Re: Russell's paradox

Posted by DickT on January 26, 2003 at 11:23:30:

In Reply to: Re: Russell's paradox posted by sepiraph on January 25, 2003 at 22:33:35:

sepiraph,

Russell took the paradox to mean that you couldn't just freely take sets of sets. He developeed a hierarchy in which things in one level could be members of the next level, and axioms prevented cross-level theorems. That eliminated the paradox, and that's what he and Whitehead used in their Principia Mathematica.

Regards,
Dick

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