Talk:Cantor-Dedekind axiom

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Mathematics rating:	Stub Class	Low Priority	Field: Foundations, logic, and set theory
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 18:43, 21 May 2007 (UTC)

This is not an "axiom" in the usual sense of mathematics, though it might be an axiom in some broader natural-language sense. I'd like to see a source for the claim that either Cantor or Dedekind formulated, proposed, or indeed even believed it.--Trovatore 1 July 2005 05:56 (UTC)

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Fixed the worst problems (which seemed to come directly from MathWorld--N.B. MathWorld is a very unreliable source!!!!) But I still think maybe it should be VfD'd. Comments solicited--Trovatore 7 July 2005 02:09 (UTC)

[edit] Continuum hypothesis

Is this just the Continuum hypothesis? --MarSch 16:00, 13 December 2006 (UTC)

No, it has nothing to do with the continuum hypothesis. As far as I can tell it's an assertion of a connection between a geometrical concept (the line) and an arithmetical one (the reals). Which seems hardly necessary to mention, given that the geometrical line is the motivation for the reals in the first place. But I suppose you could posit an axiomatic framework in which both the line and the reals are primitive concepts, or defined from distinct primitive concepts, and you'd then need some axiom like this to connect them. --Trovatore 17:21, 13 December 2006 (UTC)