Didn’t they do the same with set theory? You can derive a contradiction from the existence of “the set of sets that don’t contain themselves”… therefore, build a system where you just can’t do that.
(of course, coming from the axioms, it’s more like “it wasn’t ever allowed”, like in Kindly’s comment, but the “new and updated” axioms were invented specifically so that wouldn’t happen.)
Didn’t they do the same with set theory? You can derive a contradiction from the existence of “the set of sets that don’t contain themselves”… therefore, build a system where you just can’t do that.
(of course, coming from the axioms, it’s more like “it wasn’t ever allowed”, like in Kindly’s comment, but the “new and updated” axioms were invented specifically so that wouldn’t happen.)