Replying here due to max comment depth tree, to explain in more detail. About the link between boole's and bell's inequalities : There are tons of paper : A q

Replying here due to max comment depth tree, to explain in more detail. About the link between boole's and bell's inequalities : There are tons of paper : A quick search for example https://arxiv.org/pdf/quant-ph/0406004.pdf https://arxiv.org/pdf/quant-ph/0406004.pdf (I just skimmed it for a few seconds but it's probably talking about the right thing) In the paper you suggest https://arxiv.org/abs/1508.05949 https://arxiv.org/abs/1508.05949, there is nothing which looks like a probability definition. Assuming the world is using continuous fields, defining the probability for what register as a discrete event like a "blip" must be done carefully, it's not a trivial thing. Otherwise when you are taking joint probabilities and condition probability, it just tells you that those are questions you can't ask.