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Mathematical Philosophy
De Gruyter 1976; US$ 133.00New Elements of Mathematics by Charles S. Peirce : Mathematical Philosophy more...
Platonism and Anti-Platonism in Mathematics
Oxford University Press 1998; US$ 44.99A 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...
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...
Philosophy of Mathematics
Taylor and Francis 2012; US$ 36.95Philosophy 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...
A Structural Account of Mathematics
Oxford University Press, UK 2007; US$ 45.00Charles Chihara presents 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 to assume... 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...
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...
Proof and Knowledge in Mathematics
Taylor and Francis 1992; US$ 148.00These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether... more...
From Kant to Hilbert, 2
Oxford University Press, UK 2005; US$ 98.99This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available... more...
