[ks1723]

This is formalized in the Kochen–Specker theorem [1]. Quantum mechanics is shown to incompatible with the following three assumptions being true simultaneously: (1) locality, (2) non-contextually (independent of the context of the experiments (3) realism.

AFAIK, at least one assumption needs to go.

There is a nice paper by N. David Mermin illustrating the incompatibility [2].

[1] https://en.m.wikipedia.org/wiki/Kochen%E2%80%93Specker_theor...

[2] https://www.physics.wisc.edu/courses/home/spring2020/407/exp...