In the paper it is demonstrated that integration of products of sign functions and probability density functions such as in Bell’s formula for ±1 measurement functions, leads to inconsistencies. Keywords Inconsistency, Bell’s theorem.
In the paper it is demonstrated that two equally consistent but conflicting uses of sign functions in the context of a simple probability density shows that Bell's formula is based on only one consistent principle. The two conflicting principles give different result. However, according to use of powers, i.e. 3×(1/2)=(1/2)×3, one must have the same result in both cases.