Check out old zeno...
The fact is - logic when applied cannot be wrong. But. A human, being equipped with a high-powered inductive/abductive brain, is incapable of performing logic. Even when emulating logic, a human is incapable of supplying it with the fundamental facts to operate on. We don't realize it, but all our facts have fuzzy edges... they're induced and abduced from all over the place, and we don't have a file allocation table to refer us to any "ding am sich".
So, yes, logic is the pure infallable - pure because it's totally free of abuse, being free of use too.

EDIT: If that was confusing, the point is this. No performer of "logic" actually performs logic. They emulate it, and jerry-rig it to take an unacceptable input. And in doing so, they become incapable of realizing that no, that wasn't logic. It's was, at best, lodgyc.