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Mathematics; Philosophy

  • 80 Years of Zentralblatt MATHby Olaf Teschke; Bernd Wegner; Dirk Werner

    Springer 2011; US$ 29.95

    Founded in 1931 by Otto Neugebauer as the printed documentation service "Zentralblatt fur Mathematik und ihre Grenzgebiete", Zentralblatt MATH (ZBMATH) celebrates its 80th anniversary in 2011. Today it is the most comprehensive and active reference database in pure and applied mathematics worldwide. Many prominent mathematicians have been... more...

  • The Arche Papers on the Mathematics of Abstractionby Roy T. Cook

    Springer 2007; US$ 269.00

    Collects together important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. This book focuses on extending the Neo-Fregean treatment to mathematics, and provides a test of the scope and limits of the neo-logicist project. more...

  • The Argument of Mathematicsby Andrew Aberdein; Ian J Dove

    Springer 2013; US$ 179.00

    Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical... more...

  • Berkeley's Philosophy of Mathematicsby Douglas M. Jesseph

    University of Chicago Press 2010; US$ 30.00

    In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics... more...

  • The Best Writing on Mathematics 2011by Mircea Pitici; Freeman Dyson

    Princeton University Press 2011; US$ 19.95

    This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them.... more...

  • Braucht die Mathematik eine Grundlegung?by Felix Mühlhölzer

    Vittorio Klostermann 2014; US$ 221.10

    Für Wittgenstein haben als 'grundlegend' gedachte mathematische Bemühungen, wie sie sich in den logizistischen Systemen Freges und Russells, der Mengentheorie und der nach Konsistenzbeweisen für solche Systeme suchenden Beweistheorie Hilberts zeigen, keineswegs einen nennenswerten grundlegenden Charakter, sondern es handelt sich bei ihnen um normale... more...

  • Carnap, Tarski, and Quine at Harvardby Greg Frost-Arnold

    Open Court 2013; US$ 49.95

    During the academic year 1940-1941, several giants of analytic philosophy congregated at Harvard: Bertrand Russell, Alfred Tarski, Rudlof Carnap, W. V. Quine, Carl Hempel, and Nelson Goodman were all in residence. This group held regular private meetings, with Carnap, Tarski, and Quine being the most frequent attendees. Carnap, Tarski, and Quine... more...

  • Conceptual Roots of Mathematicsby J.R. Lucas

    Taylor and Francis 2002; US$ 49.95

    The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. Lucas shows us that the philosophy of mathematics is actually at the heart of the study of epistemology and metaphysics. more...

  • Einführung in die mathematische Philosophieby Bertrand Russell

    Felix Meiner Verlag 2009; US$ 44.30

    Hauptbeschreibung Dem Versuch, die These zu stützen, daß Logik und Mathematik eins seien, hat Russell mehrere Bücher gewidmet, unter anderem das dreibändige, gemeinsam mit A. N. Whitehead verfaßte Werk "Principia Mathematica" (1910-1913). Die "Einführung in die mathematische Philosophie" faßt die Ergebnisse dieser Untersuchungen zusammen, ohne Kenntnisse... more...

  • Essays on the Foundations of Mathematics by Moritz Paschby Stephen Pollard

    Springer 2010; US$ 209.00

    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... more...