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#### Towards a Philosophy of Real Mathematics

Cambridge University Press 2003; US$ 56.00Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics. more...

#### 18 Unconventional Essays on the Nature of Mathematics

Springer New York 2006; US$ 89.99This book collects some of the most interesting recent writings tackling the problem of giving an account of the nature, purpose, and justification of mathematics as actually done by real live mathematicians. What is the nature of the objects being studied? What determines the directions and styles in which mathematics progresses (or, perhaps, degenerates)?... more...

#### Visualization, Explanation and Reasoning Styles in Mathematics

Springer 2006; US$ 199.00This 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...

#### High-Dimensional Chaotic and Attractor Systems

Springer 2007; US$ 259.00Details prediction and control of high-dimensional chaotic and attractor systems of real life. This book provides a scientific tool that enables the actual performance of competitive research in high-dimensional chaotic and attractor dynamics. It deals with phase synchronization in high-dimensional chaotic systems. more...

#### Philosophy of Mathematics

Taylor and Francis 2010; US$ 40.95In 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$ 269.00Collects 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...

#### Accurate Clock Pendulums

Oxford University Press, UK 2004; US$ 144.99Almost all of a pendulum clock's accuracy resides in its pendulum. If the pendulum is accurate, the clock will be accurate. In this book, the author describes how to make a more accurate pendulum or pendulum clock. All scientific aspects of the pendulum design and operation are explained in simple terms and backed up with experimental data. - ;The... more...

#### The Limits of Abstraction

Oxford University Press 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...

#### Essays on the Foundations of Mathematics by Moritz Pasch

Springer 2010; US$ 209.00Moritz 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...

#### The Principles of Mathematics Revisited

Cambridge University Press 1996; US$ 44.00Hintikka proposes a new logic and uses it to explore the foundations of mathematics. more...