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Mathematics; Philosophy

Most popular at the top

  • Conceptual Roots of Mathematicsby J.R. Lucas

    Routledge 1999; US$ 155.00

    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...

  • Figures of Thoughtby David Reed

    Routledge 1994; US$ 130.00

    Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics. more...

  • Wittgenstein's Philosophy of Mathematicsby Pasquale Frascolla

    Routledge 1994; US$ 140.00

    In Wittgenstein's Philosophy of Mathematics Frascolla views the three phases of Wittgenstein's reflections on mathematics as a progressive whole, rather than as seperate entities. more...

  • Towards a Philosophy of Real Mathematicsby David Corfield

    Cambridge University Press 2003; US$ 49.00

    In this ambitious study, David Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics, and challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines. more...

  • Philosophy of Mathematicsby Robert Brown James

    Routledge 1999; US$ 36.95

    This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; and picture-proofs and Wittgenstein. more...

  • Proof And Knowledge In Mathematicsby Michael Detlefsen

    Taylor & Francis 1992; US$ 140.00

    Distinguished contributors tackle the main problem that arizes when considering an epistemology for mathematics, the nature and sources of mathematical justification. more...

  • Philosophy of Mathematics and Mathematical Practice in the Seventeenth Centuryby Paolo Mancosu

    Oxford University Press 1996; US$ 145.00

    The 17th century saw a dramatic development in mathematical theory and practice. This is an account of the foundational issues raised in the relationship between mathematical advances of the period and the philosophy of mathematics. more...

  • Platonism and Anti-Platonism in Mathematicsby Mark Balaguer

    Oxford University Press 1998; US$ 45.00

    A demonstration of the value of both platonism and anti-platonism in the solution of mathematical problems. The author solves the important problems associated with both of the views, and demonstrates that it is inherently impossible for us to have a valid argument for or against mathematical platonism. more...

  • What is Mathematics, Really?by Reuben Hersh

    Oxford University Press 2001; US$ 19.00

    Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context. more...

  • Visualization, Explanation and Reasoning Styles in Mathematicsby Paolo Mancosu; Klaus Frovin Jørgensen; Stig Andur Pedersen

    Springer 2005; US$ 179.00

    This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams, etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity?... more...