The legacy of Mario Pieri in foundations and philosophy of mathematics / Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith.
Marchisotto, Elena.; Rodríguez-Consuegra, Francisco A., 1951-; Smith, James T.
2021
QA26
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Title The legacy of Mario Pieri in foundations and philosophy of mathematics / Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith.
Author Marchisotto, Elena.
ISBN 9780817648237 (electronic bk.)
0817648232 (electronic bk.)
9780817648220
0817648224
DOI https://doi.org/10.1007/978-0-8176-4823-7
Imprint New York, NY : Birkhäuser, 2021.
Language English
Description 1 online resource (622 pages)
Other Standard Identifiers 10.1007/978-0-8176-4823-7 doi
Call Number QA26
Dewey Decimal Classification 510.9
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Rodríguez-Consuegra, Francisco A., 1951-
Smith, James T.
Available in Other Form Legacy of Mario Pieri in Foundations and Philosophy of Mathematics.
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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.

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