but my understanding is that this paradox (and others like it) sparked a crisis in mathematics that led to the creation of ZFC and others. ZFC is not known to be inconsistent (due to deep and technical reasons, I can't claim positively that it is consistent), and it was designed to avoid the paradoxes that plagued naive set theory.
That was my understanding as well. Axiomatic Set Theory, with ZFC, doesn't suffer from the same problems as Naive Set Theory, which is why it was developed. Or so I've read.
That was my understanding as well. Axiomatic Set Theory, with ZFC, doesn't suffer from the same problems as Naive Set Theory, which is why it was developed. Or so I've read.