• yesman@lemmy.world
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    16 days ago

    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.

    • perviouslyiner@lemmy.world
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      16 days ago

      "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"

    • Agent641@lemmy.world
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      15 days 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…"

        • 🍉 DrRedOctopus 🐙🍉@lemmy.world
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          16 days ago

          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

            • setsubyou@lemmy.world
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              16 days 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