國立高雄大學圖資館 |

Language: English

Back

Humanizing mathematics and its philo...

Hersh, Reuben, (1927-)

Humanizing mathematics and its philosophyessays celebrating the 90th birthday of Reuben Hersh /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Humanizing mathematics and its philosophyedited by Bharath Sriraman.
Reminder of title:	essays celebrating the 90th birthday of Reuben Hersh /
other author:	Sriraman, Bharath.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 363 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MathematicsPhilosophy.
Online resource:	http://dx.doi.org/10.1007/978-3-319-61231-7
ISBN:	9783319612317$q(electronic bk.)

Humanizing mathematics and its philosophyessays celebrating the 90th birthday of Reuben Hersh /
Humanizing mathematics and its philosophyessays celebrating the 90th birthday of Reuben Hersh /[electronic resource] :edited by Bharath Sriraman. - Cham :Springer International Publishing :2017. - x, 363 p. :ill., digital ;24 cm.

An Interview with Reuben Hersh -- Nine decades: A photographic passage -- Pluralism as modeling and as Confusion -- "Now" has an infinitesimal positive duration -- Review of How Humans Learn to Think Mathematically: Exploring the three worlds of mathematics. -- Can You Say What Mathematics Is? -- The Exact Sciences and Non-Euclidean Logic -- XENOMATH! -- Cognitive Networks: Brains, Internet and Civilizations -- Reuben Hersh on the Growth of Mathematical Knowledge: Kant, Geometry and Number Theory -- Do Mathematicians have responsibilities? -- School Mathematics and "Real" Mathematics -- What is Mathematics and What Should it Be? -- Humanism about Abstract Objects -- Can something just happen to be true? -- The "Artificial Mathematician" Objection: Exploring the (im)possibility of automating mathematical understanding -- Wittgenstein, Mathematics and the Temporality of Technique -- Godel's Legacy -- Varieties of Maverick Philosophy of Mathematics -- Does reason evolve? (Does the reasoning in mathematics evolve?) -- Mathematical Theories as Models -- Mathematics for makers and mathematics for users -- Case Study in Hersh's Philosophy: Bezout's Theorem -- A gift to teachers -- The Philosophy of Reuben Hersh: a non-technical assessment -- Friends and Former Comrades -- On the nature of mathematical entities.

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben's fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable "who's who" list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians. .

ISBN: 9783319612317$q(electronic bk.)

Standard No.: 10.1007/978-3-319-61231-7doiSubjects--Personal Names:

797561
Hersh, Reuben,
1927-Subjects--Topical Terms:

187658
Mathematics
--Philosophy.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1

Humanizing mathematics and its philosophyessays celebrating the 90th birthday of Reuben Hersh /
LDR:03543nmm a2200313 a 4500 001 525286
003 DE-He213
005 20180523093424.0
006 m d
007 cr nn 008maaau
008 180904s2017 gw s 0 eng d
020 $a 9783319612317$q(electronic bk.)
020 $a 9783319612300$q(paper)
024 7 $a 10.1007/978-3-319-61231-7 $2 doi
035 $a 978-3-319-61231-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA8.4
072 7 $a PDE $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 510.1 $2 23
090 $a QA8.4 $b .H918 2017
245 0 0 $a Humanizing mathematics and its philosophy $h [electronic resource] : $b essays celebrating the 90th birthday of Reuben Hersh / $c edited by Bharath Sriraman.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a x, 363 p. : $b ill., digital ; $c 24 cm.
505 0 $a An Interview with Reuben Hersh -- Nine decades: A photographic passage -- Pluralism as modeling and as Confusion -- "Now" has an infinitesimal positive duration -- Review of How Humans Learn to Think Mathematically: Exploring the three worlds of mathematics. -- Can You Say What Mathematics Is? -- The Exact Sciences and Non-Euclidean Logic -- XENOMATH! -- Cognitive Networks: Brains, Internet and Civilizations -- Reuben Hersh on the Growth of Mathematical Knowledge: Kant, Geometry and Number Theory -- Do Mathematicians have responsibilities? -- School Mathematics and "Real" Mathematics -- What is Mathematics and What Should it Be? -- Humanism about Abstract Objects -- Can something just happen to be true? -- The "Artificial Mathematician" Objection: Exploring the (im)possibility of automating mathematical understanding -- Wittgenstein, Mathematics and the Temporality of Technique -- Godel's Legacy -- Varieties of Maverick Philosophy of Mathematics -- Does reason evolve? (Does the reasoning in mathematics evolve?) -- Mathematical Theories as Models -- Mathematics for makers and mathematics for users -- Case Study in Hersh's Philosophy: Bezout's Theorem -- A gift to teachers -- The Philosophy of Reuben Hersh: a non-technical assessment -- Friends and Former Comrades -- On the nature of mathematical entities.
520 $a This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben's fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable "who's who" list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians. .
600 1 0 $a Hersh, Reuben, $d 1927- $3 797561
650 0 $a Mathematics $x Philosophy. $3 187658
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Mathematics in the Humanities and Social Sciences. $3 557714
700 1 $a Sriraman, Bharath. $3 485691
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-61231-7
950 $a Mathematics and Statistics (Springer-11649)