@misc{Lexicon of Arguments,
title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024},
author = {Poincaré,Henri},
subject = {Russell’s Paradox},
note = {Russell's Antinomy/solution: an attempt to avoid the Russellian paradox would be to say instead of "all" always "all, which". So now the suspicion is centered on "all".
>Russell's paradox, >"All", >Universal quantification.
Poincaré saw this suspicion confirmed and claimed:
Conditions such as "~ (x ε x)" are unsuitable to determine a set, for they require a circulus vitiosus.
>Sets, >Set theory, >Classes, cf. >Outermost class, >Circularity, cf. >Self-reference.
He did not get to this diagnosis with the help of the Russellian antinomy, but with the antinomy constructed by Jules Richard.
>Paradoxes/Poincaré.},