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I don't know if the Collatz Conjecture has triggered much philosophy. It seems too simple even for that. I guess the big philosophical question is: how can something so simple lead to such complex, chaotic behavior?

Have you read Gödel, Escher, Bach?

I have it and I've kinda flipped through it. I don't think i've ever read it start to finish.

how can something so simple lead to such complex

Yeah, that's kinda where I was going. Reminds me of Game of Life in that regard.

Gödel, Escher, Bach has to be my all time favorite book amongst books that I've never actually made it to the end...

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maybe I'll give it another go

the idea is pretty fascinating

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I've said that so many times, never finished, and still didn't regret it. lol

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