Commentary by cpressey on Probability Theory works ================================================== ### Probability, Statistics, and Data Has a few fairly decent explanations of basic concepts in it. Several editions from 2019 to 2021 are available online. ### Probability Theory (Jaynes) A critical foundational construction of probability theory, conceptualizing it as an extension of logic. ### Probability Theory without Bayes\' Rule ### Kolmogorov axioms - Wikipedia ### Is probability physical or idealistic? Is probability an inherent part of nature/reality? ### In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? ### A and B are independent. Does P(A ∩ B\|C) = P(A\|C) · P(B\|C) hold? ### lattices made by \$a\\wedge b = ab\$ and \$a\\vee b=a+b-ab\$ ### Q: Is it possible to choose an item from an infinite set of items such that each one has an equal chance of being selected? | Ask a Mathematician / Ask a Physicist ### Is the Axiom of Choice inconsistent with Countable Additivity? ### Do Bayesians accept Kolmogorov\'s axioms? ### bayesian probability and measure theory ### Does the law of large numbers explain why quantum mechanics leads to statistical regularities? ### stochastic calculus - Why is Brownian motion useful in finance? ### Algebraic Probability -- Almost Sure ### 254A, Notes 5: Free probability \| What\'s new