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<p><a href="page.php?w=Georg_Cantor">Georg Cantor</a> considered the well-ordering theorem to be a "fundamental principle of thought".  However, it is considered difficult or even impossible to visualize a well-ordering of , the set of all <a href="page.php?w=real_number">real number</a>s; such a visualization would have to incorporate the axiom of choice. In 1904, <a href="page.php?w=Gyula_Konig">Gyula Konig</a> claimed to have proven that such a well-ordering cannot exist.  A few weeks later, <a href="page.php?w=Felix_Hausdorff">Felix Hausdorff</a></p><p>
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