She simply could not see the point in his logic.
In logic, there are usually two states, 0 and 1.
There is no basis in logic or experience for this position.
West saw the holes in her logic but would not back down.
He had none of her training in logic and philosophy.
He had seen that hole in the older man's logic from the beginning.
The most important judgments in logic are of the form "A is true".
His is also author/editor of several books in mathematical logic and computer science.
Why not consider the situation as a straight- forward problem in logic or mathematics?
Why did I ever sign up for a class in logic?
