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New page: Previously someone had written that Dedekind cuts called the concepts of real numbers into question, and that Dedekind cuts relied on the use of the axiom of choice. I've never heard such ...
Previously someone had written that Dedekind cuts called the concepts of real numbers into question, and that Dedekind cuts relied on the use of the axiom of choice. I've never heard such an insanely wrong description of Dedekind cuts, so I removed the statement. Dedekind cuts most certainly do NOT rely on choice in their description. Moreover, the purpose behind Dedekind cuts is that they allow one to construct the real numbers out of the rationals. So far from calling the existence of the reals into question, Dedekind put the definition of the reals onto solid ground.--[[User:Mathoreilly|Mathoreilly]] 11:02, 2 July 2008 (EDT)