A Treatise on Probability

alternatives application argue argument arise arithmetic mean assert assume assumption axioms Bernoulli's Theorem binary stars Calcul des probabilités cause certainty Chapter characteristic conclusion correlation Czuber Daniel Bernoulli defined definition degree of probability depends determine discussed event evidence example existence experience fact favour finite probability follows formula frequency theory fundamental generalisation given h₁ hypothesis independent inference inverse inverse probability irrelevant judgments knowledge known Laplace law of error Laws of Thought Leibniz less limits logical magnitude mathematical mean method negative analogy number of instances numerical measurement objective chance observed occur particular possible precise premisses Principle of Indifference priori probability prob probable value problem proportion proposition h pure induction quantity question random rational belief reason relations of probability relative relevant result rule sense statistical frequency suppose Theory of Probabilities tion true valid Wahrscheinlichkeitsrechnung weight white balls