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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?

    bonehousewasps@beige.partyB This user is from outside of this forum
    bonehousewasps@beige.partyB This user is from outside of this forum
    bonehousewasps@beige.party
    wrote sidst redigeret af
    #11

    @mcc More than a few. But less than 'infinite'. In fact, compared to 'infinite' , it might as well be 'one'.

    One monkey.

    "So why couldn't that one monkey have been you?" - my mother.

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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.

      jsit@social.coopJ This user is from outside of this forum
      jsit@social.coopJ This user is from outside of this forum
      jsit@social.coop
      wrote sidst redigeret af
      #12

      @mcc @thattommyhall I remember learning this when I learned that Curious George doesn’t have a tail and is therefore most likely a “curious little ape,” not “monkey.”

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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?

        yuki@im-in.spaceY This user is from outside of this forum
        yuki@im-in.spaceY This user is from outside of this forum
        yuki@im-in.space
        wrote sidst redigeret af
        #13

        @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/

        ellenor2000@mastodon.topE mcc@mastodon.socialM estelle@mstdn.socialE davidtheeviloverlord@mastodon.socialD 4 Replies Last reply
        0
        • 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/

          ellenor2000@mastodon.topE This user is from outside of this forum
          ellenor2000@mastodon.topE This user is from outside of this forum
          ellenor2000@mastodon.top
          wrote sidst redigeret af
          #14

          @Yuki @mcc Horrifying #lang_en

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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/

            mcc@mastodon.socialM This user is from outside of this forum
            mcc@mastodon.socialM This user is from outside of this forum
            mcc@mastodon.social
            wrote sidst redigeret af
            #15

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

            davidtheeviloverlord@mastodon.socialD 1 Reply Last reply
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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?

              cinebox@masto.hackers.townC This user is from outside of this forum
              cinebox@masto.hackers.townC This user is from outside of this forum
              cinebox@masto.hackers.town
              wrote sidst redigeret af
              #16

              @mcc William Shakespeare was an ape… unless he had a tail we don’t know about

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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?

                stereo@sunbeam.cityS This user is from outside of this forum
                stereo@sunbeam.cityS This user is from outside of this forum
                stereo@sunbeam.city
                wrote sidst redigeret af
                #17

                @mcc n monkeys (1 per year) seems unlikely so maybe n² monkeys (1 in the first year, 2 in the second, etc.) for about a quadrillion 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?

                  doephin@kind.socialD This user is from outside of this forum
                  doephin@kind.socialD This user is from outside of this forum
                  doephin@kind.social
                  wrote sidst redigeret af
                  #18

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

                  oblomov@snowfan.itO 1 Reply Last reply
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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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                        0
                        • 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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