Philosophy Of Geometry From Riemann To Poincar
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Philosophy Of Geometry From Riemann To Poincar
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Author : R. Torretti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophy Of Geometry From Riemann To Poincar written by R. Torretti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Philosophy Of Geometry From Riemann To Poincar
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Author : Roberto Torretti
language : nl
Publisher:
Release Date : 1978
Philosophy Of Geometry From Riemann To Poincar written by Roberto Torretti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Poincar Philosopher Of Science
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Author : María de Paz
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-11
Poincar Philosopher Of Science written by María de Paz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-11 with Science categories.
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.
Philosophy And Geometry
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Author : Lorenzo Magnani
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-05-31
Philosophy And Geometry written by Lorenzo Magnani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-31 with History categories.
The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--Jacket.
Poincar S Philosophy
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Author : Elie Zahar
language : en
Publisher: Open Court Publishing
Release Date : 2001
Poincar S Philosophy written by Elie Zahar and has been published by Open Court Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Biography & Autobiography categories.
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.
Relativity And Geometry
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Author : Roberto Torretti
language : en
Publisher: Courier Corporation
Release Date : 2012-07-31
Relativity And Geometry written by Roberto Torretti and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-31 with Science categories.
This high-level study discusses Newtonian principles and 19th-century views on electrodynamics and the aether. Additional topics include Einstein's electrodynamics of moving bodies, Minkowski spacetime, gravitational geometry, time and causality, and other subjects. Highlights include a rich exposition of the elements of the special and general theories of relativity. 1983 edition.
On The Hypotheses Which Lie At The Bases Of Geometry
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Author : Bernhard Riemann
language : en
Publisher: Birkhäuser
Release Date : 2016-04-19
On The Hypotheses Which Lie At The Bases Of Geometry written by Bernhard Riemann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Worlds Out Of Nothing
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Author : Jeremy Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-01
Worlds Out Of Nothing written by Jeremy Gray and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-01 with Mathematics categories.
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
The Routledge Companion To Philosophy Of Science
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Author : Martin Curd
language : en
Publisher: Routledge
Release Date : 2013-07-24
The Routledge Companion To Philosophy Of Science written by Martin Curd and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Philosophy categories.
The Routledge Companion to Philosophy of Science is an indispensable reference source and guide to the major themes, debates, problems and topics in philosophy of science. It contains sixty-two specially commissioned entries by a leading team of international contributors. Organized into four parts it covers: historical and philosophical context debates concepts the individual sciences. The Routledge Companion to Philosophy of Science addresses all of the essential topics that students of philosophy of science need to know - from empiricism, explanation and experiment to causation, observation, prediction and more - and contains many helpful features including chapters on individual sciences (such as biology, chemistry, physics and psychology), further reading and cross-referencing at the end of each chapter. Expanded and revised throughout, this second edition includes new chapters on Conventionalism, Social Epistemology, Computer Simulation, Thought Experiments, Pseudoscience, Species and Taxonomy, and Cosmology.
Geo Epistemology
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Author : Claudio Canaparo
language : en
Publisher: Peter Lang
Release Date : 2009
Geo Epistemology written by Claudio Canaparo and has been published by Peter Lang this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Literary Collections categories.
This book is about the formation and development of Latin America as name, idea and concept, as well as the wider concepts of location, knowledge and the relationship between them. Latin America is not only a subject or an academic construct, it is also a perspective from which subjectivities are established, knowledge is developed and narratives are produced. This study argues that epistemology cannot exist in abstract terms, despite traditional academic arguments to the contrary. Therefore the author uses 'Latin America' to anchor his more general arguments in a particular location and calls this approach 'geo-epistemology'. The author discusses how the specificity of a particular location can contribute to the establishment of both a method of formulating human knowledge and the boundaries of what can be known. The text explores the relationship between philosophy, geography and geometry, and analyses the notions of science, empire and colonialism. In response to the contemporary debate on 'space of thinking', the author proposes a new concept of 'reversal thinking', which leads to an examination of the roles of language and writing from an epistemic point of view.