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Well Ordering Everything
Posted:
May 7, 2014 8:25 AM


For all A, (A is well orderable implies P(A) is well orderable). . (P) Within ZF, does P imple every set is well orderable?
Define by transfinite induction V_eta = { P(V_xi)  xi < eta } or equivallently V_0 = emptyset; V_(pi+1) = P(V_pi) V_eta = \/{ V_xi  xi < eta }, eta limit ordinal Within ZF, does P imply for all eta, V_eta is well orderable?
These two problems are equivalent.



