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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Na´ve logical sets

[sets as defined by absolutely any concept]

7 ideas
Russell invented the na´ve set theory usually attributed to Cantor [Russell, by Lavine]
The set scheme discredited by paradoxes is actually the most natural one [Quine]
Na´ve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
Na´ve set theory has trouble with comprehension, the claim that every predicate has an extension [Hart,WD]
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
Nowadays conditions are only defined on existing sets [Brown,JR]
Na´ve set theory assumed that there is a set for every condition [Brown,JR]