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Equivalents Of The Axiom Of Choice

Equivalents Of The Axiom Of Choice
Author: Herman Rubin
Publisher: Elsevier
ISBN: 0444533990
Size: 25.68 MB
Format: PDF
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Equivalents of the Axiom of Choice
Language: en
Pages: 134
Authors: Herman Rubin, Jean E. Rubin
Categories: Axiom of choice
Type: BOOK - Published: 1963 - Publisher: Elsevier
Books about Equivalents of the Axiom of Choice
Axiom of Choice
Language: en
Pages: 194
Authors: Horst Herrlich
Categories: Mathematics
Type: BOOK - Published: 2006-05-11 - Publisher: Springer Science & Business Media
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
Equivalents of the Axiom of Choice, II
Language: en
Pages: 321
Authors: H. Rubin, J.E. Rubin
Categories: Mathematics
Type: BOOK - Published: 1985-03-01 - Publisher: Elsevier
This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and
Equivalents of the Axiom of Choice
Language: en
Pages:
Authors: Herman Rubin
Categories: Mathematics
Type: BOOK - Published: 1970 - Publisher:
Books about Equivalents of the Axiom of Choice
Einführung in die mathematische Philosophie
Language: de
Pages: 237
Authors: Bertrand Russell
Categories: Philosophy
Type: BOOK - Published: 2006-11-01 - Publisher: Felix Meiner Verlag
Dem Versuch, die These zu stützen, daß Logik und Mathematik eins seien, hat Russell mehrere Bücher gewidmet, unter anderem das dreibändige, gemeinsam mit A. N. Whitehead verfaßte Werk "Principia Mathematica" (1910-1913). Die "Einführung in die mathematische Philosophie" faßt die Ergebnisse dieser Untersuchungen zusammen, ohne Kenntnisse der mathematischen Symbolik vorauszusetzen. Sie
Equivalents of the axiom of choice
Language: da
Pages:
Authors: Herman Rubin, Herman, Jean E. Rubin
Categories: Philosophy
Type: BOOK - Published: 1970 - Publisher:
Books about Equivalents of the axiom of choice
Equivalents of the Axiom of Choice, II
Language: en
Pages: 322
Authors: Herman Rubin, Jean E. Rubin
Categories: Mathematics
Type: BOOK - Published: 1985-01-01 - Publisher: North Holland
This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and
Mechanising Set Theory
Language: en
Pages: 33
Authors: Lawrence C. Paulson, Krzysztof Gra̧bczewski
Categories: Automatic theorem proving
Type: BOOK - Published: 1995 - Publisher:
Abstract: "Fairly deep results of Zermelo-Fraenkel (ZF) set theory have been mechanised using the proof assistant Isabelle. The results concern cardinal arithmetic and the Axiom of Choice (AC). A key result about cardinal multiplication is k [symbol] k = k, where k is any infinite cardinal. Proving this result required
Equivalents of Failures of the Axiom of Choice
Language: en
Pages: 46
Authors: Thomas R. Kern, Dartmouth College. Mathematics and Social Sciences program
Categories: Automatic theorem proving
Type: BOOK - Published: 2009 - Publisher:
Books about Equivalents of Failures of the Axiom of Choice
Grundzüge der theoretischen Logik
Language: de
Pages: 155
Authors: David Hilbert, Wilhelm Ackermann
Categories: Logic, Symbolic and mathematical
Type: BOOK - Published: 1949 - Publisher:
Books about Grundzüge der theoretischen Logik