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- The following topics will be covered in this lecture:
- Basic set theory
- Probabilistic experiments with finite outcome spaces
- Basic probability
- Discrete random variables
- Continuous random variables
- Parameters of probability distributions

- In the nineteenth century, the Georg Cantor developed the greater part of modern set theory.
- Set theory is at the basis of mathematical logic and how mathematical objects are ordered in hierarchies of classes with certain properties.
- At the turn of the nineteenth and twentieth centuries, Ernst Zermelo, Bertrand Russell, Cesare Burali-Forti and others found contradictions in the originally proposed set theory, with one of the famous results being Russell’s paradox.