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  1. Wittgenstein, finitism, and the foundations of mathematics.Mathieu Marion - 1998 - New York: Oxford University Press.
    This pioneering book demonstrates the crucial importance of Wittgenstein's philosophy of mathematics to his philosophy as a whole. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations.
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  • Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
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  • An introduction to Wittgenstein's Tractatus.Gertrude Elizabeth Margaret Anscombe - 1967 - South Bend, Ind.: St. Augustine's Press.
    Anscombe guides us through the Tractatus and, thereby, Wittgenstein's early philosophy as a whole. She shows in particular how his arguments developed out of the discussions of Russell and Frege. This reprint is of the fourth, corrected edition.
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  • An Introduction to Wittgenstein's Tractatus.[author unknown] - 1961 - Les Etudes Philosophiques 16 (2):239-239.
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  • An Introduction to Wittgenstein's Tractatus.[author unknown] - 1964 - British Journal for the Philosophy of Science 14 (56):359-366.
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  • The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
    First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
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  • Frank Ramsey and the Realistic Spirit.Steven Methven - 2014 - London and Basingstoke: Palgrave Macmillan.
    This book attempts to explicate and expand upon Frank Ramsey's notion of the realistic spirit. In so doing, it provides a systematic reading of his work, and demonstrates the extent of Ramsey's genius as evinced by both his responses to the Tractatus Logico-Philosophicus , and the impact he had on Wittgenstein's later philosophical insights.
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  • Generality, truth functions, and expressive capacity in the tractatus.Scott Soames - 1983 - Philosophical Review 92 (4):573-589.
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  • The Foundations of Mathematics and other Logical Essays.Frank Plumpton Ramsey, R. B. Braithwaite & G. E. Moore - 1931 - Mind 40 (160):476-482.
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  • The new Wittgenstein: A critique.Ian Proops - 2001 - European Journal of Philosophy 9 (3):375–404.
    A critique of Cora Diamond's influential approach to reading Wittgenstein's Tractatus. According to Diamond, the Tractatus contains no substantive philosophical theses, but is rather merely an especially subtle and sophisticated exercise in the unmasking of nonsense. I argue that no remotely convincing case for this interpretive thesis has yet been made--either by Diamond herself, or by the numerous defenders of this so-called "resolute" reading (so-called by those who wish to style themselves as resolute; their opponents tend to reject this characterization (...)
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  • I.—Wittgenstein's lectures in 1930–33.G. E. Moore - 1955 - Mind 64 (253):1-27.
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  • Wittgenstein, Finitism, and the Foundations of Mathematics.Paolo Mancosu - 2001 - Philosophical Review 110 (2):286.
    It is reported that in reply to John Wisdom’s request in 1944 to provide a dictionary entry describing his philosophy, Wittgenstein wrote only one sentence: “He has concerned himself principally with questions about the foundations of mathematics”. However, an understanding of his philosophy of mathematics has long been a desideratum. This was the case, in particular, for the period stretching from the Tractatus Logico-Philosophicus to the so-called transitional phase. Marion’s book represents a giant leap forward in this direction. In the (...)
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  • The power and the limits of Wittgenstein's N operator.James W. McGray - 2006 - History and Philosophy of Logic 27 (2):143-169.
    The power of Wittgenstein's N operator described in the Tractatus is that every proposition which can be expressed in the Russellian variant of the predicate calculus familiar to him has an equivalent proposition in an extended variant of his N operator notation. This remains true if the bound variables are understood in the usual inclusive sense or in Wittgenstein's restrictive exclusive sense. The problematic limit of Wittgenstein's N operator comes from his claim that symbols alone reveal the logical status of (...)
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  • Analysis of Quantifiers in Wittgenstein’s Tractatus: A Critical Survey.Dale Jacquette - 2001 - History of Philosophy & Logical Analysis 4 (1):191-202.
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  • Identity, variables, and impredicative definitions.K. Jaakko & J. Hintikka - 1956 - Journal of Symbolic Logic 21 (3):225-245.
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  • Wittgenstein's operator N.P. T. Geach - 1981 - Analysis 41 (4):168--171.
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  • Wittgenstein's Philosophy of Mathematics.Pasquale Frascolla - 1994 - Philosophical Quarterly 47 (189):552-555.
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  • Wittgenstein's Operator N.Robert J. Fogelin - 1982 - Analysis 42 (3):124 - 127.
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  • Wittgenstein's philosophy of mathematics.Pasquale Frascolla - 1994 - New York: Routledge.
    Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
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  • .Peter Geach - 1991
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  • Routledge Philosophy Guidebook to Wittgenstein and the Tractatus.Michael Morris - 2005 - Routledge.
    Written by a leading expert, this is the ideal guide to the only book Wittgenstein published during his lifetime, the _Tractatus Logico-Philosophicus_. Michael Morris makes sense of Wittgenstein’s brief but often cryptic text, highlighting its key themes. He introduces and analyzes: Wittgenstein’s life and the background to the _Tractatus_ the ideas and text of the _Tractatus_ the continuing importance of Wittgenstein's work to philosophy today, Wittgenstein is the most important twentieth-century philosopher in the English speaking world. This book will be (...)
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  • Wittgenstein's Apprenticeship with Russell.Gregory Landini - 2007 - Cambridge University Press.
    Wittgenstein's Tractatus has generated many interpretations since its publication in 1921, but over the years a consensus has developed concerning its criticisms of Russell's philosophy. In Wittgenstein's Apprenticeship with Russell, Gregory Landini draws extensively from his work on Russell's unpublished manuscripts to show that the consensus characterises Russell with positions he did not hold. Using a careful analysis of Wittgenstein's writings he traces the 'Doctrine of Showing' and the 'fundamental idea' of the Tractatus to Russell's logical atomist research program, which (...)
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  • Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
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  • Analysis of Quantifiers in Wittgenstein's Tractatus: A Critical Survey.Dale Jacquette - 2001 - History of Philosophy & Logical Analysis 4:191-202.
    Analysis of quantifiers in Wittgenstein's Tractatus. A critical survey In the Tractatus Logico-Philosophicus, Wittgenstein distinguishes between what can and cannot be said in any language by the general form of propositions. I explain Wittgenstein's method and discuss Robert J. Fogelin's criticism of what he takes to be the incompleteness of Wittgenstein's general form of propositions in his exposition of the 'Naive Constructivism of the Tractatus.' I argue that Fogelin's objection is mistaken, and that, contrary to Fogelin's claim, Wittgenstein's method when (...)
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  • Wittgenstein, Finitism, and the Foundations of Mathematics.Mathieu Marion - 1998 - Studia Logica 66 (3):432-434.
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  • Wittgenstein.R. Fogelin - 1982 - Tijdschrift Voor Filosofie 44 (3):561-562.
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