I am curious about your definition of the term 'determinism'. Some care is required in terminology, the term 'chaos' is used technically for certain types of evolution in deterministic systems (ones where initial conditions determine later ones).thanks for your very interesting reply. I did not mean determinism in the sense you mentioned. Though I certainly think there are lots of variables we might not know about and not know we don't know. And I do think that chaos types of events do contribute to what happens. I read Hume as well, but not physics.<quoted text>
One of the interesting aspects of the Bell inequalities is that they apply to *any* locally causal, realist system. In this, the term 'realist' means that things have definite properties at all times and 'locally causal' requires that all events are caused and the causes do not travel infinitely fast. It turns out that any such system will automatically obey certain inequalities in the correlations of certain observations. These inequalities are called Bell inequalities. It turns out that these inequalities are violated in the real word. In other words, the actual universe is either acausal, has causes that travel infinitely fast (which is sort of acausality also), or things do not have definite properties at all times.
Quantum mechanics is an acausal theory where particles often do not have definite properties and it also violates the Bell inequalities. it does agree with the observations.