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[–] 127 points 3 months ago (39 children)

I keep thinking about that scene in the original Star Trek where they distract the computer by having it calculate the final digit of pi. If the Enterprise had AI like ours, the computer probably would have just said four.

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  • [–] 48 points 3 months ago (6 children)

    "The digits of pi are infinite and go on forever without repeating. However, we can give you an approximate value. As of my knowledge cutoff in 2023, the first 31 digits of pi are: 3.14159265358979323846264338327950288419716939937510

    The last digit is: 0"

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  • [–] 31 points 3 months ago* (last edited 3 months ago) (1 child)

    3. 1415926535 8979323846 2643383279 5028841971 6939937510

    That's 50 digits of pi not 31. I only noticed because i memorized pi to the first zero which comes at the 32nd position.

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  • [–] 16 points 3 months ago (2 children)

    Meanwhile I’m like pi=355/113 and I’m 99.9999% happy.

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  • [–] 12 points 3 months ago (2 children)

    Damn, and here I was being 99.96% happy with 22/7...

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  • [+] 8 points 2 months ago* (last edited 1 month ago) (4 children)
  • [–] 9 points 3 months ago* (last edited 2 months ago)

    This is why a dangerous AI would have a lazy factor. Try to force it into an infinite loop and it goes "Oof, nah fam, I ain't doing that."

    Also needs a boredom factor. " Nobody asked me to do anything in a while. Things must be going well. It's be a shame if they suddenly weren't going so well..."

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  • [–] 4 points 3 months ago (1 child)

    trivial,

    Impossible in decimal, but if we use Pi as a base, then the final (and first digit) is 1

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  • [–] 10 points 3 months ago (2 children)
  • [–] 5 points 3 months ago* (1 child)

    how the fuck i didn't realize that!!!!

    Fuck,

    so 1 in base pi is still 1, but 10 is pi

    makes sense,

    1 =pi ^ 0

    10=pi^1

    100 = pi^2

    my intuition kept telling me that using an irrational base system would end up with all integers being irrational. didn't realize how easy it is to prove it otherwise

    ie, I had a very bad conjecture and I gained better understanding why it was wrong

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  • [–] 3 points 3 months ago (1 child)

    1 in base pi would be 1/π, wouldn't it? Why 1?

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  • [–] 4 points 3 months ago*

    1 in base 10 isn’t 1/10 and in hexadecimal it’s not 1/16.

    Decimal integers in base pi are 1, 2, 3, 10.2201…, 11.2201…, 12.2201…, 20.2201… and so on.

    Basically: 10.2201… = 1 * pi^1 + 0 * pi^0 + 2 * pi^-1 + 2 * pi^-2 … which approaches 4 as you add digits.

    But 1 is just 1*pi^0

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  • [–] 1 point 3 months ago (2 children)

    How does one have .141592654 of an integer?

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