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AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that:
- Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC).
- Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games).
- Some beautiful mathematical theorems hold only if AC is replaced by some alternative axiom, contradicting AC (e.g., by AD, the axiom of determinateness).
Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Detalles
- Título Axiom of Choice
- Autor Horst Herrlich
- Encuadernación Tapa blanda
- Edición First Edition
- Páginas 198
- Volúmenes 1
- Idioma ENG
- Editorial Springer, New York
- Fecha de publicación 2006-05-11
- Ilustrado Sí
- ISBN 9783540309895 / 3540309896
- Peso 0.68 libras (0.31 kg)
- Dimensiones 9.21 x 6.14 x 0.46 pulgadas (23.39 x 15.60 x 1.17 cm)
- Dewey Decimal Code 511.3
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Axiom of Choice
de Horst Herrlich
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- 9783540309895 / 3540309896
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New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Axiom of Choice.
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Axiom of Choice
de Horst Herrlich
- Nuevo
- Tapa blanda
- Estado
- New
- Encuadernación
- Paperback
- ISBN 10 / ISBN 13
- 9783540309895 / 3540309896
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Southport, Merseyside, United Kingdom
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Paperback / softback. New. AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Precio
EUR 77.48
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Axiom of Choice (Lecture Notes in Mathematics, Vol. 1876) (Lecture Notes in Mathematics, 1876)
de Herrlich, Horst
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campbelltown, Florida, United States
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Springer. paperback. New. 6x0x9. Brand New Book in Publishers original Sealing
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Axiom of Choice (Lecture Notes in Mathematics, Vol. 1876)
de Herrlich, Horst
- Nuevo
- Tapa blanda
- Estado
- New
- Encuadernación
- Paperback
- ISBN 10 / ISBN 13
- 9783540309895 / 3540309896
- Cantidad disponible
- 1
- Librería
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San Diego, California, United States
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EUR 114.09EUR 5.14 enviando a USA
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Springer, 2006-07-06. Paperback. New. New. In shrink wrap. Looks like an interesting title!
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