Talk:Nested intervals

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Don't merge. There is a particular and useful and basic result here. Charles Matthews 19:49, 31 May 2007 (UTC)

Agreed. Nested intervals play an important role in real one variable analysis. Geometry guy 00:48, 1 June 2007 (UTC)

Do you ever disagree with him? Also, a single "useful and basic result" does not justify the existence of this article. The article on intervals could quite easily incorporate the notions in this article in a section. Myrkkyhammas 09:33, 3 June 2007 (UTC)

Well, could and should are different. I looked round the site at where the nested intervals theorem is actually used, and discovered it cited, for example, on the page for 0.9999.... Which is a classic source of confusion for people who do not understand real analysis.

By the way, snarky remarks such as Do you ever disagree with him? are not well taken. Charles Matthews 11:26, 3 June 2007 (UTC)

[edit] A link

I came to Nested intervals with link from Cardinal number, and the content of this article looks unrelated to the link. I would expect Cantor's schema there. Mashiah (talk) 20:49, 17 November 2007 (UTC)

For what it's worth, in Cantor's proof a real number is constructed by intersecting a sequence of nested intervals, in exactly the same way as it is described in this article. -- EJ (talk) 12:23, 30 November 2007 (UTC)