E. T. Jaynes gave a speech entitled A Backward Look to the Future in which he looked back on his long career as a physicist and statistician. The speech contains several quotes related to my recent post on what a probability means.
Jaynes advocated the view of probability theory as logic extended to include reasoning on incomplete information. Probability need not have anything to do with randomness. Jaynes believed that frequency interpretations of probability are unnecessary and misleading.
… think of probability theory as extended logic, because then probability
distributions are justified in terms of their demonstrable information content, rather than their imagined—and as it now turns out, irrelevant—frequency connections.
He concludes with this summary of his approach to probability.
As soon as we recognize that probabilities do not describe reality—only our information about reality—the gates are wide open to the optimal solution of problems of reasoning from that information.