brief article Uber Sinn und Bedeutung (On Sense and Reference) has come to be seen, in the century since its publication in 1892, as one of the seminal texts of analytic philosophy. It, along with the rest of Frege's writings on logic and mathematics, came to mark out a whole new domain of inquiry and to set the agenda for it. This volume bears witness to the continuing importance and influence of that agenda. It contains original papers written (...)
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  • Frege explained: from arithmetic to analytic philosophy.Joan Weiner - 2004 - Chicago: Open Court.
    Frege's life and character -- The project -- Frege's new logic -- Defining the numbers -- The reconception of the logic, I-"Function and concept" -- The reconception of the logic, II- "On sense and meaning" and "on concept and object" -- Basic laws, the great contradiction, and its aftermath -- On the foundations of geometry -- Logical investigations -- Frege's influence on recent philosophy.
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  • Frege's philosophy of mathematics.William Demopoulos (ed.) - 1995 - Cambridge: Harvard University Press.
    Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's (...)
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  • The Foundations of Frege’s Logic.Pavel Tichý - 1988 - New York: de Gruyter.
    Chapter One: Constructions. Entities, constructions, and functions When one travels from Los Angeles to New York, going, say, by way of St. Louis, Chicago, ...
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  • (1 other version)Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
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  • Frege's unofficial arithmetic.Agustín Rayo - 2002 - Journal of Symbolic Logic 67 (4):1623-1638.
    I show that any sentence of nth-order (pure or applied) arithmetic can be expressed with no loss of compositionality as a second-order sentence containing no arithmetical vocabulary, and use this result to prove a completeness theorem for applied arithmetic. More specifically, I set forth an enriched second-order language L, a sentence A of L (which is true on the intended interpretation of L), and a compositionally recursive transformation Tr defined on formulas of L, and show that they have the following (...)
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  • Reading the begriffsschrift.George Boolos - 1985 - Mind 94 (375):331-344.
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  • Frege’s Conception of Numbers as Objects.Crispin Wright - 1983 - Critical Philosophy 1 (1):97.
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  • (2 other versions)Sameness and Substance.David Wiggins - 1981 - Philosophical Quarterly 31 (124):260-268.
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  • (1 other version)Frege: Philosophy of Mathematics. [REVIEW]William Demopoulos - 1993 - Canadian Journal of Philosophy 23 (3):477-497.
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  • (1 other version)Essays on the Theory of Numbers.R. Dedekind - 1903 - The Monist 13:314.
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