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## Main Question or Discussion Point

What exactly is a set with no elements? What does it mean? Aren't sets entirely defined by their contents? In what manner is a set with no contents defined?

I'm not arguing for or against such an axiom... I simply want to know what the axiom actually is saying. If an empty set is not well-defined, what is it actually asserting?

I'm not arguing for or against such an axiom... I simply want to know what the axiom actually is saying. If an empty set is not well-defined, what is it actually asserting?