|Paradoxes: are contradictions within formally correct statements or sets of statements that lead to an existence assumption, which initially seemed plausible, to be withdrawn. Paradoxes are not errors, but challenges that may lead to a re-formulation of the prerequisites and assumptions, or to a change in the language, the subject domain, and the logical system. See also Russellian paradox, contradictions, range, consistency.|
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|Berka I 371
Antinomies/quantum theory/Cantor: (1895): "Antinomy of the set of all transfinite ordinal numbers".
Published first by Burali Forti in 1897.
"Cantor's antinomy": A of the greatest cardinal number" = ("A. of the set of all sets")
At that time the fundamental consequences were underestimated.
Russell: (Letter to Frege, 16.06.1902): Russell's antinomy as a further development of the Cantor's antinomy. This can also be derived from Frege's first volume of the basic laws of arithmetic.
K. Berka/L. Kreiser
Logik Texte Berlin 1983