"Logic, logic, logic. Logic is the beginning of wisdom, Valeris, not the end." Captain Spock, Star Trek VI.
While I see logic as a great tool in the toolbox of life, I also understand the existence of contradictions that could potentially drive you mad if you attempted to unravel them all . . . . if you accept occasional contradictions here and there, they will not break the vase, and may well preserve your sanity.
I see something my way and you see it another. Who is right? Maybe we both are! I see part of the truth and you see another part of the truth. If I can see it your way too, I'll see the whole truth. I think there is some logic in that.
I once explained this to someone using part of Einstein's Theory of General Relativity . . . . If you are on a train, and you drop a rock from it, you see, irrefutably, (neglecting air resistance of course), the rock drop to the ground in a straight path . . . . . but the observer who is watching the train go by, sees the rock drop in a parabolic curve . . . .