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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 |
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| 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 |
Tabla de Contenidos:
- Proof and how it is changing. Proof : its nature and significance / Michael Detlefsen
- Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein
- On the roles of proof in mathematics / Joseph Auslander
- Social constructivist views of mathematics. When is a problem solved? / Philip J. Davis
- Mathematical practice as a scientific problem / Reuben Hersh
- Mathematical domains : social constructs? / Julian Cole
- The nature of mathematical objects and mathematical knowledge. The existence of mathematical objects / Charles Chihara
- Mathematical objects / Stewart Shapiro
- Mathematical platonism / Mark Balaguer
- The nature of mathematical objects / Øystein Linnebo
- When is one thing equal to some other thing? / Barry Mazur
- The nature of mathematics and its applications. Extreme science : mathematics as the science of relations as such / R.S.D. Thomas
- What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel
- What will count as mathematics in 2100? / Keith Devlin
- Mathematics applied : the case of addition / Mark Steiner
- Probability : a philosophical overview / Alan Hájek.