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Author: David Rapport Lachterman
Publisher:
ISBN: 9780415901413
Category : Philosophy
Languages : en
Pages : 255
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Book Description
The Ethics of Geometry is a study of the relationship between philosophy and mathematics. Essential differences in the ethos of mathematics, for example, the customary ways of undertaking and understanding mathematical procedures and their objects, provide insight into the fundamental issues in the quarrel of moderns with ancients. Two signal features of the modern ethos are the priority of problem-solving over theorem-proving, and the claim that constructability by human minds or instruments establishes the existence of relevant entities. These figures are combined in the emblematic statement of Salomon Maimon, "In mathematical construction we are, as it were, gods." Construction is the mark of modernity. The disciplines of classical philology, literary interpretation and the history of philosophy and of mathematics are woven together in this volume.
Author: David Rapport Lachterman
Publisher:
ISBN: 9780415901413
Category : Philosophy
Languages : en
Pages : 255
Get Book Here
Book Description
The Ethics of Geometry is a study of the relationship between philosophy and mathematics. Essential differences in the ethos of mathematics, for example, the customary ways of undertaking and understanding mathematical procedures and their objects, provide insight into the fundamental issues in the quarrel of moderns with ancients. Two signal features of the modern ethos are the priority of problem-solving over theorem-proving, and the claim that constructability by human minds or instruments establishes the existence of relevant entities. These figures are combined in the emblematic statement of Salomon Maimon, "In mathematical construction we are, as it were, gods." Construction is the mark of modernity. The disciplines of classical philology, literary interpretation and the history of philosophy and of mathematics are woven together in this volume.
Author: David Rapport Lachterman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 280
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Book Description
In a wide-ranging study of the relationship between philosophy and mathematics, Lachterman discussing the importance of construction from Euclid to Kant and his successors.
Author: Lorenzo Magnani
Publisher: Springer Science & Business Media
ISBN: 9780792369332
Category : History
Languages : en
Pages : 284
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Book Description
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.
Author: Valtteri Viljanen
Publisher: Cambridge University Press
ISBN: 1139501461
Category : Philosophy
Languages : en
Pages :
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Book Description
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.
Author: Shelly Kagan
Publisher: Oxford University Press
ISBN: 0190233729
Category : Philosophy
Languages : en
Pages : 675
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Book Description
The Geometry of Desert explores the hidden complexity of moral desert. Using graphs to illustrate and contrast alternative views, it carefully investigates the various ways in which the value of an outcome varies when people get (or fail to get) what they deserve.
Author: L. Magnani
Publisher: Springer Science & Business Media
ISBN: 9401096228
Category : Science
Languages : en
Pages : 284
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Book Description
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.
Author: Bonnie Leech
Publisher: The Rosen Publishing Group, Inc
ISBN: 1435841646
Category : Juvenile Nonfiction
Languages : en
Pages : 33
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Book Description
This book introduces students to both ancient and modern pioneer figures of geometry. Students are entertainingly guided through important theories and concepts integral to the use of geometry. Includes detailed background information on Pythagoras of Samos, Euclid of Alexandria, Rene Descartes, and Grace Chisholm Young. Fascinating coverage is provided on the models of the Pythagorean theorem, the basics of Euclidean geometry, and the Cartesian coordinate system.
Author: Paul Carus
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 162
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Book Description
Author: Josette Campbell
Publisher: The Rosen Publishing Group, Inc
ISBN: 1499461283
Category : Juvenile Nonfiction
Languages : en
Pages : 114
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Book Description
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.
Author: David Acheson
Publisher: Oxford University Press
ISBN: 0192585371
Category : Mathematics
Languages : en
Pages : 240
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Book Description
How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
