Скачать или смотреть The Formal Foundations in Set-Theory and Logic (Introduction Probability Theory #1)

Welcome the first video of my Probability Theory Series!

In this first video, we lay the set-theoretical and logical foundations of probability theory. Before we can rigorously define probability, we need the language in which it lives: sets, operations on sets, and the logic that underpins them.

We cover:

The sample space and events as subsets of it

Core set operations (union, intersection, complement, difference)

Venn diagram intuition

Logical connectives and their connection to set algebra

Why these structures matter for building Kolmogorov’s axioms

This series aims to provide a quick yet formal introduction to probability: rigorous enough to be mathematically correct, but streamlined so you get to the core ideas without unnecessary detours.

Who is this for?

Students who want a concise but solid introduction to probability

Anyone refreshing their mathematical foundations

Curious minds who want to understand why probability works the way it does