I don't believe in logic; I believe in reason.
Logic can get you from point A to B, work from problems to solutions, establish rules, and so forth.
Reason on the other hand asks questions, looks for causes, searches for the why, and invents new ideas about where those things could go.
Ideally, I think a little logic can give us a foundation or structure to work with, but reason really puts the building blocks together.
If you ask me, logic seems more about absolutes and determinism, whereas reason could be the "what-if" contingencies that have all promise to open up amazing new possibilities!
"True virtue is life under the direction of reason." - Baruch Spinoza
Okay, I think I just sufficiently took all of you logic-obsessed freaks back to the blackboard!
Now matter how you try to prove stuff with logic as you may understand it, simply shifting the rules into another context can turn your whole world on its head!