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Towards a Philosophy of Real Mathematics
Cambridge University Press 2003; US$ 50.00In 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...
Visualization, Explanation and Reasoning Styles in Mathematics
Springer 2006; US$ 159.99This 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,... more...
Philosophy of Mathematics
Taylor and Francis 2010; US$ 38.95In 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...
The Arche Papers on the Mathematics of Abstraction
Springer 2007; US$ 179.99Collects 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...
Harvey Friedman's Research on the Foundations of Mathematics
Elsevier Science 1985; US$ 128.75This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers. more...
The Limits of Abstraction
OUP Oxford 2008; US$ 29.98Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. <i>The Limits of Abstraction</i> breaks new ground both technically and philosophically.... more...
Philosophie der Mathematik
De Gruyter 2010; US$ 126.00An elementary introduction to the philosophy in mathematics. more...
Essays on the Foundations of Mathematics by Moritz Pasch
Springer 2010; US$ 129.99Moritz 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...
Foundational Theories of Classical and Constructive Mathematics
Springer 2011; US$ 109.99The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering... more...
Einführung in die mathematische Philosophie
Felix Meiner Verlag 2009; US$ 42.93Hauptbeschreibung 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...
