[FOM] Questions about existence of big sets in Z and ZF
Zuhair Abdul Ghafoor Al-Johar
zaljohar at yahoo.com
Tue Jul 19 16:41:17 EDT 2011
1. In Z-Reg. can we have a set K such that every member of K is an equivalence class of subsets of K under bijection, and every subset of K is a member of a member of K, and for every well founded set x there is a member of K that has a member of it that is equinumerous to x?
2.In ZF-Reg. can we have a set S such that for every well founded set x
there is a surjection from a subset of S to x?
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