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  • A Mathematical Prelude to the Philosophy of Mathematics

    Series series Philosophy and Religion (R0)
    This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give ... Read more

    $49.49 USD

  • Philosophical Introduction to Set Theory

    Series series Dover Books on Mathematics
    The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues. Rather than focusing on intuitionist and constructive alternatives to the Cantorian ... Read more

    $11.59 USD

  • Ernst Schröder on Algebra and Logic

    Edited by Stephen Pollard ...
    Series series Philosophy and Religion (R0)
    This volume offers English translations of three early works by Ernst Schröder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C. S. Peirce. Today he still engages the sympathetic interest of logicians and philosophers.The works translated ... Read more

    $143.09 USD

  • Ten Days that Changed the Nation

    The Making of Modern Britain

    Sometimes it is not big events or great men or women that change history. Often, an apparently trivial occasion or insignificant decision changes everything.Stephen Pollard's alternative history of the past sixty years examines ten such crucial days in our history. None of them are obviously historic. But each of them changed the country - some for good, others for ill.Combining history, analysis, ... Read more

    $10.99 USD

  • Essays on the Foundations of Mathematics by Moritz Pasch

    Edited by Stephen Pollard ...
    Series series Mathematics and Statistics (R0)
    Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that geometry and, more surprisingly, number theory are branches of empirical science; he provides ... Read more

    $89.09 USD

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  • Godel's Proof

    Series series Routledge Classics
    'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' – The GuardianIn 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on ... Read more

    $25.99 USD

  • Meaning and Necessity - A Study in Semantics and Modal Logic

    by Rudolf Carnap ...
    The main purpose of this book is the development of a new method for the semantical analysis of meaning, that is, a new method for analyzing and describing the meanings of linguistic expressions. This method, called the method of extension and intension, is developed by modifying and extending certain customary concepts, especially those of class and property. The method will be contrasted with ... Read more

    $9.99 USD or Free with Kobo Plus

  • The Birth of Model Theory

    Löwenheim's Theorem in the Frame of the Theory of Relatives

    Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result ... Read more

    $82.79 USD

  • From Mathematics to Philosophy (Routledge Revivals)

    by Hao Wang ...
    First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an ... Read more

    $54.99 USD

  • Gödel's Proof

    An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic: " An excellent nontechnical account." — Bulletin of the American Mathematical SocietyIn 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in ... Read more

    $12.99 USD or Free with Kobo Plus

  • A History of Modern Britain

    by Andrew Marr ...
    A History of Modern Britain by Andrew Marr confronts head-on the victory of shopping over politics. This edition also includes an extra chapter charting the course from Blair to Brexit.It tells the story of how the great political visions of New Jerusalem or a second Elizabethan Age, rival idealisms, came to be defeated by a culture of consumerism, celebrity and self-gratification. In each decade, ... Read more

    $18.89 USD

  • How to Think Like a Mathematician

    A Companion to Undergraduate Mathematics

    by Kevin Houston ...
    Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, ... Read more

    $38.59 USD