Cantor's first set theory article: Difference between revisions

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This is '''not''' about [[Cantor's diagonal argument]]!

Contrary to what most [[mathematician]]s believe, [[Georg Cantor]]'s first proof that the set of all [[real number]]s is uncountable was not his famous [[Cantor's diagonal argument|diagonal argument]], and did not mention decimal expansions or any other [[numeral system]]. The theorem and proof below were found by Cantor in December 1873, and published in 1874. Cantor discovered the diagonal argument in 1877.

Contrary to what most [[mathematician]]s believe, [[Georg Cantor]]'s first proof that the set of all [[real number]]s is uncountable was not his famous [[Cantor's diagonal argument|diagonal argument]], and did not mention decimal expansions or any other [[numeral system]]. The theorem and proof below were found by Cantor in December 1873, and published in 1874. Cantor discovered the diagonal argument in 1877.

Suppose a set '''R''' is