11 окт. 2010 г. · A set is well ordered by a relation, R, if every subset has a least element. My question is: Has anyone constructed a well ordering on the reals? What does a well ordering of R look like? [duplicate] "There is no well-ordered uncountable set of real numbers ... A way to well-order real line - Math Stack Exchange How does well-ordering theorem apply to real numbers if real ... Другие результаты с сайта math.stackexchange.com

In mathematics, a well-order on a set S is a total ordering on S with the property that every non-empty subset of S has a least element in this ordering.

29 мар. 2014 г. · Every ordinal is well-ordered, so that induces a well-order on R. This of course requires AC. This is analogous to the case for a countable set. Whats wrong with the well-ordering theorem? : r/math - Reddit Why doesn't the well ordering principle apply to nonnegative ... A simple explanation of well-order : r/learnmath - Reddit A few questions about the Well-Ordering Theorem : r/askmath Другие результаты с сайта www.reddit.com

30 мар. 2020 г. · 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 ...

11 дек. 2021 г. · Under the standard ordering ≤ ≤ , the reals are not well ordered. A well-order of a set is a total order with the property that every non-empty ... What did William Thurston mean when he said ' it is a theorem ... Is there a well-ordering of the rational numbers between 0 and ... What is a well-ordered set of numbers? - Quora Другие результаты с сайта www.quora.com

7 июл. 2021 г. · A set of real numbers (which could be decimal numbers) is said to be well-ordered if every nonempty subset in it has a smallest element. A well- ...

That is, S is well-ordered when every nonempty subset S' of S has an element x smaller than every other element of S'. Every finite set is well-ordered. The ...

3 авг. 2018 г. · A well-ordered set looks discrete. It's got a first element, a second, a third, etc. A well-order can't be dense, because for example there are ...

In mathematics, the well-ordering principle states that every non-empty subset of nonnegative integers contains a least element. Properties · Example applications · Prime factorization

8 янв. 2017 г. · A well-ordered set is a totally ordered set satisfying the minimum condition. The concept of a well-ordered set was introduced by G. Cantor.