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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. .

Mathematics. --- Social sciences. --- Mathematics in the Humanities and Social Sciences. --- Mathematics --- Philosophy. --- Hersh, Reuben, --- Logic of mathematics --- Mathematics, Logic of --- Math --- Science --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization

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Mathematics --- Math --- Science --- Study and teaching --- Research

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Mathematics --- Study and teaching.

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The goal of this Handbook is to become an authoritative source with chapters that show the origins, unification, and points of similarity between different disciplines and mathematics. Some chapters will also show bifurcations and the development of disciplines which grow to take on a life of their own. Science and Art are used as umbrella terms to encompass the physical, natural and geological sciences, as well as the visual and performing arts. As arts imagine possibilities, science attempts to generate models to test possibilities, mathematics serves as the tool. This handbook is an indispensable collection to understand todays effort to build bridges between disciplines. It answers questions such as: What are the origins of interdisciplinarity in mathematics? What are cross-cultural components of interdisciplinarity linked to mathematics? What are contemporary interdisciplinary trends? Section Editors: Michael J. Ostwald, University of Newcastle (Australia) Kyeong-Hwa Lee, Seoul National University (South Korea) Torsten Lindström, Linnaeus University (Sweden) Gizem Karaali, Pomona College (USA) Ken Valente, Colgate University, (USA) Consulting Editors: Alexandre Borovik, Manchester University (UK) Daina Taimina, Independent Scholar, Cornell University (USA) Nathalie Sinclair, Simon Fraser University (Canada) What do figure skating, invasive species, medieval cathedrals, ropes, poems, wines, metaphors, rhythms, climate change, and origami have in common? Mathematics! The Handbook of the Mathematics of the Arts and Sciences is a stunning compendium of essays on these and scores of other unlikely subjects to which the mathematical imagination has been brought. It is at once a dazzlingly contemporary tour of human success at bringing order to the world, and a throwback to a time before the “unity of knowledge” became a mere slogan. It is a breathtaking work, for its ambitious scope and for its endless stimulation of the reader’s curiosity. - Harry R. Lewis, Gordon McKay Research Professor of Computer Science at Harvard University, editor of Ideas That Created the Future: Classic Papers of Computer Science Mathematics has always enjoyed deep connections with the arts, science, the humanities, philosophy, history, and society in general. However, these links are often overlooked or undervalued. This Handbook makes a massive statement about the extent and importance of the interdisciplinary nature of mathematics, and its relevance to all aspects of human culture. Its articles are scholarly and authoritative, but also highly readable and accessible to non-specialists. A triumph! -Ian Stewart FRS, Emeritus Professor - University of Warwick This handbook will delight anyone who loves the richness of mathematics and its interplay with the arts and humanities. Bharath Sriraman has given us a great gift, a treasure chest of connections to art and architecture, language and literature, philosophy, history, society, you name it. The book is authoritative and charming and instantly establishes itself as a landmark reference for interdisciplinary mathematics. Steven Strogatz - Jacob Gould Schurman Professor of Applied Mathematics at Cornell University.

Mathematics. --- Social sciences. --- Mathematics in Art and Architecture. --- Mathematics in Music. --- Mathematics in the Humanities and Social Sciences. --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Math --- Science --- Matemàtica --- Ciències socials --- Civilització --- Anàlisi transcultural --- Comunicació en ciències socials --- Ciències de l'educació --- Civisme --- Conducta (Psicologia) --- Conservadorisme --- Criminologia --- Demografia --- Dret --- Ecologia humana --- Economia --- Equilibri social --- Fotografia en les ciències socials --- Funcionalisme (Ciències socials) --- Història --- Paradigmes (Ciències socials) --- Pluralisme cultural --- Política --- Sociologia --- Teoria econòmica --- Didàctica de les ciències socials --- Ensenyament de les ciències socials --- Matemàtiques (Ciència) --- Ciència --- Alfabetisme matemàtic --- Àlgebra --- Anàlisi matemàtica --- Aritmètica --- Axiomes --- Biomatemàtica --- Congruències (Geometria) --- Congruències i residus --- Constants matemàtiques --- Descomposició (Matemàtica) --- Dinàmica --- Estadística --- Factorització (Matemàtica) --- Filtres (Matemàtica) --- Formes (Matemàtica) --- Formes normals (Matemàtica) --- Geometria --- Geografia matemàtica --- Inducció (Matemàtica) --- Infinit --- Lògica matemàtica --- Matemàtica aplicada --- Matemàtica japonesa --- Màxims i mínims --- Nombres --- Quarta dimensió --- Successions (Matemàtica) --- Teoria de conjunts --- Teoria de l'índex (Matemàtica) --- Teoria de la computació --- Variables (Matemàtica) --- Didàctica de la matemàtica --- Ensenyament de la matemàtica --- Història de la matemàtica --- Matemàtics --- Mathematics --- Arts --- Natural science --- Natural sciences --- Science of science --- Sciences --- Arts, Fine --- Arts, Occidental --- Arts, Western --- Fine arts --- Humanities --- Arts, Primitive --- Arts. --- Architecture --- Music --- Architecture and mathematics --- Mathematics and architecture

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Mathematics --- Study and teaching --- Research --- Study and teaching.