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£49.55
Springer Axiom of Choice: 1876 (Lecture Notes in Mathematics, 1876)
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Price distribution over 75 days • 2 price levels
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Most common price: £50 (73 days, 97.3%)
Price range: £50 - £50
Price levels: 2 different prices over 75 days
Description
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.
Product Specifications
- Brand
- Springer
- Format
- paperback
- ASIN
- 3540309896
- Domain
- Amazon UK
- Release Date
- 11 May 2006
- Listed Since
- 31 December 2006
Barcode
No barcode data available
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