ZFC and axiomatic set theory (beginners) - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-22T04:40:37Z http://mathoverflow.net/feeds/question/49476 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49476/zfc-and-axiomatic-set-theory-beginners ZFC and axiomatic set theory (beginners) kittykat687 2010-12-15T02:09:19Z 2010-12-15T02:09:19Z <p>Problem: Prove that if k is an inaccessible cardinal, then V(sub k) satisfies all the axioms of ZFC.</p> <p>Question: How?</p> <p>V(k) is our set, and we are to show somehow that each axiom asserts the existence of a set that is a member of V(k)?</p>