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Proof and other dilemmas : mathematics and philosophy /
Has the advent of computers changed the nature of mathematical knowledge? Should it? Is the importance of proof decreasing? Is there an empirical aspect to mathematics after all? To what extent is mathematics socially constructed? Is mathematics the "science of patterns?" Recently emerging...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Washington, D.C.] :
Mathematical Association of America,
©2008.
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| Colección: | Spectrum series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Proof and other dilemmas : |b mathematics and philosophy / |c edited by Bonnie Gold and Roger A. Simons. |
| 246 | 1 | 4 | |a Proof & other dilemmas |
| 260 | |a [Washington, D.C.] : |b Mathematical Association of America, |c ©2008. | ||
| 300 | |a 1 online resource (xxxii, 346 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | 0 | |g Proof and how it is changing. |t Proof : its nature and significance / |r Michael Detlefsen -- |t Implications of experimental mathematics for the philosophy of mathematics / |r Jonathan Borwein -- |t On the roles of proof in mathematics / |r Joseph Auslander -- |g Social constructivist views of mathematics. |t When is a problem solved? / |r Philip J. Davis -- |t Mathematical practice as a scientific problem / |r Reuben Hersh -- |t Mathematical domains : social constructs? / |r Julian Cole -- |g The nature of mathematical objects and mathematical knowledge. |t The existence of mathematical objects / |r Charles Chihara -- |t Mathematical objects / |r Stewart Shapiro -- |t Mathematical platonism / |r Mark Balaguer -- |t The nature of mathematical objects / |r Øystein Linnebo -- |t When is one thing equal to some other thing? / |r Barry Mazur -- |g The nature of mathematics and its applications. |t Extreme science : mathematics as the science of relations as such / |r R.S.D. Thomas -- |t What is mathematics? A pedagogical answer to a philosophical question / |r Guershon Harel -- |t What will count as mathematics in 2100? / |r Keith Devlin -- |t Mathematics applied : the case of addition / |r Mark Steiner -- |t Probability : a philosophical overview / |r Alan Hájek. |
| 520 | |a Has the advent of computers changed the nature of mathematical knowledge? Should it? Is the importance of proof decreasing? Is there an empirical aspect to mathematics after all? To what extent is mathematics socially constructed? Is mathematics the "science of patterns?" Recently emerging questions like these are discussed in this book along with some recent thinking about classical questions. This book of 16 essays, all written specifically for this volume, is the first to explore this range of new developments in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers are not yet discussing. The other half, written by philosophers of mathematics, summarize the discussion in that community during the last 35 years. In each case, a connection is made (in the article itself, or in its introduction) to issues relevant to the teaching of mathematics. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 6 | |a Mathématiques |x Philosophie. | |
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| 650 | 7 | |a Mathematics |x Philosophy |2 fast | |
| 700 | 1 | |a Gold, Bonnie, |d 1948- |1 https://id.oclc.org/worldcat/entity/E39PBJqfPb4tvFb8xRc78dHV4q | |
| 700 | 1 | |a Simons, Roger A. | |
| 758 | |i has work: |a Proof and other dilemmas (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGWmtRf7wb4JD4KmQDhH3P |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Gold, Bonnie. |t Proof and Other Dilemmas : Mathematics and Philosophy. |d Washington : Mathematical Association of America, ©2014 |z 9780883855676 |
| 830 | 0 | |a Spectrum series. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330330 |z Texto completo |
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