E.T. Jaynes was a mathematician and philosopher who, in the twentieth century, did perhaps the most to counter and wrongfoot the frequentist tradition in possibility theory. Jaynes tried to prove that the possibility calculus is rooted in logic – that it is, indeed, as Laplace said, “the calculus of inductive reasoning” – of which random experiments are merely a subset. In other words, Jayne tried to harden the hearts of all who were interested in probability against the idea that probability represented some objective property of objects – or a Popper put it, a propension. To Jayne’s mind, at the same time that the frequentist line attempted to demonstrate that probabilty was something objective, instead of subjective, it also abstracted, absurdly, from the laws of physics. His central case for this was the discourse around coin tossing. Coins, as Jayne points out, are physical objects, and their rise and fall is completely described by the physics of ballistics. (I take this example
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