Talk:Greatest element and least element

It seems that the extreme value article is very close to greatest element. (User:209.90.162.85 forgot to sign.)


 * Yes, there is some intersection. I think the two articles look at things from a bit different perspectives though, but I am not sure. Let us see if a specialist in order theory would be willing to do some merging from extreme value to to greatest element. For now, I just put a link from the former to the latter article. Oleg Alexandrov 00:27, 20 Mar 2005 (UTC)

Rename article?
The article is called "greatest element", but it talks as much about the greatest element as it does about the least element. (Naturally, as they are duals.) I propose to rename the article to "greatest and least element". (Or maybe even to "greatest and least element of a partially ordered set"?) &mdash; Tobias Bergemann 23:04, 16 December 2005 (UTC)

Move discussion in progress
There is a move discussion in progress on Talk:Upper and lower bounds which affects this page. Please participate on that page and not in this talk page section. Thank you. —RMCD bot 20:14, 12 September 2017 (UTC)

Confusion
It is confusing that the intro speaks of a poset, and the definition of a preorderd set.Madyno (talk) 08:26, 12 April 2022 (UTC)


 * The definition is slightly more general. The special case of a partial order is handled in its 3rd paragraph. I added an "even" to emphasize the special/general relation between both cases. In the lead, I think it is ok to mention just the partial-order case since it is best known. - Jochen Burghardt (talk) 15:39, 12 April 2022 (UTC)

Add mention to well-ordering
Should a mention to the well-ordering relation be made since the subject of this article (specifically a least element) is what makes a well-order from a total order? Oneequalsequalsone (talk) 13:01, 2 June 2024 (UTC)


 * I consider this a good idea. For now, I just added an annotated link under "See also". - Jochen Burghardt (talk) 17:46, 2 June 2024 (UTC)