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The dialogue between sciences, philosophy and engineering. New historical and epistemological insights. Homage to Gottfried W. Leibniz 1646-1716

SYSNO ASEP	0484610
Document Type	M - Monograph Chapter
R&D Document Type	Monograph Chapter
Title	Leibniz and the Impossibility of Squaring the Circle
Author(s)	Crippa, Davide (FLU-F)_{ORCID, RID, SAI}
Source Title	The dialogue between sciences, philosophy and engineering. New historical and epistemological insights. Homage to Gottfried W. Leibniz 1646-1716. - London : College Publications, 2017 / Pisano R. - ISBN 978-1-84890-227-5
Pages	s. 93-120
Number of pages	28 s.
Number of copy	500
Number of pages	434
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	Gregory ; Huygens ; Leibniz ; impossibility ; quadrature of the circle ; infinite series
Subject RIV	AA - Philosophy ; Religion
OECD category	Philosophy, History and Philosophy of science and technology
Institutional support	FLU-F - RVO:67985955
Annotation	In this paper, I shall study the last proposition of the De Quadratura Arithmetica (1676) of G.W. Leibniz, where we find a proof that it is impossible to solve algebraically the quadrature of an arbitrary sector of the circle, the hyperbola and the ellipse. I shall deal with the quadrature of the circle only, and I shall put this mathematical result into its proper context, that is to say the controversy that had opposed James Gregory and Christiaan Huygens several years earlier. Probably under Huygens’ guidance, Leibniz studied the documents related to the controversy and wrote interesting observations about it. These observations show that Leibniz was led to investigate the issue of impossibility with the hope of correcting some flaws in Gregory’s reasoning, and eventually come up with an original impossibility theorem. Keywords: Infinitesimal Geometry, Gregory, Huygens, Leibniz, impossibility, quadrature of the circle, infinite series.
Workplace	Institute of Philosophy
Contact	Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360
Year of Publishing	2018

Number of the records: 1