From Dedekind to Gödel

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Alain Badiou

*The Concept of Model* is the first of Alain Badiou’s early books to be translated fully into English. With this publication English readers finally have access to a crucial work by one of the world’s greatest living philosophers. Written on the eve of the events of May 1968, *The Concept of Model* provides a solid mathematical basis for a rationalist materialism. Badiou’s concept of model distinguishes itself from both logical positivism and empiricism by introducing a new form of break into the hitherto implicated realms of science and ideology, and establishing a new way to understand their disjunctive relation. Readers coming to Badiou for the first time will be struck by the clarity and force of his presentation, and the key place that *The Concept of Model* enjoys in the overall development of Badiou’s thought will enable readers already familiar with his work to discern the lineaments of his later radical developments. This translation is accompanied by a stunning new interview with Badiou in which he elaborates on the connections between his early and most recent thought.

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Amy C. Edmondson

Edmondson clarifies Buckminster Fuller's synergetic geometry in conventional language and mathematics and illuminates his effort to employ synergetics as a strategy for human survival. Updated author Preface and new Foreword by J. Baldwin.

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Douglas R. Hofstadter

Winner of the Pulitzer Prize A metaphorical fugue on minds and machines in the spirit of Lewis Carroll Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

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Chikara Sasaki

Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.