(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox

ball -> tear down to pieces -> rigid transformation (translation/rotation) -> two balls identical to the original one

 two ways to resolve the paradox

(PP 1.2) Measure theory: Sigma-algebras

proof of 3:

(PP 1.3) Measure theory: Measures

 

 

(PP 1.4) Measure theory: Examples of Measures

father of modern probability theory

three example of probability measure

[Probability Primer] {Measure theory}

原文：https://www.cnblogs.com/ecoflex/p/10987523.html