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→Diagonalization: Went back and checked a few thing. I have forgotten a lot.
:::And that is why the contradiction occurs, because there is no way of ordering the without the axiom of choice, you assume you can and watch it fail. [[User:DanielB|DanielB]] 22:30, 14 June 2008 (EDT)
:::And that is why the contradiction occurs, because there is no way of ordering the without the axiom of choice, you assume you can and watch it fail. [[User:DanielB|DanielB]] 22:30, 14 June 2008 (EDT)
::::Okay I am starting to see the problem here, the well-order theorem contrary to what the article here claims is not equivalent to the axiom of choice. [[User:DanielB|DanielB]] 22:37, 14 June 2008 (EDT)
::::Okay I am starting to see the problem here, the well-order theorem is dependent on the axiom of choice. However countable sets are well ordered. [[User:DanielB|DanielB]] 22:37, 14 June 2008 (EDT)