Philosophy of Geometry from Riemann to Poincaré

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Publisher : Springer Science & Business Media
ISBN 13 : 9400999097
Total Pages : 473 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Philosophy of Geometry from Riemann to Poincaré by : R. Torretti

Download or read book Philosophy of Geometry from Riemann to Poincaré written by R. Torretti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincaré's Philosophy

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Publisher : Open Court Publishing
ISBN 13 : 9780812694352
Total Pages : 276 pages
Book Rating : 4.6/5 (943 download)

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Book Synopsis Poincaré's Philosophy by : Elie Zahar

Download or read book Poincaré's Philosophy written by Elie Zahar and published by Open Court Publishing. This book was released on 2001 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincaré, Philosopher of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9401787808
Total Pages : 195 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Poincaré, Philosopher of Science by : María de Paz

Download or read book Poincaré, Philosopher of Science written by María de Paz and published by Springer Science & Business Media. This book was released on 2014-04-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conventionalism

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Publisher : Cambridge University Press
ISBN 13 : 1107320410
Total Pages : 301 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Conventionalism by : Yemima Ben-Menahem

Download or read book Conventionalism written by Yemima Ben-Menahem and published by Cambridge University Press. This book was released on 2006-04-21 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Henri Poincaré

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Publisher : Princeton University Press
ISBN 13 : 0691152713
Total Pages : 608 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Henri Poincaré by : Jeremy Gray

Download or read book Henri Poincaré written by Jeremy Gray and published by Princeton University Press. This book was released on 2013 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.

Science and Hypothesis

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Publisher : Prabhat Prakashan
ISBN 13 :
Total Pages : 169 pages
Book Rating : 4./5 ( download)

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Book Synopsis Science and Hypothesis by : Henri Poincare

Download or read book Science and Hypothesis written by Henri Poincare and published by Prabhat Prakashan. This book was released on 2023-10-01 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and Hypothesis by Henri Poincaré is a seminal work in the philosophy of science that explores the nature of scientific reasoning, the role of hypotheses, and the limits of knowledge. Poincaré challenges conventional views on scientific methodology, offering insightful reflections on the process of discovery and the relationship between theory and observation. Key Points: Poincaré critically examines the foundations of scientific inquiry, questioning the notion of absolute certainty and highlighting the inherent uncertainty and provisional nature of scientific knowledge, emphasizing the role of intuition, creativity, and imagination in scientific breakthroughs. The book delves into the concept of hypothesis, exploring its construction, testing, and revision within the scientific framework, while also addressing the significance of simplicity, coherence, and empirical evidence in the formulation of scientific theories. Science and Hypothesis is a thought-provoking work that challenges readers to reconsider their assumptions about the nature of scientific inquiry, offering a nuanced understanding of the interplay between theory and observation, and the ongoing quest for knowledge and understanding in the scientific endeavor.

Poincaré and the Philosophy of Mathematics

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Publisher : Springer
ISBN 13 : 1349221198
Total Pages : 218 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis Poincaré and the Philosophy of Mathematics by : Janet M. Folina

Download or read book Poincaré and the Philosophy of Mathematics written by Janet M. Folina and published by Springer. This book was released on 2016-07-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Value of Science

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Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Value of Science by : Henri Poincaré

Download or read book The Value of Science written by Henri Poincaré and published by . This book was released on 1907 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Value of Science

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Author :
Publisher : Modern Library
ISBN 13 : 0307824063
Total Pages : 671 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis The Value of Science by : Henri Poincare

Download or read book The Value of Science written by Henri Poincare and published by Modern Library. This book was released on 2012-09-12 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than any other writer of the twentieth century, Henri Poincaré brought the elegant, but often complicated, ideas about science and mathematics to the general reader. A genius who throughout his life solved complex mathematical calculations in his head, and a writer gifted with an inimitable style, Poincaré rose to the challenge of interpreting the philosophy of science to scientists and nonscientists alike. His lucid and welcoming prose made him the Carl Sagan of his time. This volume collects his three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908).

Science and Hypothesis

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Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Science and Hypothesis by : Henri Poincaré

Download or read book Science and Hypothesis written by Henri Poincaré and published by . This book was released on 1905 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Henri Poincaré

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691242038
Total Pages : 608 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Henri Poincaré by : Jeremy Gray

Download or read book Henri Poincaré written by Jeremy Gray and published by Princeton University Press. This book was released on 2022-12-13 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.

Science and Hypothesis

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Author :
Publisher : Bloomsbury Publishing
ISBN 13 : 1350026751
Total Pages : 209 pages
Book Rating : 4.3/5 (5 download)

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Book Synopsis Science and Hypothesis by : Henri Poincaré

Download or read book Science and Hypothesis written by Henri Poincaré and published by Bloomsbury Publishing. This book was released on 2017-11-16 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and Hypothesis is a classic text in history and philosophy of science. Widely popular since its original publication in 1902, this first new translation of the work in over a century features unpublished material missing from earlier editions. Addressing errors introduced by Greenstreet and Halsted in their early 20th-century translations, it incorporates all the changes, corrections and additions Poincaré made over the years. Taking care to update the writing for a modern audience, Poincaré's ideas and arguments on the role of hypotheses in mathematics and in science become clearer and closer to his original meaning, while David J. Stump's introduction gives fresh insights into Poincaré's philosophy of science. By approaching Science and Hypothesis from a contemporary perspective, it presents a better understanding of Poincare's hierarchy of the sciences, with arithmetic as the foundation, geometry as the science of space, then mechanics and the rest of physics. For philosophers of science and scientists working on problems of space, time and relativity, this is a much needed translation of a ground-breaking work which demonstrates why Poincaré is still relevant today.

The Scientific Legacy of Poincare

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Publisher : American Mathematical Soc.
ISBN 13 : 082184718X
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Scientific Legacy of Poincare by : Éric Charpentier

Download or read book The Scientific Legacy of Poincare written by Éric Charpentier and published by American Mathematical Soc.. This book was released on 2010 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.

Science and Method

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Publisher : Courier Corporation
ISBN 13 : 0486165701
Total Pages : 308 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Science and Method by : Henri Poincaré

Download or read book Science and Method written by Henri Poincaré and published by Courier Corporation. This book was released on 2013-02-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Last Thoughts

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Publisher : MultiMedia Publishing
ISBN 13 : 6060332919
Total Pages : 99 pages
Book Rating : 4.0/5 (63 download)

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Book Synopsis Last Thoughts by : Henri Poincaré

Download or read book Last Thoughts written by Henri Poincaré and published by MultiMedia Publishing. This book was released on 1900 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Science and Convention

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Publisher : Elsevier
ISBN 13 : 1483147053
Total Pages : 248 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Science and Convention by : Jerzy Giedymin

Download or read book Science and Convention written by Jerzy Giedymin and published by Elsevier. This book was released on 2014-05-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and Convention: Essays on Henri Poincare's Philosophy of Science and The Conventionalist Tradition contains essays concerned with Henri Poincare's philosophy of science, physics in particular, and with the conventionalist tradition in philosophy that he revived and reshaped, simultaneously with, but independently of, Pierre Duhem. Separating five essays as chapters, the book discusses the main ideas of the philosophy (Essays 1 and 5), traces at least some of its historical background (Essays 1, 2, and 3), and provides some of its developments (Essays 2 and 4).

The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method

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Author :
Publisher : DigiCat
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.8/5 (596 download)

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Book Synopsis The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method by : Henri Poincaré

Download or read book The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method written by Henri Poincaré and published by DigiCat. This book was released on 2022-08-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.