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Author: Janet M. Folina
Publisher: Springer
ISBN: 1349221198
Category : Mathematics
Languages : en
Pages : 218
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Book Description
This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics. Although Poincar is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not highly regarded. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincar's critiques are not based on misunderstanding; rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivism.
Author: Janet M. Folina
Publisher: Springer
ISBN: 1349221198
Category : Mathematics
Languages : en
Pages : 218
Get Book Here
Book Description
This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics. Although Poincar is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not highly regarded. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincar's critiques are not based on misunderstanding; rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivism.
Author: Elie Zahar
Publisher: Open Court Publishing
ISBN: 9780812694352
Category : Biography & Autobiography
Languages : en
Pages : 276
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Book Description
Henri Poincare (1854–1912) was one of the greatest mathematicians and philosophers of all time. He founded topology and made important contributions to theoretical physics. Yet despite his numerous achievements Poincare never constructed a systematic philosophy. In this book, Elie Zahar presents Poincare’s work for the first time as a unified system of thought.
Author: María de Paz
Publisher: Springer Science & Business Media
ISBN: 9401787808
Category : Science
Languages : en
Pages : 195
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Book Description
This volume presents a selection of papers from the Poincaré Project of the Center for the Philosophy of Science, University of Lisbon, bringing together an international group of scholars with new assessments of Henri Poincaré's philosophy of science—both its historical impact on the foundations of science and mathematics, and its relevance to contemporary philosophical inquiry. The work of Poincaré (1854-1912) extends over many fields within mathematics and mathematical physics. But his scientific work was inseparable from his groundbreaking philosophical reflections, and the scientific ferment in which he participated was inseparable from the philosophical controversies in which he played a pre-eminent part. The subsequent history of the mathematical sciences was profoundly influenced by Poincaré’s philosophical analyses of the relations between and among mathematics, logic, and physics, and, more generally, the relations between formal structures and the world of experience. The papers in this collection illuminate Poincaré’s place within his own historical context as well as the implications of his work for ours.
Author: Janet M. Folina
Publisher: Palgrave Macmillan
ISBN: 9780333558324
Category : Mathematics
Languages : en
Pages : 202
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Book Description
This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics. Although Poincar is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not highly regarded. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincar's critiques are not based on misunderstanding; rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivism.
Author: R. Torretti
Publisher: Springer Science & Business Media
ISBN: 9400999097
Category : Science
Languages : en
Pages : 473
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Book Description
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
Author: Janet Folina
Publisher: Palgrave Macmillan
ISBN: 9780312080525
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Author: Yemima Ben-Menahem
Publisher: Cambridge University Press
ISBN: 1107320410
Category : Philosophy
Languages : en
Pages : 301
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Book Description
The daring idea that convention - human decision - lies at the root both of necessary truths and much of empirical science reverberates through twentieth-century philosophy, constituting a revolution comparable to Kant's Copernican revolution. This book provides a comprehensive study of Conventionalism. Drawing a distinction between two conventionalist theses, the under-determination of science by empirical fact, and the linguistic account of necessity, Yemima Ben-Menahem traces the evolution of both ideas to their origins in Poincaré's geometric conventionalism. She argues that the radical extrapolations of Poincaré's ideas by later thinkers, including Wittgenstein, Quine, and Carnap, eventually led to the decline of conventionalism. This book provides a fresh perspective on twentieth-century philosophy. Many of the major themes of contemporary philosophy emerge in this book as arising from engagement with the challenge of conventionalism.
Author: Henri Poincaré
Publisher: Courier Corporation
ISBN: 0486165701
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Classic account of basic methodology and psychology of scientific discovery explains how scientists analyze and choose their working facts and explores the nature of experimentation, theory, and the mind. 1914 edition.
Author: Henri Poincaré
Publisher: DigiCat
ISBN:
Category : Philosophy
Languages : en
Pages : 556
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Book Description
DigiCat Publishing presents to you this special edition of "The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method" by Henri Poincaré. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
Author: Henri Poincaré
Publisher: MultiMedia Publishing
ISBN: 6060332919
Category : Science
Languages : en
Pages : 99
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Book Description
Henri Poincaré is a mathematician, physicist, philosopher and engineer, born April 29, 1854 in Nancy and died July 17, 1912 in Paris. He has carried out works of major importance in optics and in infinitesimal calculus. His advances on the problem of the three bodies make him a founder of the qualitative study of systems of differential equations and chaos theory; he is also a major precursor of the theory of special relativity and the theory of dynamical systems. Henri Poincaré is considered one of the last great universal scholars, mastering all branches of mathematics of his time and some branches of physics. This book gathers here various articles and lectures that Henri Poincaré himself intended to form the fourth volume of his works of philosophy of science. All the previous ones had already appeared in this collection. It would be useless to recall their prodigious success. The most illustrious of modern mathematicians has been an eminent philosopher, one of those whose books profoundly influence human thought. It is probable that if Henri Poincaré himself had published this volume, he would have modified certain details, removed some repetitions. But it seemed to us that the respect due to the memory of this great death forbade any editing of his text.
