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Mathematics; Philosophy

Most popular at the top

  • From Kant to Hilbert, 2by William Bragg Ewald

    Oxford University Press, UK 2005; US$ 98.99

    This 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...

  • From Kant to Hilbert, 1by William Bragg Ewald

    Oxford University Press, UK 2005; US$ 98.99

    This 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...

  • A Structural Account of Mathematicsby Charles S. Chihara

    Oxford University Press, UK 2007; US$ 45.00

    Charles 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...

  • Wittgenstein, Finitism, and the Foundations of Mathematicsby Mathieu Marion

    Oxford University Press 2008; US$ 44.99

    Mathieu Marion traces the development of Wittgenstein's thinking from the 1920s through to the 1950s, in the context of the mathematical and philosophical work of the time, making sense of ideas that have often been misunderstood. He shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy.... more...

  • MATHEMATICS AND THE NATURAL SCIENCESby Giuseppe Longo

    World Scientific Publishing Company 2011; US$ 140.00

    This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked... more...

  • Plato's Problemby Marco Panza; Andrea Sereni

    Palgrave Macmillan 2013; US$ 32.00

    What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism. more...

  • A Systemic Perspective on Cognition and Mathematicsby Jeffrey Yi-Lin Forrest

    Taylor and Francis 2013; US$ 79.95

    This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development... more...

  • The Argument of Mathematicsby Andrew Aberdein; Ian J Dove

    Springer 2013; US$ 179.00

    Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical... more...

  • Mathematics, Computer Science and Logic - A Never Ending Storyby Peter Paule

    Springer 2013; US$ 109.00

    This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of these concepts, the essays place strong emphasis on developments still to come. The book originated in a 2002 symposium celebrating... more...

  • Proofs and Refutationsby Imre Lakatos; John Worrall; Elie Zahar

    Cambridge University Press 1976; US$ 44.00

    Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics. more...