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> Even today it’s regarded with suspicion in a way that most mathematical axioms aren’t. This is a common misconception. You either use it as an assumption, or
by mikorym 6y ago
> Even today it’s regarded with suspicion in a way that most mathematical axioms aren’t.
This is a common misconception. You either use it as an assumption, or you do not, as is the case with the parallel postulate. There need be no controversial sentiments. In the same way complex numbers were briefly "controversial", but as mathematicians we shouldn't bring too much opinion into the matter; we should only follow the argument. In the last paragraph the article seems to admits that the approach is you either assume it or you do not.
- sukilot 6y agoIt's controversial in the way addition is not. It's controversial as to which axioms should be the common default in the language, and where research funding should be spent.