You'll find this an interesting watch:
Reinventing Entropy Compression is Intelligence Part 1
3blue1brown https://youtu.be/l6DKRf-fAAM?is=ne73FCJ7ErXhzZ-v
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Also this article by Ted Chiang as a literary explanation of the connection between intelligence and compression: https://www.newyorker.com/tech/annals-of-technology/chatgpt-...