Do you have the right to be an atheist?

[Chas]

There is no necessity to define all gods in order to understand that people with specified god beliefs fall under the heading of 'theist'.

Theism is a huge category, under which, the belief in many gods fall.

But if a set X is supposed to have only natural numbers and if a non-natural number belongs to X,that is,is an element of X.
Doesn't that mean that the definition of X is wrong?

Why do you imply that all the elements doesn't have to be natural numbers and the description of the set X as the set that consists of natural numbers would still hold in the event that a element x of X is identified as not a natural number?

Your arguments are nonsense.   You attempt metaphors that are clearly inapt.