| ENCYCLOPEDIA 4U .com |
Encyclopedia Home Page |
|
|
Well-ordering theoremThe well-ordering theorem states that every set can be well-ordered.This is important because it makes every set susceptible to the powerful technique of transfinite induction. The well-ordering principle is equivalent to the axiom of choice, in the sense that either one together with the Zermelo-Fraenkel axioms is sufficient to prove the other. 
|
Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities.
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Well-ordering theorem".