Hersh, Reuben 1927
Overview
Works:  35 works in 382 publications in 11 languages and 12,357 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Other 
Classifications:  QA8.4, 510 
Publication Timeline
.
Most widely held works by
Reuben Hersh
The mathematical experience by
Philip J Davis(
Book
)
164 editions published between 1980 and 2013 in 11 languages and held by 3,320 WorldCat member libraries worldwide
Traces the history of mathematics, offers profiles of major mathematicians and their discoveries, and looks at the philosophy of mathematics
164 editions published between 1980 and 2013 in 11 languages and held by 3,320 WorldCat member libraries worldwide
Traces the history of mathematics, offers profiles of major mathematicians and their discoveries, and looks at the philosophy of mathematics
Descartes' dream : the world according to mathematics by
Philip J Davis(
Book
)
44 editions published between 1984 and 2005 in English and held by 1,798 WorldCat member libraries worldwide
Discusses the impact that mathematics and computers have on our intellectual and emotional lives
44 editions published between 1984 and 2005 in English and held by 1,798 WorldCat member libraries worldwide
Discusses the impact that mathematics and computers have on our intellectual and emotional lives
What is mathematics, really? by
Reuben Hersh(
Book
)
41 editions published between 1990 and 2009 in 3 languages and held by 1,230 WorldCat member libraries worldwide
Virtually all philosophers treat mathematics as isolated, timeless, ahistorical, inhuman. In What Is Mathematics, Really? renowned mathematician Reuben Hersh argues the contrary. In a subversive attack on traditional philosophies of mathematics, most notably Platonism and formalism, he shows that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Mathematical objects are created by humans, not arbitrarily, but from activity with existing mathematical objects, and from the needs of science and daily life. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. The humanist standpoint helps him to resolve ancient controversies about proof, certainty, and invention versus discovery. The second half of the book provides a fascinating history of the "mainstream" of philosophy  ranging from Pythagoras, Plato, Descartes, Spinoza, and Kant, to Bertrand Russell, Hilbert, Carnap, and Quine. Then come the mavericks who saw mathematics as a human artifact  Aristotle, Locke, Hume, Mill, Peirce, Dewey, Wittgenstein. In his epilogue, Hersh reveals that this is no mere armchair debate, of little consequence to the outside world. Platonism and elitism fit together naturally. Humanism, on the other hand, links mathematics with people, with society, and with history. It fits with liberal antielitism and its historical striving for universal literacy, universal higher education, and universal access to knowledge and culture. Thus Hersh's argument has educational and political consequences
41 editions published between 1990 and 2009 in 3 languages and held by 1,230 WorldCat member libraries worldwide
Virtually all philosophers treat mathematics as isolated, timeless, ahistorical, inhuman. In What Is Mathematics, Really? renowned mathematician Reuben Hersh argues the contrary. In a subversive attack on traditional philosophies of mathematics, most notably Platonism and formalism, he shows that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Mathematical objects are created by humans, not arbitrarily, but from activity with existing mathematical objects, and from the needs of science and daily life. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. The humanist standpoint helps him to resolve ancient controversies about proof, certainty, and invention versus discovery. The second half of the book provides a fascinating history of the "mainstream" of philosophy  ranging from Pythagoras, Plato, Descartes, Spinoza, and Kant, to Bertrand Russell, Hilbert, Carnap, and Quine. Then come the mavericks who saw mathematics as a human artifact  Aristotle, Locke, Hume, Mill, Peirce, Dewey, Wittgenstein. In his epilogue, Hersh reveals that this is no mere armchair debate, of little consequence to the outside world. Platonism and elitism fit together naturally. Humanism, on the other hand, links mathematics with people, with society, and with history. It fits with liberal antielitism and its historical striving for universal literacy, universal higher education, and universal access to knowledge and culture. Thus Hersh's argument has educational and political consequences
Loving + hating mathematics : challenging the myths of mathematical life by
Reuben Hersh(
Book
)
15 editions published between 2010 and 2011 in English and Undetermined and held by 863 WorldCat member libraries worldwide
"Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotionsand inspire more love and hatredthan mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera JohnSteiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonmentas well as of those rare individuals driven to insanity and even murder by an obsession with math."Overview
15 editions published between 2010 and 2011 in English and Undetermined and held by 863 WorldCat member libraries worldwide
"Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotionsand inspire more love and hatredthan mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera JohnSteiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonmentas well as of those rare individuals driven to insanity and even murder by an obsession with math."Overview
18 unconventional essays on the nature of mathematics by
Reuben Hersh(
Book
)
23 editions published between 2005 and 2006 in English and held by 270 WorldCat member libraries worldwide
"This new collection of essays edited by Reuben Hersh contains frank facts and opinions from leading mathematicians, philosophers, sociologists, cognitive scientists, and even an anthropologist. Each essay provides a challenging and thoughtprovoking look at recent advances in the philosophy of mathematics, demonstrating the possibilities of thinking fresh, sticking close to actual practice, and fearlessly letting go of standard shibboleths."Résumé de l'éditeur
23 editions published between 2005 and 2006 in English and held by 270 WorldCat member libraries worldwide
"This new collection of essays edited by Reuben Hersh contains frank facts and opinions from leading mathematicians, philosophers, sociologists, cognitive scientists, and even an anthropologist. Each essay provides a challenging and thoughtprovoking look at recent advances in the philosophy of mathematics, demonstrating the possibilities of thinking fresh, sticking close to actual practice, and fearlessly letting go of standard shibboleths."Résumé de l'éditeur
The companion guide to The mathematical experience, study edition by
Philip J Davis(
Book
)
18 editions published in 1995 in English and held by 161 WorldCat member libraries worldwide
18 editions published in 1995 in English and held by 161 WorldCat member libraries worldwide
Experiencing mathematics : what do we do, when we do mathematics? by
Reuben Hersh(
Book
)
6 editions published in 2014 in English and held by 144 WorldCat member libraries worldwide
"Most mathematicians, when asked about the nature and meaning of mathematics, vacillate between the two unrealistic poles of Platonism and formalism. By looking carefully at what mathematicians really do when they are doing mathematics, Reuben Hersh offers an escape from this trap. This book of selected articles and essays provides an honest, coherent, and clearly understandable account of mathematicians' proof as it really is, and of the existence and reality of mathematical entities. It follows in the footsteps of Poincaré, Hadamard, and Polya. The pragmatism of John Dewey is a better fit for mathematical practice than the dominant 'analytic philosophy'. Dialogue, satire, and fantasy enliven the philosophical and methodological analysis."Page 4 of cover
6 editions published in 2014 in English and held by 144 WorldCat member libraries worldwide
"Most mathematicians, when asked about the nature and meaning of mathematics, vacillate between the two unrealistic poles of Platonism and formalism. By looking carefully at what mathematicians really do when they are doing mathematics, Reuben Hersh offers an escape from this trap. This book of selected articles and essays provides an honest, coherent, and clearly understandable account of mathematicians' proof as it really is, and of the existence and reality of mathematical entities. It follows in the footsteps of Poincaré, Hadamard, and Polya. The pragmatism of John Dewey is a better fit for mathematical practice than the dominant 'analytic philosophy'. Dialogue, satire, and fantasy enliven the philosophical and methodological analysis."Page 4 of cover
Peter Lax, mathematician : an illustrated memoir by
Reuben Hersh(
Book
)
9 editions published in 2015 in English and held by 134 WorldCat member libraries worldwide
"This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible."Page 4 de la couverture
9 editions published in 2015 in English and held by 134 WorldCat member libraries worldwide
"This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible."Page 4 de la couverture
Matemáticas : una historia de amor y odio by
Reuben Hersh(
Book
)
5 editions published in 2012 in Spanish and English and held by 19 WorldCat member libraries worldwide
Las matemáticas tienen para muchos mala fama: frías, complicadas, ajenas a todo aquello que no sea "racional". Sin embargo, semejante historia no es real: las matemáticas tienen que ver, y mucho, con emociones y fuerzas sociales; esto es, con todo aquello que es primaria y genuinamente humano. Que es así, es algo que se muestra en este libro, en el que un matemático, Reuben Hersh, y una experta en lingüística y educación, Vera JohnSteiner, narran, con un estilo vivo y accesible, las vidas de distinguidos matemáticos, vidas en las que no faltaron amistades, amores, rivalidades, frustraciones, pasiones o momentos de éxtasis. A través de las páginas de este esclarecedor libro, comprobamos como las matemáticas representaron una inmensa ayuda para individuos durante tiempos de crisis, guerras e incluso prisión. Y aunque se combate la idea de que los matemáticos son, en general, personas excéntricas, que viven en un universo propio practicando de manera individual la disciplina que aman, no se deja de presentar por ello los, poco frecuentes, casos de matemáticos que enloquecieron debido a sus obsesiones científicas. Es esta una obra, en resumen, que ayuda a comprender cómo la más racional de las habilidades humanas es al mismo tiempo una de las más emocionales
5 editions published in 2012 in Spanish and English and held by 19 WorldCat member libraries worldwide
Las matemáticas tienen para muchos mala fama: frías, complicadas, ajenas a todo aquello que no sea "racional". Sin embargo, semejante historia no es real: las matemáticas tienen que ver, y mucho, con emociones y fuerzas sociales; esto es, con todo aquello que es primaria y genuinamente humano. Que es así, es algo que se muestra en este libro, en el que un matemático, Reuben Hersh, y una experta en lingüística y educación, Vera JohnSteiner, narran, con un estilo vivo y accesible, las vidas de distinguidos matemáticos, vidas en las que no faltaron amistades, amores, rivalidades, frustraciones, pasiones o momentos de éxtasis. A través de las páginas de este esclarecedor libro, comprobamos como las matemáticas representaron una inmensa ayuda para individuos durante tiempos de crisis, guerras e incluso prisión. Y aunque se combate la idea de que los matemáticos son, en general, personas excéntricas, que viven en un universo propio practicando de manera individual la disciplina que aman, no se deja de presentar por ello los, poco frecuentes, casos de matemáticos que enloquecieron debido a sus obsesiones científicas. Es esta una obra, en resumen, que ayuda a comprender cómo la más racional de las habilidades humanas es al mismo tiempo una de las más emocionales
Loving and Hating Mathematics Challenging the Myths of Mathematical Life by
Vera JohnSteiner(
)
1 edition published in 2011 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 8 WorldCat member libraries worldwide
Boundary conditions for equations of evolution by
Reuben Hersh(
Book
)
3 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
The term evolutionary equation is used to mean one for which the Cauchy problem is correct, such as, for example, hyperbolic or parabolic equations. Mixed initialboundary value problems for systems of differential equations with constant (real or complex) coefficients in a quarter space are considered. (Author)
3 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
The term evolutionary equation is used to mean one for which the Cauchy problem is correct, such as, for example, hyperbolic or parabolic equations. Mixed initialboundary value problems for systems of differential equations with constant (real or complex) coefficients in a quarter space are considered. (Author)
New directions in the philosophy of mathematics(
Book
)
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
LOVING AND HATING MATHEMATICS : challenging the myths of mathematical life by
Reuben Hersh(
Book
)
3 editions published in 2011 in English and held by 3 WorldCat member libraries worldwide
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotionsand inspire more love and hatredthan mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera JohnSteiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonmentas well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional
3 editions published in 2011 in English and held by 3 WorldCat member libraries worldwide
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotionsand inspire more love and hatredthan mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera JohnSteiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonmentas well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional
A matematika élménye by
Philip J Davis(
Book
)
2 editions published in 1984 in Hungarian and Undetermined and held by 2 WorldCat member libraries worldwide
2 editions published in 1984 in Hungarian and Undetermined and held by 2 WorldCat member libraries worldwide
Dekaruto no yume(
Book
)
2 editions published in 1988 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 1988 in Japanese and held by 2 WorldCat member libraries worldwide
Ai + hen shu xue : Hai yuan zui zhen shi de shu xue by
Reuben Hersh(
Book
)
1 edition published in 2013 in Chinese and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in Chinese and held by 2 WorldCat member libraries worldwide
Professor Reuben Hersh ... on true facts about imaginary objects(
Visual
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
An opinion on the philosophy of mathematics and an examination of the three schools of philosophy: logicism (Platonism), intuitionism and Kant, and formalism, presenting what they believed, why they failed, and where mathematics philosophy is today
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
An opinion on the philosophy of mathematics and an examination of the three schools of philosophy: logicism (Platonism), intuitionism and Kant, and formalism, presenting what they believed, why they failed, and where mathematics philosophy is today
A matematika természete by
Reuben Hersh(
Book
)
1 edition published in 2000 in Hungarian and held by 1 WorldCat member library worldwide
1 edition published in 2000 in Hungarian and held by 1 WorldCat member library worldwide
The companion guide to the Mathematical experience, study ed. by
Philip J Davis(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Davis, Philip J. 1923 Author
 JohnSteiner, Vera 1930 Author
 Marchisotto, Elena
 Lax, Peter D.
 Rota, GianCarlo Author of introduction
 Descartes, René 15961650
 Zehnder, Jeannette
 Espanya Ministerio de Educación y Ciencia
 Adelaar, Patty
 Gordon, Eda Collector Photographer
Useful Links
Associated Subjects
Canada Computers and civilization Descartes, René, Differential equations EducationPhilosophy Lax, Peter D Logic, Symbolic and mathematical Mathematicians MathematiciansPsychology Mathematics MathematicsEducation MathematicsPhilosophy MathematicsSocial aspects MathematicsStudy and teaching Philosophy SciencePhilosophy Scientists United States
Alternative Names
Hersh, R. 1927
Hersh, Reuben
Reuben Hersh Amerikaans wiskundige
Reuben Hersh amerikansk matematikar
Reuben Hersh amerikansk matematiker
Reuben Hersh matemático estadounidense
Reuben Hersh matematico statunitense
Reuben Hersh mathématicien américain
Reuben Hersh USamerikanischer Mathematiker
허시, 로이벤
ヘルシュ, R
ルーベン・ハーシュ
Languages
English
(286)
German (12)
Spanish (9)
Italian (8)
French (7)
Japanese (4)
Chinese (2)
Hungarian (2)
Portuguese (2)
Polish (2)
Turkish (2)
German (12)
Spanish (9)
Italian (8)
French (7)
Japanese (4)
Chinese (2)
Hungarian (2)
Portuguese (2)
Polish (2)
Turkish (2)
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