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I agree. Any mathematician who was concerned about Dedekind cuts relying on the axiom of choice was just wrong. They have nothing to do with AC. Nor did they "undercut the assumption of the continuity of the real line". They put the continuity on a firm basis. Nor did they create gaps. They filled them. [[User:SamHB|SamHB]] 22:30, 20 August 2008 (EDT)
I agree. Any mathematician who was concerned about Dedekind cuts relying on the axiom of choice was just wrong. They have nothing to do with AC. Nor did they "undercut the assumption of the continuity of the real line". They put the continuity on a firm basis. Nor did they create gaps. They filled them. [[User:SamHB|SamHB]] 22:30, 20 August 2008 (EDT)
I just changed
::<math>\{ N, N+1/N\ |\ N \textrm{\ is\ an\ integer} \ge 2 \}</math>
to
::<math>\bigcup_{N \textrm{\ is\ an\ integer\ } \geq 2} (N,N+1/N)</math>
I'm not sure what the notation in the first one is supposed to be. Maybe just add parentheses around (N,N+1/N)? The old version is still in the page as a comment in case I screwed up.
P.S.: Anyone know way to get something like \substack{...} in Mediawiki?
--[[User:MarkGall|MarkGall]] 23:07, 5 July 2009 (EDT)