So as weird as it sounds not all infinities are equal. For example there is an infinite set of odd numbers. That set will never include the number 2 though.
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cactopuses@lemm.ee 1 week ago
Just thinking at a high level, an infinite number of monkies should hypothetically almost instantly produce Shakespeare (or at least as quickly as they can type)
Conversely, 1 monkey would eventually produce it given infinity time.
ohshittheyknow@lemmynsfw.com 1 week ago
figjam@midwest.social 1 week ago
Two is the loneliest number?
RickyWars@lemmy.ca 1 week ago
OK but what if we had one monkey typing away for every real number between zero and one?
BluesF@lemmy.world 1 week ago
One monkey may never produce it even given infinite time. It could just produce an infinite string of the letter a and never change it’s mind. That’s less likely that it writing hamlet, or even many hamlets… But nonetheless, it could. In fact all of the infinite monkeys could do that. If you repeated the experiment and infinite number of times, it’s likely that one of them will simple produce an infinite number of infinite strings of only the letter A. Or, idk, ASCII art.
jacksilver@lemmy.world 1 week ago
This is the same type of criticism the paper made. The real intent behind the saying is given random output (where all outputs have nonzero probability) eventually you will create anything/everything.
Its a thought experiment around infinity, probability, and art.
Ephera@lemmy.ml 1 week ago
Yeah, I haven’t read whatever paper this is talking about, but I imagine, it’s looking at the saying in a more literal fashion for the sake of argument…
chakan2@lemmy.world 1 week ago
That’s why a monkey is used in the thought experiment. Monkeys do think at a low level. As it goes insane over centuries of imprisonment in front of its jailer, it’s likely going to try complex solutions to get out. Think of the hell infinity would really be for this monkey.
BluesF@lemmy.world 1 week ago
Yes, and given infinite monkeys no doubt they will eventually evolve into something that allows them to escape!
IHateReddit@lemmy.world 1 week ago
1 monkey would likely die before producing Shakespeare
cactopuses@lemm.ee 1 week ago
oh absolutely, this is purely a thought experiment of course.
yuri@pawb.social 1 week ago
not if it’s an infinite monkey
JackbyDev@programming.dev 1 week ago
Well, an infinite number would.