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by CJefferson 1003 days ago
The reason is (a bit informally), the rules of maths said I could ask for “all the things which satisfy properly X”. So, it would be fine to ask for “all igiveup numbers” — there might be none, one, who knows, but we can ask for that.

Too much of maths asks “get me one (if it exists), or all, things that satisfy X”, that if that can’t be trusted to work, basically everything is suspect.