The strangest number: Chaitin's Omega (Christmas Video 2020) [English subtitles]

The digits of the mysterious number Omega hold the answers to the Goldbach conjecture and the Riemann hypothesis. Can there be such a thing? Yes, this fascinating mathematical object really exists! On our way to Omega we'll encounter Turing's halting problem, algorithmic information theory and Kolmogorov complexity, the Berry paradox and the question of what randomness actually is.
Other videos with English subtitles:
* The Riemann Hypothesis (Christmas Lecture 2016): • Die Riemannsche Vermut...
* Almost all numbers are normal: • Fast alle Zahlen sind ...
* Four unsolved mathematical problems (Christmas Lecture 2015): • Vier ungelöste mathema...
* Teaching computers how to differentiate or: Why Lisp?: • Wie man Computern das ...
0:00:00 Introduction
0:02:49 Computability
0:21:19 Algorithmic Complexity
0:42:51 Halting Probabilities
1:04:07 Book Recommendations