Cantor's first set theory article: Difference between revisions

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[[Georg Cantor]]'s first proof that the set of all [[real number]]s is [[uncountable set|uncountable]] was not his famous [[Cantor's diagonal argument|diagonal argument]], and did not mention decimal expansions or any other [[numeral system]]. The original theorem and proof were found by Cantor in December 1873, and published in 1874 in ''[[Crelle's Journal]]'', more formally known as ''Journal fürfür die Reine und Angewandte Mathematik'' (German for ''Journal for Pure and Applied Mathematics''). Cantor discovered the diagonal argument in 1877.

===The theorem===

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==Reference==

* Georg Cantor, 1874, "ÜberÜber eine Eigenschaft des Inbegriffes aller reelen algebraischen Zahlen", ''Journal fürfür die Reine und Angewandte Mathematik'', volume 77, pages 258-262.

[[Category:Set theory]]