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Philosophy of Mathematics Books

You are currently browsing 1–10 of 23 new and published books in the subject of Philosophy of Mathematics — sorted by publish date from newer books to older books.

For books that are not yet published; please browse forthcoming books.

New and Published Books

  1. Mathematics and the Image of Reason

    By Mary Tiles

    Series: Philosophical Issues in Science

    A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic....

    Published August 14th 2014 by Routledge

  2. Platonism, Naturalism, and Mathematical Knowledge

    By James Robert Brown

    Series: Routledge Studies in the Philosophy of Science

    This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing...

    Published July 2nd 2014 by Routledge

  3. Proof and Knowledge in Mathematics

    Edited by Michael Detlefsen

    These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical...

    Published May 29th 2014 by Routledge

  4. The Collected Papers of Bertrand Russell, Volume 5

    Toward Principia Mathematica, 1905–08

    By Bertrand Russell

    Edited by Gregory H. Moore

    Series: The Collected Papers of Bertrand Russell

    This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06....

    Published January 20th 2014 by Routledge

  5. Paradoxes of the Infinite (Routledge Revivals)

    By Bernard Bolzano

    Series: Routledge Revivals

    Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction...

    Published November 6th 2013 by Routledge

  6. Wittgenstein's Philosophy of Mathematics

    By Pasquale Frascolla

    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...

    Published October 30th 2013 by Routledge

  7. The Textual Genesis of Wittgenstein’s Philosophical Investigations

    Edited by Nuno Venturinha

    Series: Routledge Studies in Twentieth Century Philosophy

    Sixty years after its first edition, there is an increasing consensus among scholars that the work posthumously published as Philosophical Investigations represents something that is far from a complete picture of Wittgenstein’s second book project. G.H. von Wright’s seminal research on the...

    Published June 25th 2013 by Routledge

  8. The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals)

    By Hilary Putnam

    First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the...

    Published November 18th 2012 by Routledge

  9. Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

    By Donald Gillies

    First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for...

    Published October 14th 2012 by Routledge

  10. The Price Index and its Extension

    A Chapter in Economic Measurement

    By Sydney N. Afriat

    Series: Routledge Frontiers of Political Economy

    The book is not an unrestricted survey engaging a vast and repetative literature, but a systematic treatise within clear boundaries, largely a document of Afriat's own work. The original motive of the work is to elaborate a concept of what really is a price index, which, despite some kind of...

    Published September 30th 2012 by Routledge