I didn't get a chance to read the whole thread, but in some models of understanding thoughts and behaviors, logic and intuition are placed at opposing ends of a continuum. Even in the old Star Trek dichotomy of Mr. Spock and Kirk we find this way of organizing thought explored.
MBTI organizes this differently and there are examples where intuition and logic can work in tandem. The thread i started about Susan Polgar, a chess genius, demonstrates a way of combining these two thought processes.
I'm not convinced that placing logic and intuition at mutually exclusive poles is correct in the same way logic and empathy don't function at mutually exclusive poles. There is the possibility for the presence or absence of rational, logical thought, but what replaces logic/reason in its absence? Is it by default intuition or empathy? I have not heard a compelling case for a specific thought process that by default fills in for the lack of logic. You could certainly put logical and illogical at opposite poles, but being illogical is more an absence of reason than the presence of a certain way of thinking. The absence of intuition does not by nature produce logic any more than the absence of empathy produces logic.