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OverviewThis 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. Full Product DetailsAuthor: Bharath SriramanPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1st ed. 2017 Weight: 7.541kg ISBN: 9783319612300ISBN 10: 3319612301 Pages: 363 Publication Date: 22 November 2017 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsAn 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.ReviewsThis 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 InformationBharath Sriraman is a Professor of Mathematics at the University of Montana Tab Content 6Author Website:Countries AvailableAll regions |