Good day,
I would like to ask this question.
Proper class of surreal numbers is the largest ordered colection in givent Set theoretic universe. Now If we have a set theoretic multiverse as proposed by J.D. Hamkins does that mean that every proper class of surreal numbers is just countable from a "Larger Universe"?
Also may I ask you this: If we don´t demand ordering, can we have larger collections than surreal numbers? Also what has larger cardinality, Proper class of surreal numbers (with cardinality Ord) or some Large cardinal, lets say Mahlo?
Thank you very much, have a nice day.