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→Add Dedekind cut
:Rewrite. The previous article missed the point. The point is subtle.
:Rewrite. The previous article missed the point. The point is subtle.
===Dedekind cut===
[[User:SamHB/Dedekind cut]]
:New/rewrite. The previous material on this was in the [[real analysis]] page, and was hopelessly wrong. The "foundations of real analysis" were not "shaken", nor did Dedekind cuts "undercut the assumption of the continuity of the real line, by ''cutting'' at ''gaps'' between points". Dedekind cuts specifically '''maintain''' continuity and density; they do not create gaps. Also, they have nothing to do with "[[elementary_proof|non-elementary]] methods" (complex numbers), or the axiom of choice. The real analysis page, like many pages, needs an overhaul.
===Bijection===
===Bijection===