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Naturalism in mathematics /
Set theory has rendered the notion of self-evident truths to be obsolete in mathematics. Penelope Maddy examines this dilemma using the minimum of technical jargon. Set theory is explained in a manner that can be understood by non-mathematicians.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford : New York :
Clarendon Press ; Oxford University Press,
1997.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Part I, The problem. The origins of set theory ; Set theory as a foundation ; The standard axioms ; Independent questions ; New axiom candidates
- Part II, Realism. Gödelian realism ; Quinean realism ; Set theoretic realism ; A realist's case against ; Hints of trouble ; Indispensability and scientific practice ; Indispensability and mathematical practice
- Part III, Naturalism. Wittgensteinian anti-philosophy ; A second Gödelian theme ; Quinean naturalism ; Mathematical naturalism ; The problem revisited ; A naturalist's case against.