Well-ordering theorem

S. N. ,. N well-ordering principle, least element . infinite set,. ,. “ ” . ,. , ! finite set. ,2012年1月9日 — well orderi...

Well-ordering theorem

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 ...

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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