Saying that last bit about time is not particularly meaningful for two reasons.
First of all, we do not especially know the end state of the universe. It may not be true that all matter decays, and protons may be stable. We may be in a false vacuum which will spontaneously collapse in large timespans.
Second of all, the hypothetical is a thought experiment. The monkeys are a placeholder for any random generation of characters. The though experiment also does not take into consideration the food required to feed monkeys for infinite time, nor their aging, mutation over generations, and waste logistics. It’s not meaningful then to suddenly decide to apply the laws of physics to them. The only laws applicable in this scenario are logic and mathematics.
I generally agree with the rest of your take, I only have an issue with that last point lol. Cheers.
Blue_Morpho@lemmy.world 1 day ago
A more interesting calculation the mathematician should have done is how many monkeys are needed to write Shakespeare in the lifespan of the universe rather than starting with 200k.
Buddahriffic@lemmy.world 22 hours ago
I don’t think there is a finite number of monkeys that would be guaranteed to do so in the lifespan of the universe.
Best we could do is calculate the expected number of monkeys it would take, assuming accurate probabilities, which I also don’t think is possible to determine.
You can’t just take one divided by the number of possible characters that could be typed because monkeys can do many things other than typing away. A high portion of them would likely instead destroy the typewriter. In the infinite monkeys scenario, an infinite amount would destroy their typewriter in the middle of Hamlet’s to be or not to be soliloquy.
Plus the odds of it actually happening are going to be so astronomically low that if you filled the known universe with monkeys, you’d end up with monkey stars and black holes before any Shakespeare.
It really only works as a thought experiment about the nature of infinity.
Unless there’s an infinite multiverse, in which case we are in the universe where a monkey wrote out the complete works of Shakespeare. That monkey’s name? Shakespeare. (And yes, many clapped when he did so.)