>>11514861There's something interesting my professors told us about about rigor as beginning students
>when Euler fudges notation and ignores rigor, he creates beautiful, insightful mathematics>when you ignore rigor, you prove 1 = 0obvious joke aside, you need to earn both the experience and credibility to fudge past rigor in order to develop some ideas, and then formalize later. This is more or less the process of becoming a working mathematician - and the reason why they can do it and produce valid mathematics is because they have the experience to see we can derive something meaningful and be rigorous later on.