Leibniz on the Parallel Postulate and the Foundations of Geometry : The Unpublished Manuscripts. 1st ed. 2016

種類:

電子ブック

責任表示:

by Vincenzo De Risi

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2016

著者名:

• De Risi, Vincenzo.
• SpringerLink (Online service)

シリーズ名:

Science Networks. Historical Studies ; 51

ISBN:

9783319198637 [3319198637]    

注記:

1.Introduction -- 2.The Theory of Parallel Lines in the Age of Leibniz -- 3.Leibniz’ Epistemology of Geometry and the Parallel Postulate -- 4.Leibniz’ Attempts to prove the Parallel Postulate -- 5.Reception and Legacy -- Leibniz’ Texts on Parallel Lines -- Bibliography.
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 Leibni

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