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Author:   Bharath Sriraman
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 2017
Weight:   0.773kg
ISBN:  

9783319870298

ISBN 10:   3319870297
Pages:   363
Publication Date:   30 August 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.- Gödel’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: Bézout’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.

Reviews

This Festschrift ... is a wonderful collection of nearly thirty essays exploring the ideas that Reuben made his life's work. The book begins by introducing us to Reuben, first in a lively interview with him and then by sharing with us a dozen family photos. By the time we begin reading the serious essays, we already feel as if he is a good friend. Many of the contributors have known and worked with Reuben for many years, and the warmth of their friendships is quite apparent. (John J. Watkins, The Mathematical Intelligencer, Vol. 41, No. 2, 2019) Bharath Sriraman has collected in this book 27 texts, comprising five chapters from Hersh himself (including one interview with the author), and 22 texts from authors whose work has been influenced by Hersh. These are mathematicians, philosophers, logicians, and linguistics, and altogether they offer the reader a cornucopia of lives, visions, positions, and contradictions about the nature of mathematics and its role in science and society. (Alexandre Pais, Educational Studies in Mathematics, Vol. 99, 2019) Bharath Sriraman has collected twenty-five essays from mathematicians and philosophers, an educator, and a linguist for a Festschrift volume to celebrate Hersh's ninetieth birthday. As one might expect, this is an extremely varied collection of articles. Several contain heartfelt appreciation of Hersh. Some attempt to develop and elucidate his Humanist philosophy. Others just mention him in passing or not at all. A few contain some nontrivial mathematics. ... Anyone interested in the philosophy of mathematics will profit from reading and engaging with it. (Joseph Auslander, Notices of the AMS, Vol. 65, No. 11, 2018).

Bharath Sriraman has collected in this book 27 texts, comprising five chapters from Hersh himself (including one interview with the author), and 22 texts from authors whose work has been influenced by Hersh. These are mathematicians, philosophers, logicians, and linguistics, and altogether they offer the reader a cornucopia of lives, visions, positions, and contradictions about the nature of mathematics and its role in science and society. (Alexandre Pais, Educational Studies in Mathematics, Vol. 99, 2019)

Bharath Sriraman has collected in this book 27 texts, comprising five chapters from Hersh himself (including one interview with the author), and 22 texts from authors whose work has been influenced by Hersh. These are mathematicians, philosophers, logicians, and linguistics, and altogether they offer the reader a cornucopia of lives, visions, positions, and contradictions about the nature of mathematics and its role in science and society. (Alexandre Pais, Educational Studies in Mathematics, Vol. 99, 2019) Bharath Sriraman has collected twenty-five essays from mathematicians and philosophers, an educator, and a linguist for a Festschrift volume to celebrate Hersh's ninetieth birthday. As one might expect, this is an extremely varied collection of articles. Several contain heartfelt appreciation of Hersh. Some attempt to develop and elucidate his Humanist philosophy. Others just mention him in passing or not at all. A few contain some nontrivial mathematics. ... Anyone interested in the philosophy of mathematics will profit from reading and engaging with it. (Joseph Auslander, Notices of the AMS, Vol. 65, No. 11, 2018).

Author Information

Bharath Sriraman is a Professor of Mathematics at the University of Montana 

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