Numerical zero has nothing to do with the issue discussed here. What you are proposing is to add another “number” to types like int and float that results in the program crashing whenever you try to add it to another number.
> What you are proposing is to add another “number” to types like int and float that results in the program crashing whenever you try to add it to another number.
There's already division by zero and NaN to trip you up in IEEE754.