Comments by "kazedcat" (@kazedcat) on "Рамануджан: осмысление равенства 1+2+3+... = -1/12 и его сотоварищей." video.

  1. The only criteria for mathematics is that the rules don't conflict each other. You can not only bend the rules but change them all together. This means that things don't stay wrong or correct under different kind of mathematics. An example of this is that the sum of inside angle of a triangle is 180 under Euclidean geometry but is wrong on Spherical geometry. You need to be carefull what set of rules you are using and check if the rules make sense in your application.
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  2. +Caterina Puca Mathematics is not universal it is based on assumption that we declare as truth. Like how we add infinite series. The normal way is to add partial sum but that is not the only way. Cessaro sum is represented with aliens because to them partial sum might not be the natural way and Cessaro summation makes more sense for aliens. You are allowed to used it as long as you know that it is completely different mathematics and you understand that they follow completely different rules.
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