The essential statement of QM is that nature is fundamentally random and unpredictable. This is not the ordinary kind of randomness you get when bouncing a few ping pong balls around the room, it is much more profoundly random than that. So random that particles appear and disappear out of nowhere, jump through walls, and otherwise become incredibly and almost magically unpredictable.
Also, I still don't see how, just because synergy and paradox may be opposite sides of the coin, they are necessarily paradoxical, or how they in any way make reference to each other.
Both synergy and paradox are root metaphors, fundamental principles, and natural observations. Everything can either be described as synergistic or paradoxical. In fact, nothing has ever been proven to be just synergistic or just paradoxical. Even Quanta display both properties. Is it a particle or a wave, mass or energy, etc.? Well, it is evidently both.
Like the paradox of existence then, quanta appear to be somehow both rational and irrational. Obviously we do exist and existence is to a great extent very rational and orderly, but by that same token it makes no sense whatsoever. Every possible attempted explanation of existence leads to paradox and, as with quanta again, a great deal of existence appears to be paradoxical. To say that nature and existence both make sense and do not make sense is a paradox.
Again, I have to ask, is this thread about applying logistic paradox (conclusions based on self-contradictory propositions) to existence, or about the unexplainable nature of existence?
How many times do I have to say it, paradox has different meanings for different people. Broadly it refers to the irrational, inexplicable, self-referential and self-contradictory, or merely contradictory but somehow true. I'm discussing all of these definitions which all more or less fall under the category of the irrational. You could also say they all fall under the category of the indeterminate or inexplicable, but perhaps irrational is best for this discussion. It covers all the bases including that of logicians definition of paradox as self-referential and self-contradictory.