Počet záznamů: 1

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

SYSNO ASEP	0484610
Druh ASEP	M - Kapitola v monografii
Zařazení RIV	C - Kapitola v knize
Název	Leibniz and the Impossibility of Squaring the Circle
Tvůrce(i)	Crippa, Davide (FLU-F)_{ORCID, RID, SAI}
Zdroj.dok.	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
Rozsah stran	s. 93-120
Poč.str.	28 s.
Poč.výt.	500
Poč.str.knihy	434
Forma vydání	Tištěná - P
Jazyk dok.	eng - angličtina
Země vyd.	GB - Velká Británie
Klíč. slova	Gregory ; Huygens ; Leibniz ; impossibility ; quadrature of the circle ; infinite series
Vědní obor RIV	AA - Filosofie a náboženství
Obor OECD	Philosophy, History and Philosophy of science and technology
Institucionální podpora	FLU-F - RVO:67985955
Anotace	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.
Pracoviště	Filosofický ústav
Kontakt	Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360
Rok sběru	2018

Počet záznamů: 1