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  3. It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare.

It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare.

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  • mcc@mastodon.socialM mcc@mastodon.social

    It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare. However my thesis is that this formulation is naive, and we can in fact establish a far lower bound. Proof: William Shakespeare, a monkey, produced the works of Shakespeare. Therefore the number of monkeys needed to produce the work of Shakespeare is no greater than the number of primates who lived between Altiatlasius koulchii (57 million years ago) and 1610 CE. Roughly how many monkeys is that?

    russellsbarbershopquartet@monads.onlineR This user is from outside of this forum
    russellsbarbershopquartet@monads.onlineR This user is from outside of this forum
    russellsbarbershopquartet@monads.online
    wrote sidst redigeret af
    #19

    @mcc using overly generous estimates, let's assume a median number of a thousand extant simian species at any given year, a median simian population of 1 million individuals per species per generation, and a median generation time of 10 years. Atliatlassius is a fine enough spot to start the clock, which i'll round to 60 million years in the interest of conservatism and keeping only one sig fig.

    so that gives 6 * 106 * 106 * 103 / 101 = 6 * 1014, or a lower bound of 600,000,000,000,000, or a mere 600 quadrillion monkeys, as a conservative lower bound.

    edit: fix typo and clarify simians, not all primates, which would probably add another zero.

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    • mcc@mastodon.socialM mcc@mastodon.social

      @thattommyhall i actually until digging through wikipedia a moment ago assumed apes were a subcategory of monkeys. Apparently the actual monkey/ape supercategory is Simians. I'm not so sure about this. This feels like "bugs" to me.

      gparker@discuss.systemsG This user is from outside of this forum
      gparker@discuss.systemsG This user is from outside of this forum
      gparker@discuss.systems
      wrote sidst redigeret af
      #20

      @mcc @thattommyhall yeah, in my experience biologists don't use a cladistic or monophyletic definition of "monkey". So a typical biologist would say that humans are primates and simians and apes, but are not monkeys.

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      • mcc@mastodon.socialM mcc@mastodon.social

        It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare. However my thesis is that this formulation is naive, and we can in fact establish a far lower bound. Proof: William Shakespeare, a monkey, produced the works of Shakespeare. Therefore the number of monkeys needed to produce the work of Shakespeare is no greater than the number of primates who lived between Altiatlasius koulchii (57 million years ago) and 1610 CE. Roughly how many monkeys is that?

        muddle@infosec.exchangeM This user is from outside of this forum
        muddle@infosec.exchangeM This user is from outside of this forum
        muddle@infosec.exchange
        wrote sidst redigeret af
        #21

        @mcc LEAN in, sister.

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        • mcc@mastodon.socialM mcc@mastodon.social

          It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare. However my thesis is that this formulation is naive, and we can in fact establish a far lower bound. Proof: William Shakespeare, a monkey, produced the works of Shakespeare. Therefore the number of monkeys needed to produce the work of Shakespeare is no greater than the number of primates who lived between Altiatlasius koulchii (57 million years ago) and 1610 CE. Roughly how many monkeys is that?

          benjamin@piaille.frB This user is from outside of this forum
          benjamin@piaille.frB This user is from outside of this forum
          benjamin@piaille.fr
          wrote sidst redigeret af
          #22

          @mcc interesting theory.
          Knowing how fast sapiens monkeys grew in number the last 200years I'd say not more than 20 billions.
          Which is far from an infinite number of monkeys, very reassuring

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          • yuki@im-in.spaceY yuki@im-in.space

            @mcc One

            Let me point you to the multiple horse theory, but I have the conjecture it also applies to monkeys

            Maybe there's even only one horse-monkey

            This is to be determined

            https://multiplehorsetheory.com/

            estelle@mstdn.socialE This user is from outside of this forum
            estelle@mstdn.socialE This user is from outside of this forum
            estelle@mstdn.social
            wrote sidst redigeret af
            #23

            @Yuki @mcc if gold ship can cost japanese gamblers 12 billion yen in a single race, then if there is only one horse, you better make sure you bet on the right horse

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            • mcc@mastodon.socialM mcc@mastodon.social

              It's well known that an infinite number of monkeys will eventually produce the works of Shakespeare. However my thesis is that this formulation is naive, and we can in fact establish a far lower bound. Proof: William Shakespeare, a monkey, produced the works of Shakespeare. Therefore the number of monkeys needed to produce the work of Shakespeare is no greater than the number of primates who lived between Altiatlasius koulchii (57 million years ago) and 1610 CE. Roughly how many monkeys is that?

              itohsnap@mastodon.socialI This user is from outside of this forum
              itohsnap@mastodon.socialI This user is from outside of this forum
              itohsnap@mastodon.social
              wrote sidst redigeret af
              #24

              @mcc I’d argue this an equivalent thesis/proof proposal:
              “It’s well known that an infinite number of rolls of a D20 will eventually result in a 20 being rolled. […] I just rolled a D20 and got a 20 on my first attempt*. Therefore the number of rolls to produce a 20 is no more than one.”

              *my old D&D group knows this is a lie but roll** with me here
              **lol

              itohsnap@mastodon.socialI 1 Reply Last reply
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              • itohsnap@mastodon.socialI itohsnap@mastodon.social

                @mcc I’d argue this an equivalent thesis/proof proposal:
                “It’s well known that an infinite number of rolls of a D20 will eventually result in a 20 being rolled. […] I just rolled a D20 and got a 20 on my first attempt*. Therefore the number of rolls to produce a 20 is no more than one.”

                *my old D&D group knows this is a lie but roll** with me here
                **lol

                itohsnap@mastodon.socialI This user is from outside of this forum
                itohsnap@mastodon.socialI This user is from outside of this forum
                itohsnap@mastodon.social
                wrote sidst redigeret af
                #25

                @mcc Methinks this is actually calculating the number of monkeys(/simians) it took for *this particular* (uh) simulation to produce the works of Shakespeare, not an overall upper bound.

                (Apologies if I’m being pedantic and/or a killjoy; hope you feel better soon.)

                petealexharris@mastodon.scotP 1 Reply Last reply
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                • yuki@im-in.spaceY yuki@im-in.space

                  @mcc One

                  Let me point you to the multiple horse theory, but I have the conjecture it also applies to monkeys

                  Maybe there's even only one horse-monkey

                  This is to be determined

                  https://multiplehorsetheory.com/

                  davidtheeviloverlord@mastodon.socialD This user is from outside of this forum
                  davidtheeviloverlord@mastodon.socialD This user is from outside of this forum
                  davidtheeviloverlord@mastodon.social
                  wrote sidst redigeret af
                  #26

                  @Yuki @mcc

                  Would a horse-monkey evolve into a centaur?

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                  • mcc@mastodon.socialM mcc@mastodon.social

                    @Yuki the existence of one (1) horse-monkey would significantly upset evolutionary theory, i'd say

                    davidtheeviloverlord@mastodon.socialD This user is from outside of this forum
                    davidtheeviloverlord@mastodon.socialD This user is from outside of this forum
                    davidtheeviloverlord@mastodon.social
                    wrote sidst redigeret af
                    #27

                    @mcc @Yuki

                    The ancestor of the centaur?

                    Wait, you'd need at least two horse-monkeys, and some monkey business, before evolving centaurs.

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                    • doephin@kind.socialD doephin@kind.social

                      @mcc Minimum bound though; we could have gotten an outlier result

                      oblomov@snowfan.itO This user is from outside of this forum
                      oblomov@snowfan.itO This user is from outside of this forum
                      oblomov@snowfan.it
                      wrote sidst redigeret af
                      #28

                      @doephin @mcc not even minimum bound though. Following @itohsnap D20 comparison, if I rolled a 20 on the 5th roll, that wouldn't tell me that the minimum bounds on the number of rolls to get a 20 is 5.

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                      • itohsnap@mastodon.socialI itohsnap@mastodon.social

                        @mcc Methinks this is actually calculating the number of monkeys(/simians) it took for *this particular* (uh) simulation to produce the works of Shakespeare, not an overall upper bound.

                        (Apologies if I’m being pedantic and/or a killjoy; hope you feel better soon.)

                        petealexharris@mastodon.scotP This user is from outside of this forum
                        petealexharris@mastodon.scotP This user is from outside of this forum
                        petealexharris@mastodon.scot
                        wrote sidst redigeret af
                        #29

                        @itohsnap @mcc
                        Possibly works of Shakespeare follow a Poisson distribution with a very low probability of getting them per monkey-year. All we know at this point is we got one with the amount of monkey-years that have existed so far, but won't be able to estimate how probable it was until it happens again.

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