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＜電子ブック＞
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics / by Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith

版	1st ed. 2021.
出版者	(New York, NY : Springer New York : Imprint: Birkhäuser)
出版年	2021
大きさ	XXIV, 603 p. 62 illus., 21 illus. in color : online resource
著者標目	*Marchisotto, Elena Anne Corie author Rodríguez-Consuegra, Francisco author Smith, James T author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:History LCSH:Science—History LCSH:Mathematical logic LCSH:Logic LCSH:Science—Philosophy FREE:History of Mathematical Sciences FREE:History of Science FREE:Mathematical Logic and Foundations FREE:Logic FREE:Philosophy of Science
一般注記	Preface -- Pieri's Contributions to Foundations and Philosophy of Mathematics -- Pieri's Philosophy of Deductive Sciences -- Two Paths to Logical Consequence: Pieri and the Peano School -- Pieri's 1900 Paris Paper -- Pieri and Projective Geometry -- Pieri's 1898 Geometry of Position Memoir -- Transformational Geometry -- Pieri's 1900 Point-and-Motion Memoir -- Pieri's Works on Foundations and Philosophy of Mathematics -- Central Themes and Impact of Pieri's Work -- Bibliography -- Index The Italian mathematician Mario Pieri (1860–1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century. This volume is the second in a series intended to make Pieri’s research in diverse fields—mathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysis—accessible to today’s scholars and to assess its importance (yet little recognized) in historical and modern contexts. The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics examines Pieri’s underlying philosophy of mathematics and his research goals, highlighting one of his most influential achievements, his axiomatizations of projective and elementary geometry. Its chapters include three of Pieri’s pioneering works, translated by the authors and appearing in English for the first time, as well as an analysis of the role of this research in its larger context. Together, these translations and the accompanying interpretation accurately capture Pieri’s expository style, philosophical perspective, and his foundational research, which has influenced generations. With an excellent index, exhaustive references, and engaging discussions that reveal Pieri’s work in its historical context, this volume will appeal to scholars and advanced students interested in the history and philosophy of mathematics and logic, as well as readers with a general knowledge of geometry at the intermediate level HTTP:URL=https://doi.org/10.1007/978-0-8176-4823-7

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