There's true logic and there's false logic. Satan relied on false logic in his temptation. Jesus relied on true logic to rebut him. I've demonstrated 2sheep's circular reasoning against celebrating Christmas to be false logic (and no, I'm not comparing 2sheep to Satan).
God is the author of logic and it would be hard to live in a universe where things didn't function in a logical, orderly fashion. Jesus used logic in his parables and Paul employed logic as pretty much his sole method of argument in his epistles.
So why are you so against using logic? Could it be because you recognize that your position is illogical?