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#### 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...

#### From Kant to Hilbert, 1

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...

#### 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...

#### Wittgenstein, Finitism, and the Foundations of Mathematics

Oxford University Press 2008; US$ 44.99Mathieu 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 SCIENCES

World Scientific Publishing Company 2011; US$ 140.00This 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 Problem

Palgrave Macmillan 2013; US$ 32.00What 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 Mathematics

Taylor and Francis 2013; US$ 79.95This 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 Mathematics

Springer 2013; US$ 179.00Written 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 Story

Springer 2013; US$ 109.00This 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.Â The book originated in a 2002 symposium celebrating... more...

#### Proofs and Refutations

Cambridge University Press 1976; US$ 44.00Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics. more...