Philosophy And Geometry
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Philosophy And Geometry
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Author : L. Magnani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophy And Geometry written by L. 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 2012-12-06 with Science categories.
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, 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 dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
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.
Philosophical Geometry
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Author : André VandenBroeck
language : en
Publisher: Inner Traditions
Release Date : 1987-06-01
Philosophical Geometry written by André VandenBroeck and has been published by Inner Traditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-06-01 with Body, Mind & Spirit categories.
Ancient Egyptians and Greeks (up to Euclid) saw in plane geometry much more than land-surveying. For the Greeks, Gaia or Ge (from which our word “geometry” derives) was a universe rather than a planet. Man was the measure of the cosmos and geometry was the expression of this faculty, the discipline through which one studied the unity of cosmic necessity and human thought. For this reason tradition has it that Plato inscribed on the gates of his Academy: “Only geometers enter here.” This aspect of the discipline was lost in modern times until studies such as those of Matila Ghyka rekindled an interest that culminated in R. A. Schwaller de Lubicz’s Pythagorean synthesis. Since it was essentially a rediscovery of unselfconscious modes of thinking, this synthesis did not pose the problem of foundations. Philosophical Geometry originated in the author’s perception of this problem while working with de Lubicz in Grasse, France, in 1960-61. Written in 1972, Philosophical Geometry was conceived as a textbook and took shape in a teaching situation, individual elaboration of theory being the declared aim. Defined as “the activity of establishing a necessary conduct for mind through a set of signs denoting a necessary conduct of facts,” Philosophical Geometry approaches a universal theme to which the existence of every human being contributes a chapter. Philosophical Geometry is, and has been, an avenue toward inscription of such fundamental experience.
Geometry And Monadology
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Author : Vincenzo de Risi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-08
Geometry And Monadology written by Vincenzo de Risi 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 2007-08-08 with Science categories.
This book reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work’s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz’s geometry.
Euclid
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Author : Josette Campbell
language : en
Publisher: The Rosen Publishing Group, Inc
Release Date : 2015-07-15
Euclid written by Josette Campbell and has been published by The Rosen Publishing Group, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Juvenile Nonfiction categories.
Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.
Philosophy Of Geometry
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Author : Zekâi Şen
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2024-12-17
Philosophy Of Geometry written by Zekâi Şen and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-17 with Biography & Autobiography categories.
This book enriches the mind of the read regarding the topics covered, provided that the given guidelines are followed systematically, by conveying a deep understanding of each topic concerning the elegance of geometry as the fundamental cornerstone for visualization. Rational deductive inferences are used to express doubt about assumed knowledge, providing a path to linguistically innovative solutions, which can be then transformed into mathematical equations, if necessary. The whole text is based on geometric visualization, deducted linguistically so that anyone interested in the numerical results of aesthetic design can broaden their scope of understanding. Each chapter in the book is a source of dynamic information for the interested reader. The chapters are not intended to be read in sequential order, because each is written quite independently from the others. Only closely related chapters are tied with each other.
Spinoza S Geometry Of Power
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Author : Valtteri Viljanen
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-29
Spinoza S Geometry Of Power written by Valtteri Viljanen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-29 with Philosophy categories.
This work examines the unique way in which Benedict de Spinoza (1632–77) combines two significant philosophical principles: that real existence requires causal power and that geometrical objects display exceptionally clearly how things have properties in virtue of their essences. Valtteri Viljanen argues that underlying Spinoza's psychology and ethics is a compelling metaphysical theory according to which each and every genuine thing is an entity of power endowed with an internal structure akin to that of geometrical objects. This allows Spinoza to offer a theory of existence and of action - human and non-human alike - as dynamic striving that takes place with the same kind of necessity and intelligibility that pertain to geometry. Viljanen's fresh and original study will interest a wide range of readers in Spinoza studies and early modern philosophy more generally.
Sacred Geometry
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Author : Robert Lawlor
language : en
Publisher: Crossroad Publishing Company
Release Date : 1982
Sacred Geometry written by Robert Lawlor and has been published by Crossroad Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Looks at various mathematical concepts, such as the logarithmic spiral, the Golden Proportion, and the squaring of the circle, and discusses the sacred meanings that religions have ascribed to them