Language of Probability

FS 2025 | University of Zürich | Dr. Michael Hediger

“Language of Probability” provides a foundation for probability theory. It covers essential theoretical backgrounds in set theory, analysis, measure theory, and integration. Fundamental probabilistic concepts such as probability spaces, random variables, and laws are introduced, culminating in the study of random vector convergence.

This self-contained, introductory course offers precisely the theoretical tools needed for a rigorous treatment of probability theory. It is designed to build the necessary framework for advanced study in this field.

  1. Sets and Order Structure
  2. Functions, Cardinality and Distance
  3. Sequences
  4. Measurable Spaces