Well ordering Principle
2021年7月7日 — More generally, a property concerning the positive integers that is true for n=1, and that is true for all integers up to n+1 whenever it is ...,2020年3月30日 — A set of real numbers is said to be well-ordered if every nonempty subset in it has a smallest element. · A well-ordered set must be nonempty and ... , ,2015年5月18日 — Every nonempty set of nonnegative integers has a smallest element. This statement is known as The Well Ordering Principle. Do you believe it? ,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 ... ,In mathematics, the well-ordering theorem, also known as Zermelo's theorem, states that every set can be well-ordered. A set X is well-ordered by a strict ... ,在數學中，良序定理（英語：Well-ordering theorem）表示「所有集合都可以被良序排序」。這是非常重要的，因為它使所有集合均適用於超限歸納法。
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 Well ordering Principle 相關參考資料
1.2: The Well Ordering Principle and Mathematical Induction
2021年7月7日 — More generally, a property concerning the positive integers that is true for n=1, and that is true for all integers up to n+1 whenever it is ... https://math.libretexts.org 3.7: The Well-Ordering Principle - Math LibreTexts
2020年3月30日 — A set of real numbers is said to be well-ordered if every nonempty subset in it has a smallest element. · A well-ordered set must be nonempty and ... https://math.libretexts.org The Well-ordering Principle | Brilliant Math & Science Wiki
https://brilliant.org Well Ordering Principle: Chapter 2.1 – 2.3 - MIT ...
2015年5月18日 — Every nonempty set of nonnegative integers has a smallest element. This statement is known as The Well Ordering Principle. Do you believe it? https://ocw.mit.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
In mathematics, the well-ordering theorem, also known as Zermelo's theorem, states that every set can be well-ordered. A set X is well-ordered by a strict ... https://en.wikipedia.org 良序定理- 維基百科，自由的百科全書
在數學中，良序定理（英語：Well-ordering theorem）表示「所有集合都可以被良序排序」。這是非常重要的，因為它使所有集合均適用於超限歸納法。 https://zh.wikipedia.org |