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Titlebook: Seventeenth-Century Indivisibles Revisited; Vincent Jullien Book 2015 Springer International Publishing Switzerland 2015 epistemology.indi

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书目名称Seventeenth-Century Indivisibles Revisited
编辑Vincent Jullien
视频video
概述The first exhaustive study on the indivisibles.A mathematical, historical and philosophical approach of the intrusion and use of infinity in geometry during the XVIIth century.Written by a team of wel
丛书名称Science Networks. Historical Studies
图书封面Titlebook: Seventeenth-Century Indivisibles Revisited;  Vincent Jullien Book 2015 Springer International Publishing Switzerland 2015 epistemology.indi
描述.The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign..These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus..The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existingliterature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it..Th
出版日期Book 2015
关键词epistemology; indivisibles; modern science
版次1
doihttps://doi.org/10.1007/978-3-319-00131-9
isbn_softcover978-3-319-37495-6
isbn_ebook978-3-319-00131-9Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightSpringer International Publishing Switzerland 2015
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Newton on Indivisibles,Though Wallis’s . was one of Newton’s major sources of inspiration during the first years of his mathematical education, indivisibles were not a central feature of his mathematical production.
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Archimedes and Indivisibles,Antonio Nardi (?–1656) was a friend of Torricelli and, like him, a pupil of Benedetto Castelli in Rome. It was shown that the thought of Torricelli on indivisibles owed much to Nardi.
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Indivisibles and Latitude of Forms,The thesis of existence of medieval “forerunners” to galilean works on the fall of bodies goes back to Pierre Duhem. Duhem notably aimed the texts about Configurations of qualities which is a geometrical version of the Latitude of Forms, i.e. the quantification of qualities.
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