Well-ordering theorem
由 TA Skolem 著作 · 1962 — The well-ordering theorem. After all this I shall now prove, by use of the choice principle, that every set can be well-ordered. First I shall give another ... ,S. N. ,. N well-ordering principle, least element . infinite set,. ,. “ ” . ,. , ! finite set. ,2012年1月9日 — well ordering principle and Zorn's lemma, and discuss to some extent how large fragment of ZF we need in order to prove the individual ... ,The well-ordering principle is a property of the positive integers which is equivalent to the statement of the principle of mathematical induction. ,The Well-Ordering Theorem one of the Greatest Mathematical Controversies of All Time. Recall that the set of natural numbers with the order < is ... ,The well-ordering theorem, which is equivalent to the axiom of choice, states that every set can be well ordered. If a set is well ordered (or even if it ... ,is well-ordered is inductive, and must therefore contain all natural numbers; from this property one can conclude that the set of all natural numbers is also ... , ,2020年1月23日 — 1. Idea ... The well-ordering theorem is a famous result in set theory stating that every set may be well-ordered. Fundamental for G. Cantor's ...
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 Well-ordering theorem 相關參考資料
4. The well-ordering theorem - Project Euclid
由 TA Skolem 著作 · 1962 — The well-ordering theorem. After all this I shall now prove, by use of the choice principle, that every set can be well-ordered. First I shall give another ... https://projecteuclid.org Chapter 6 Axiom of Choice, Well-ordering Theorem and Zorn's ...
S. N. ,. N well-ordering principle, least element . infinite set,. ,. “ ” . ,. , ! finite set. http://math.ntnu.edu.tw The Axiom of Choice, the Well Ordering Principle and ... - UiO
2012年1月9日 — well ordering principle and Zorn's lemma, and discuss to some extent how large fragment of ZF we need in order to prove the individual ... https://www.mn.uio.no The Well-ordering Principle | Brilliant Math & Science Wiki
The well-ordering principle is a property of the positive integers which is equivalent to the statement of the principle of mathematical induction. https://brilliant.org The Well-Ordering Theorem - Berkeley Math
The Well-Ordering Theorem one of the Greatest Mathematical Controversies of All Time. Recall that the set of natural numbers with the order < is ... https://math.berkeley.edu Well-order - Wikipedia
The well-ordering theorem, which is equivalent to the axiom of choice, states that every set can be well ordered. If a set is well ordered (or even if it ... https://en.wikipedia.org Well-ordering principle - Wikipedia
is well-ordered is inductive, and must therefore contain all natural numbers; from this property one can conclude that the set of all natural numbers is also ... https://en.wikipedia.org Well-ordering theorem - Wikipedia
https://en.wikipedia.org well-ordering theorem in nLab
2020年1月23日 — 1. Idea ... The well-ordering theorem is a famous result in set theory stating that every set may be well-ordered. Fundamental for G. Cantor's ... https://ncatlab.org |