Read Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.

Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.

Horst Herrlich

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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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.. To get started finding Axiom of Choice. Lecture Notes in Mathematics, Volume 1876., you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 194

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 2010

ISBN: 1280625783

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.. To get started finding Axiom of Choice. Lecture Notes in Mathematics, Volume 1876., you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.

Axiom of Choice. Lecture Notes in Mathematics, Volume 1876.

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