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Leibniz on the parallel postulate an...

De Risi, Vincenzo.

Leibniz on the parallel postulate and the foundations of geometrythe unpublished manuscripts /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Leibniz on the parallel postulate and the foundations of geometryby Vincenzo De Risi.
Reminder of title:	the unpublished manuscripts /
Author:	De Risi, Vincenzo.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 195 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	GeometryFoundations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-19863-7
ISBN:	9783319198637$q(electronic bk.)

Leibniz on the parallel postulate and the foundations of geometrythe unpublished manuscripts /
De Risi, Vincenzo.

Leibniz on the parallel postulate and the foundations of geometrythe unpublished manuscripts /[electronic resource] :by Vincenzo De Risi. - Cham :Springer International Publishing :2016. - viii, 195 p. :ill., digital ;24 cm. - Science networks. historical studies,v.511421-6329 ;. - Science networks. historical studies ;v.44..

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 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 of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.

ISBN: 9783319198637$q(electronic bk.)

Standard No.: 10.1007/978-3-319-19863-7doiSubjects--Personal Names:

178974
Leibniz, Gottfried Wilhelm,
Freiherr von,1646-1716.Subjects--Topical Terms:

474394
Geometry
--Foundations.

LC Class. No.: QA681

Dewey Class. No.: 512.9

Leibniz on the parallel postulate and the foundations of geometrythe unpublished manuscripts /
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520 $a 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 of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
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