I do not know why the positive manifold is as it is. But it still seems like it is a precise measure of an inaccuracy. What I am getting at in a roundabout way

I do not know why the positive manifold is as it is. But it still seems like it is a precise measure of an inaccuracy. What I am getting at in a roundabout way is that I cannot find any credible definition of intelligence that is not dependent on the these tests. If intelligence were able to measured some other way that corroborated these tests, then I will be more likely to believe them.