When setting out to add a new axiom to a heavily studied area of mathematics, perhaps one should at least formulate an argument that isn't shown to be incomplet

When setting out to add a new axiom to a heavily studied area of mathematics, perhaps one should at least formulate an argument that isn't shown to be incomplete with the most basic wikipedia search. https://en.wikipedia.org/wiki/Division_by_zero https://en.wikipedia.org/wiki/Division_by_zero