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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.
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Yeah, the different patterns vs (seeming?) chaos I'm seeing here are confirming that this is my kind of rabbit hole. I'd imagine there are all sorts of philosophy discussions around this too?
Have you read Gödel, Escher, Bach?