Mathematics · 1891

Ueber eine elementare Frage der Mannigfaltigkeitslehre

Georg Cantor

Deutsche Mathematiker-Vereinigung · Versammlung zu Halle, September 1891

Cantor’s diagonal argument: the sequences of two symbols cannot be listed, and no set has the greatest cardinality.

Poster of “Ueber eine elementare Frage der Mannigfaltigkeitslehre”: the text in three columns
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A3
License
Public domain
Retrieved
27 September 2026
Language
German
Rights holder
Georg Cantor, 1892

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Edition

The paper as printed in the Jahresbericht der Deutschen Mathematiker-Vereinigung, Erster Band, 1890-91 (Berlin, Georg Reimer, 1892), pp. 75-78, in the report on the scientific sessions of the meeting at Halle, 22 to 26 September 1891; complete. The text comes from the OCR of the Internet Archive item jahresberichtder1218deut (University of Illinois copy, leaves 84 to 87), corrected on the scan of the same pages: every line was read against the page images, and the lines that the OCR garbles (the formulas and every subscript) were set from the scan. Running heads and page numbers are dropped, words hyphenated at line ends are rejoined, and the paragraph breaks and centred displays follow the print. The byline “Von Georg Cantor (Halle a. S.).” is in the header. Typography: variables are upright, as printed, with HTML subscripts and superscripts; the leaders of the print (“. . .”) are set as ellipses; the signs “≧” and “≦” are set with KaTeX; the rows of dots under the display of E1, E2, ..., Eμ are kept.

Rights

Georg Cantor died on 6 January 1918 (Wikidata Q76420) and the paper was published in 1892: it is in the public domain in France, where the author died before 1 January 1956, and in the United States, where it was published before 1 January 1931. The scan is a faithful reproduction of that public domain printing.

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