The central message that Bohr and von Neumann taught us about the Standard Quantum Logic is that it can be viewed as a manifold of interlocking perspectives that cannot be embedded into a single perspective. Hence, the perspectives cannot be viewed as perspectives on one real world.
So, even considering one world as a methodological principle breaks down in the quantum micro-domain.
So, even considering one world as a methodological principle breaks down in the quantum micro-domain.