My opinion and verbiage:
There is what I call definitional logic and ideal logic. Definitional logic is what we know. Ideal logic is what we don’t know.
Definitional logic is not unlike that undertanding of physics that got us to the point where that understanding changed (Newton, Einstein, etc.). Ideal logic is is not unlike quantum physics, or any physics, that we will eventually come to know. At one time Newton was all we knew and Einstein was part of the Ideal that we did not yet know. Now we know him and move on, toward the rest of the ideal.
So, definitional logic requires that you cannot have “A” and “Not A” in the same place at the same time. We know that.
What we don’t know is that you actually can have “A” and “Not A” in the same place at the same time. When we know that, then we will understand quantum physics is correct. And not. And we will be comfortable with it.
So, what I am saying in response to your specific question is this: neither quantum physics nor logic are wrong or incompatible. They only appear that way because we have saddled ourselves with flawed definitions of them; i.e. we don’t know everything, and what we do know is far from complete.
There is a reason why they say everytime we learn something new, a thousand new questions arise. As if we had made no headway at all.
All we know is that we know nothing. Or however The Man (Socrates/Plato) said it. So, the next time someone tells you X, you can rest assured it’s merely definitional and not ideal. We keep crawling out of Plato’s cave toward that blinding flash of light. Some call it God and if we were to see it now, we couldn’t handle it. We must crawl or it would blow our mind. We just hate crawling. So to hell with definitions. Blow your mind: “A” = “-A”.
On another thread, some guy was talking about the difference between “knowing” and “understanding.” Well, it is the physisists job to understand and that takes crawling. I may know that “A” = “-A” but I don’t understand it, and for that reason I can’t put it to any practical use. I need physists to understand it and make it work. But if they are going to stick with definitions as they exist now, then I’m going to have a long wait. I need some physists to think outside the box (i.e. definitions) and then come back and tie up the loose ends.
So let’s get with the program people! I want to time travel and all that other good shit before I die. Move! Move! Move!