Philosophy Lexicon of Arguments

Author Item Excerpt Meta data
Poincaré, H.
Books on Amazon
Russell’s Paradox Thiel I 322
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".
Poincaré saw this suspicion confirmed and claimed:
Conditions such as "~ (x ε x)" are not suitable for determining a set, for they require a circulus vitiosus. He had not found this diagnosis with the help of the Russellian antinomy, but with the antinomy constructed by Jules Richard." Paradoxes/Poincaré.

Chr. Thiel
Philosophie und Mathematik Darmstadt 1995

> Counter arguments against Poincaré

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Ed. Martin Schulz, access date 2017-04-24