國立虎尾科技大學 |

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics/ by Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith.
Author:	Marchisotto, Elena Anne Corie.
other author:	Rodríguez-Consuegra, Francisco.
Description:	XXIV, 603 p. 62 illus., 21 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-0-8176-4823-7
ISBN:	9780817648237

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
Marchisotto, Elena Anne Corie.

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics[electronic resource] /by Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith. - 1st ed. 2021. - XXIV, 603 p. 62 illus., 21 illus. in color.online resource.

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.

ISBN: 9780817648237

Standard No.: 10.1007/978-0-8176-4823-7doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA21-27

Dewey Class. No.: 510.9

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
LDR:03458nam a22003855i 4500 001 1050275
003 DE-He213
005 20210729073022.0
007 cr nn 008mamaa
008 220103s2021 xxu| s |||| 0|eng d
020 $a 9780817648237 $9 978-0-8176-4823-7
024 7 $a 10.1007/978-0-8176-4823-7 $2 doi
035 $a 978-0-8176-4823-7
050 4 $a QA21-27
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 510.9 $2 23
100 1 $a Marchisotto, Elena Anne Corie. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1354545
245 1 4 $a The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics $h [electronic resource] / $c by Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith.
250 $a 1st ed. 2021.
264 1 $a New York, NY : $b Springer New York : $b Imprint: Birkhäuser, $c 2021.
300 $a XXIV, 603 p. 62 illus., 21 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a 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.
520 $a 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.
650 0 $a Mathematics. $3 527692
650 0 $a History. $3 669538
650 0 $a Mathematical logic. $2 bicssc $3 810627
650 0 $a Logic. $3 558909
650 0 $a Philosophy and science. $3 555818
650 1 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a History of Science. $3 671541
650 2 4 $a Mathematical Logic and Foundations. $3 669393
650 2 4 $a Philosophy of Science. $3 668204
700 1 $a Rodríguez-Consuegra, Francisco. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1354546
700 1 $a Smith, James T. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1354547
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9780817648220
776 0 8 $i Printed edition: $z 9780817672607
856 4 0 $u https://doi.org/10.1007/978-0-8176-4823-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)