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Titlebook: Leibniz on the Parallel Postulate and the Foundations of Geometry; The Unpublished Manu Vincenzo De Risi Book 2016 Springer International P

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书目名称Leibniz on the Parallel Postulate and the Foundations of Geometry
副标题The Unpublished Manu
编辑Vincenzo De Risi
视频video
概述Provides the first edition of Leibniz’s papers that attempt to prove the Parallel Postulate.Discusses at length the history of the foundations of geometry in the seventeenth century.Gives a new perspe
丛书名称Science Networks. Historical Studies
图书封面Titlebook: Leibniz on the Parallel Postulate and the Foundations of Geometry; The Unpublished Manu Vincenzo De Risi Book 2016 Springer International P
描述.This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history o
出版日期Book 2016
关键词Leibniz; history of epistemology; history of geometry; non-Euclidean geometry; theory of parallel lines
版次1
doihttps://doi.org/10.1007/978-3-319-19863-7
isbn_softcover978-3-319-79288-0
isbn_ebook978-3-319-19863-7Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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发表于 2025-3-21 21:47:46 | 显示全部楼层
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Book 2016and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history o
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Introductionally relevant. In Leibniz’ times, the text of Euclid’s Elements still represented the starting point for any advanced mathematical theory, including Leibniz’ most celebrated discovery, the Calculus. The Greek treatise, on the other hand, was also the main model for deductive reasoning, and the touch
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Reception and Legacyevelopments of Euclidean and non-Euclidean geometry was almost inexistent. Yet, we may find a few episodes in the history of mathematics that show at least an indirect (and perhaps misconceived) reception of Leibniz’ endeavors.
发表于 2025-3-23 08:42:44 | 显示全部楼层
Book 2016ticular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geomet
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