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Mathematics; Philosophy

  • The Argument of Mathematicsby Andrew Aberdein; Ian J. Dove

    Springer Netherlands 2013; US$ 151.77

    This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification. more...

  • Platonism and Anti-Platonism in Mathematicsby Mark Balaguer

    Oxford University Press 1998; US$ 49.99

    In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism... more...

  • Philosophie der Mathematikby Thomas Bedürftig; Roman Murawski

    De Gruyter 2010; US$ 140.00

    Dieses Werk gibt eine überwiegend elementare Einführung in philosophische Probleme und Hintergründe des mathematischen Denkens und Sprechens, Lehrens und Lernens. Sie wendet sich an Lehrende und Studierende der Mathematik und der Philosophie. Ausgangspunkt und immer wieder Bezugspunkt sind die reellen Zahlen. In pointierter Weise werden... more...

  • Philosophy of Mathematicsby Paul Benacerraf; Hilary Putnam

    Cambridge University Press 1984; US$ 68.00

    Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers. more...

  • Networking of Theories as a Research Practice in Mathematics Educationby Angelika Bikner-Ahsbahs; Susanne Prediger

    Springer International Publishing 2014; US$ 101.56

    How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions... more...

  • Philosophy of Mathematicsby James Robert Brown

    Taylor and Francis 2005; US$ 36.95

    Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs... more...

  • Philosophy of Mathematicsby James Robert Brown

    Taylor and Francis 2010; US$ 40.95

    In his long-awaited new edition of Philosophy of Mathematics , James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?   This clear and engaging book takes... more...

  • A Structural Account of Mathematicsby Charles S. Chihara

    Clarendon Press 2003; US$ 62.99

    Charles Chihara's new book develops a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. In particular, this perspective allows Chihara to show that, in order to understand how mathematical systems are applied in science, it is not necessary... more...

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

    Springer Netherlands 2007; US$ 198.47

    InSeptember2000theArchéCentrelauncheda ve-yearresearchprojecten- tled the Logical and Metaphysical Foundations of Classical Mathematics. Its goal was to study the prospects, philosophical and technical, for abstractionist foundations for the classical mathematical theories of the natural, real and complex numbers and standard set theory. Funding was... more...

  • Towards a Philosophy of Real Mathematicsby David Corfield

    Cambridge University Press 2003; US$ 37.00

    Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics. more...