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by kgwgk 2556 days ago
There are established theories of probability that have nothing to do with ergodicity. See for example:

Laplace - Théorie analytique des probabilités - 1812

Keynes - A Treatise on Probability - 1921

Jeffreys - Theory of Probability - 1939

Savage - The Foundations of Statistics - 1954

de Finetti - Teoria delle Probabilità - 1970