Trying to Redefine Atheism Fails, Part 3

Regarding whether a person who has a split brain where each hemisphere signifies they are an atheist and a theist and whether we should call the person a theist or an atheist.

Let me reiterate that all I am arguing for is the ambiguity of reality in contrast to the starkness of binary terminology, and therefor the inadequacy of binary terminology.

Binary terminology is not the problem here, it is the ambiguity of the definitions. The definition of theism is the problem here. If the definition of theism is, a person who believes in a deity, then applying it to a part of a person would be a category error. The answer would be not applicable and not applicable.

If the definition of theism is an entity that has a belief in a deity, then you can apply that to a subset of the mind, and half the brain would be theistic and the other half would be atheistic. By this definition, the whole person would be considered a theist since since it has a belief that a deity exists. Sticking with this definition of theism, if we choose to define atheism as an entity that has belief that there is no god, then atheism and theism are no longer mutually exclusive, which is a bizarre conclusion. However, if we define atheism as not theism, then atheism and theism remain to be mutually exclusive.