... can't affect the logic. It may affect what you're choosing to logically prove, but not the logic itself. That is where you have to look at the "selected domain" problem. People who have a strong axe to grind may reason logically, but very carefully select the "truths" (postulates) that they accept so as to be able to prove the thing they want proven.

People who freqently arrive at correct answers from incorrect premises? The only ones I knew appeared, to me, to simply be disjoint in their thinking; their EXTERNAL processes were incorrect, but somewhere in their gut they seem to understand what was really going on. (this is most common in the physical and financial arenas)