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Salomon Maimon`s Theory of Invention: Scientific Genius, Analysis and Euclidean Geometry, Idit Chikurel


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Автор: Idit Chikurel
Название:  Salomon Maimon`s Theory of Invention: Scientific Genius, Analysis and Euclidean Geometry
ISBN: 9783110996807
Издательство: Walter de Gruyter
Классификация:




ISBN-10: 3110996804
Обложка/Формат: Paperback
Страницы: 178
Вес: 0.43 кг.
Дата издания: 18.07.2022
Серия: Philosophy
Язык: English
Иллюстрации: B/w line drawings; b/w line drawings
Размер: 230 x 155
Читательская аудитория: Professional and scholarly
Ключевые слова: Jewish studies,Philosophy of mathematics,Philosophy of science,Western philosophy, from c 1900 -,Western philosophy: c 1600 to c 1900, HISTORY / Jewish,MATHEMATICS / History & Philosophy,PHILOSOPHY / History & Surveys / Modern,SCIENCE / Philosophy & Social Aspects
Подзаголовок: Scientific genius, analysis and euclidean geometry
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Поставляется из: Германии
Описание:

How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimons theory of invention. Chikurel argues that Maimons contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus commentary on Elements, these methods are applied on examples taken from Euclids Elements and Data. Centering around methodical invention and scientific genius, Maimons philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimons notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimons logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.




The Autobiography of Solomon Maimon: The Complete Translation

Автор: Maimon Solomon
Название: The Autobiography of Solomon Maimon: The Complete Translation
ISBN: 0691203083 ISBN-13(EAN): 9780691203089
Издательство: Wiley
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Цена: 3485.00 р.
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Описание:

The first complete and annotated English translation of Maimon's delightfully entertaining memoir

Solomon Maimon's autobiography has delighted readers for more than two hundred years, from Goethe and George Eliot to Walter Benjamin and Hannah Arendt. Here is the first complete and annotated English edition of this enduring and lively work. Born into a down-on-its-luck provincial Jewish family in 1753, Maimon distinguished himself as a prodigy in learning. After a series of picaresque misadventures, he reached Berlin, where he became part of the city's famed Jewish Enlightenment and achieved the philosophical education he so desperately wanted. This edition restores text cut from the abridged 1888 translation by J. Clark Murray--for long the only available English edition--and includes an introduction and notes by Yitzhak Melamed and Abraham Socher that give invaluable insights into Maimon's extraordinary life.

Euclidean Geometry and Its Subgeometries

Автор: Specht Edward John, Jones Harold Trainer, Calkins Keith G.
Название: Euclidean Geometry and Its Subgeometries
ISBN: 3319795333 ISBN-13(EAN): 9783319795331
Издательство: Springer
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Цена: 20962.00 р.
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Описание: In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs.

Salomon Maimon: Rational Dogmatist, Empirical Skeptic

Автор: G. Freudenthal
Название: Salomon Maimon: Rational Dogmatist, Empirical Skeptic
ISBN: 9048163633 ISBN-13(EAN): 9789048163632
Издательство: Springer
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Цена: 27251.00 р.
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Описание: The essays of leading scholars collected in this volume focus on Salomon Maimon`s (1753-1800) synthesis of `Rational Dogmatism` and `Empirical Skepticism`. This collection is of interest to scholars working in the fields of history of philosophy, metaphysics, epistemology, rationalism and empiricism as well as Jewish Studies.

Plain Plane Geometry

Автор: Sasane Amol
Название: Plain Plane Geometry
ISBN: 9814740438 ISBN-13(EAN): 9789814740432
Издательство: World Scientific Publishing
Цена: 12514.00 р.
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Описание: The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level.

Non-Euclidean Geometries

Автор: Andr?s Pr?kopa; Emil Moln?r
Название: Non-Euclidean Geometries
ISBN: 146149771X ISBN-13(EAN): 9781461497714
Издательство: Springer
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Цена: 27251.00 р.
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Описание: "From nothing I have created a new different world," wrote Janos Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today.

Salomon Maimon`s Theory of Invention: Scientific Genius, Analysis and Euclidean Geometry

Автор: Idit Chikurel
Название: Salomon Maimon`s Theory of Invention: Scientific Genius, Analysis and Euclidean Geometry
ISBN: 3110691337 ISBN-13(EAN): 9783110691337
Издательство: Walter de Gruyter
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Цена: 15797.00 р.
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Описание:

How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus' commentary on Elements, these methods are applied on examples taken from Euclid's Elements and Data. Centering around methodical invention and scientific genius, Maimon's philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimon's notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimon's logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.

Undergraduate Convexity: Problems and Solutions

Автор: Nielsen Mikkel Slot, Rohde Victor Ulrich
Название: Undergraduate Convexity: Problems and Solutions
ISBN: 9813146214 ISBN-13(EAN): 9789813146211
Издательство: World Scientific Publishing
Цена: 8870.00 р.
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Описание: This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here

Undergraduate Convexity: Problems and Solutions

Автор: Nielsen Mikkel Slot, Rohde Victor Ulrich
Название: Undergraduate Convexity: Problems and Solutions
ISBN: 9813143649 ISBN-13(EAN): 9789813143647
Издательство: World Scientific Publishing
Цена: 5069.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

Автор: Grosche Christian
Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9814460079 ISBN-13(EAN): 9789814460071
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

In the search for beauty: unravelling non-euclidean geometry

Автор: Smilga, Voldemar (-)
Название: In the search for beauty: unravelling non-euclidean geometry
ISBN: 9813274352 ISBN-13(EAN): 9789813274358
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание:

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.

Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.

In the Search for Beauty: Unravelling Non-Euclidean Geometry

Автор: Smilga Voldemar
Название: In the Search for Beauty: Unravelling Non-Euclidean Geometry
ISBN: 9811208301 ISBN-13(EAN): 9789811208300
Издательство: World Scientific Publishing
Рейтинг:
Цена: 5544.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.

Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.


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