Talk:Cantor's diagonal argument
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Cantor was German, the three articles mentioned are in German.
- Über eine elementare Frage der Mannigfaltigkeitslehre. Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol I, pp 75ff. The problem with the proof is that is not formalized (and therefore probably easier to understand). A formalized proof was only given in 1910.
- Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen. Journal für die Reine und Angewandte Mathematik Vol 77, pp. 258–262.
I have never seen the first case referred to as "Cantor's diagonal argument"
[change source]The diagonal argument as I have always seen it presented is the proof by contradiction in the latter portion of the article, not the correspondence between the integers and rationals shown in the first part. One of the linked sources is dead, while the other focuses solely on the latter portion. Does anyone have a citation for the rational-integer correspondence as "Cantor's diagonal argument"? It is clearly related to the Cantor pairing function, but that is an entirely different matter from the diagonal argument. Fishsicles (talk) 19:14, 20 March 2025 (UTC)