The Picard ManeuverM to Lemmy [email protected] • 2 months agoInfinite Monkey Theoremlemmy.worldimagemessage-square75fedilinkarrow-up1935
arrow-up1935imageInfinite Monkey Theoremlemmy.worldThe Picard ManeuverM to Lemmy [email protected] • 2 months agomessage-square75fedilink
minus-squareJackbyDevlinkfedilinkEnglish10•2 months agoThe funny thing is, if you truly have infinite monkeys, it doesn’t matter if they’re using it correctly or not. There is an infinite amount of them.
minus-square@[email protected]linkfedilinkEnglish4•edit-22 months agoSome infinities are bigger than others, though. Even if you have countably infinite monkeys typing countably infinite strings for an infinite period of time, there will be an infinite number of strings that the monkeys haven’t typed, that will never be in the set of completed typed strings. Cantor’s diagonalization proves it.
The funny thing is, if you truly have infinite monkeys, it doesn’t matter if they’re using it correctly or not. There is an infinite amount of them.
Some infinities are bigger than others, though.
Even if you have countably infinite monkeys typing countably infinite strings for an infinite period of time, there will be an infinite number of strings that the monkeys haven’t typed, that will never be in the set of completed typed strings.
Cantor’s diagonalization proves it.