In this paper (presented at the 1989 Maximum-Entropy and Bayesian Methods conference), Jaynes shows how Bayesian probability methods can cast new light on problems in physics. He starts with a derivation of Einstein's diffusion formula and then moves into discussing the "mind projection fallacy", the EPR paradox, and Bell's inequality.
Jaynes takes the controversial point of view that Bell's inequality does not rule out all hidden variable theories, and claims that the conventional interpretation of Bell's inequality is based on a misapplication of probability.
You may or may not agree with Jaynes on this issue, but regardless it's a fascinating read.
Jaynes should have known about the Kochen-Specker theorem [0][1]. I imagine that he thought it was, since it came along with Bell's theorem, simply a corollary or remark. But I think he was wrong to be so confident in the ontic nature of reality.
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[ 2.6 ms ] story [ 9.5 ms ] threadJaynes takes the controversial point of view that Bell's inequality does not rule out all hidden variable theories, and claims that the conventional interpretation of Bell's inequality is based on a misapplication of probability.
You may or may not agree with Jaynes on this issue, but regardless it's a fascinating read.
[0] https://en.wikipedia.org/wiki/Kochen%E2%80%93Specker_theorem
[1] https://plus.maths.org/content/proof-kochen-specker-theorem