Russell’s paradox and symmetry

September 24, 2008

Michael O’Connor has a very interesting post on symmetry as a way out of the set theoretic paradoxes. The paper he discusses uses this conception of set to motivate New Foundation like set theories. I haven’t fully absorbed the details, but if this can do for NF what the iterative conception or limitation of size does for ZFC, that would be pretty interesting, philosophically speaking…

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