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Oct 8, 2013 at 6:18 comment added Asaf Karagila Ali, indeed there is a strong similarity in the case of ordinals, and while they do serve as a "spine" for the universe of $\sf ZFC$, they don't quite catch everything. It's the sets of ordinals which do; and for sets of ordinals $\subsetneq$ and $\in$ are two very different relations.
Oct 8, 2013 at 6:10 comment added user36136 @Asaf & Carlo: You are right. But $\in$ and $\subsetneq$ seem simultaneously similar and different! It just depends on the property which we want to compare them with each other. As I mentioned in the case of ordinal numbers they are in the strongest similarity which is equality!
Oct 8, 2013 at 4:34 vote accept CommunityBot
Oct 7, 2013 at 22:44 comment added Rachid Atmai Indeed Asaf, and the former need not be transitive while the latter always is.
Oct 7, 2013 at 22:35 review Close votes
Oct 8, 2013 at 23:53
Oct 7, 2013 at 21:30 comment added Asaf Karagila Note that $\in$ and $\subsetneq$ are very different. The former is well-founded and the latter is not.
Oct 7, 2013 at 21:10 answer added Joel David Hamkins timeline score: 14
Oct 7, 2013 at 20:00 history asked user36136 CC BY-SA 3.0