ZF axiomatic set theory

Fudge Muffin

Fudge Muffin
Registered Senior Member
I'm sure wikipedia does a great job of explaining this to all you guys, but i can't understand it. I know that this set theory has axioms to avoid contradictions such as Russell's Paradox, using something call the Axiom of Choice... can you guys shed some light on this please?
 
I've now read that they had axioms in their system that stopped sets appearing that were too 'big'. Can anyone tell me how?
 
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