First the difinition of given of a field is wrong https://en.wikipedia.org/wiki/Field_(mathematics) https://en.wikipedia.org/wiki/Field_(mathematics) . But why

First the difinition of given of a field is wrong https://en.wikipedia.org/wiki/Field_(mathematics) https://en.wikipedia.org/wiki/Field_(mathematics) . But why not? the author might not know but 1/0 is by definition the inverse of 0 and that s why 1 * (1/0) = 1. What he do is extanding the definition of the division FUNCTION. And you can always do that. But by doing that you lose most of algerbaic and arithmetical propreties for numbers. But worst! There exists 1/ 0 = infinity, but also infinity * 0 = 0(in probability). So please stop creating fake controversies about stuff that really doesn t need ANY DEBATES.