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What does it mean for something to be "random"? We might have an intuitive idea for what randomness looks like, but can we be a bit more precise about our definition for what we would consider to be random? It turns out there are multiple definitions for what's random and what isn't, but a particularly interesting idea is that of Kolmogorov randomness. Here, we take a look at Kolmogorov randomness (defined in terms of Kolmogorov complexity) to understand what the intuition behind it is and to develop a sense for what it really means for a sequence of values to be random. 0:00 Randomness 1:18 Kolmogorov Complexity 3:52 Kolmogorov Randomness *** Spanning Tree is an educational video series about computer science and mathematics. See more at https://spanningtree.me To be notified when a new video is released, sign up for the Spanning Tree mailing list at https://spanningtree.substack.com/ Spanning Tree is created by Brian Yu. https://brianyu.me/ Email me at [email protected] to suggest a future topic.