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Just found out about the 3x+1 problem. I kind of feel like it’s just randomness at play.
Like of all the infinite ways you could have an equation couldn’t it just be that as you have more and more the probability of x thing happening just raises, so it’s a given that this thing happens. Maybe there’s something I don’t get idk #maths
@louiscouture there are infinitely many such equations that would not converge to anything, so if you just pick even a bajilion of them at random you will never get one that does the thing you want. If it was that easy all problems would be solved by now, by just trying out some random formulas.
The process is clearly not picked at random, one condition is meant to increase the number while the other decrease it, so you gotta explain why n/2 always wins at the end and gets you down to 1, instead of 3n+1 flinging you off to infinity.
