Please go back and read my last post, the part about counsellors. This above statement proves my point exactly. Logic is defined as pure reason and facts and is universal. The logic you deal with is more of a persnal one. Dealing with human behaviour (which is not always logical) and is the use of feeling and logic, NF, instead of logic and reason, NT.
Why couldn't you think of human behavior in terms of probabilities, frameworks, problem solving, etc.?
"Pure reason" <-- what does this even mean? A bunch of if/then statements? I don't see why you couldn't apply that to human behavior. It'd be pretty complex, sure, but it's not like humans are physically made up of anything different than any other object.
Yes, it's true that I focus some of my logical analyses on people (making inferences about what their assumptions are, etc.) But so do NTs. I probably focus on people more than most NTs, but definitely not all of them.
I excel more at math, computer science, physics, etc. than in other subjects in school. I have a math mind. (= a logical mind?)
I've also been typed as INTP multiple times.
My point is essentially that MBTI is quite a limited system, and people should be careful generalizing type characteristics.