Probability, Statistics, and Truth

apply assume assumption attribute axiom Bayes's Bayes's Theorem Bernoulli bility Brownian motion calculated Chevalier de Méré classical mechanics classical theory concept of probability consider corresponding death defined definition of probability derived dice discussed distribution elements equal probabilities example existence experiments fact finite formulation frequency definition frequency theory fundamental operations games of chance geometry given infinite sequence initial collective instance interval investigation kind Large Numbers Law of Large lecture length Lexis's limiting value logical long sequence mathematical mathematicians means measure mechanics method molecules n₁ n₁/n Newtonian mechanics obtained occur original partial sequence phenomena physical place selection point of view Poisson Poisson's Theorem possible principle priori prob proba probability calculus probability theory problem properties proposition question randomness ratio relative frequency rule scientific sequence of observations single statement statistical functions theory of probability throws tion total number values of relative velocity words