In ZFC, given an inductive set A, such as the set of natural numbers, and an arbitrary set x, is it possible to construct another inductive set B containing x? If so, it can then easily be shown that the class of all inductive sets is a proper class. My attempts to construct such an inductive set B, while being careful to prove the existence in ZFC of any new sets introduced, have failed.
2026-05-05 17:42:44.1778002964
Inductive Sets and Proper Classes
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