The entire thing is utterly ridiculous. The meme is infinite monkeys.
The mathematician said, “But what if it was 200k monkeys?”
Reporters claim mathematician proved infinite monkeys meme is wrong.
200,000 does not equal infinite!
The whole thing is dumb if you accept a premise of “infinite monkeys”. An infinite number of monkeys will type the works of shakespeare immediately, because an infinite number of them will start with the very first key they hit and continue until the end. (So it’ll be complete exactly as fast as a monkey can type it, typing as fast as simianly possible, with no mistakes.) You don’t even need the infinite time.
It only becomes interesting if you look at the finite scenarios.
And BTW, the lifespan of the universe is finite due to the eventual decay of all matter, including the monkeys and the typewriters. There’s no infinite time.
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.
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.)
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 thought 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, although I disagree where you say the thought experiment is dumb. I only have an issue with that last point lol. Cheers.
The whole thing is dumb if you accept a premise of “infinite monkeys”.
If thats the point where you want to draw the line, I guess that it becomes dumb at exactly that point.
But the point of the thought experiment is that it says what you said: it will definitelly happen because infinity is absurdly big number.
If you follow it, you quickly end up with the Infinite Improbability Drive from The Hitchhikers Guide - if you have an infinite number of typewriters, an infinite number of them will be loaded with paper that already has the complete works of Shakespeare written on it
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You assume that monkeys are identical, communicate with each other and know what they are doing. Take one of these away and all of the infinite monkeys will press the same buttons basically making them one monkey. Take another and they will type random gibberish.
The point of the dilemma is for non of those to be the case. The point is can Shakespeare or anything valuable to humans appear in random given enough time and resources? Basically can “the AI” as we know it now that doesn’t actually have “I” create something new and valuable?
And the answer is(going from the basic maths) yes it may produce something cool but it also may never produce Shakespeare or anything cool and will never know what it can do and what it can’t.
200,000 does not equal infinite!
It’s close though. I can’t think of a bigger number.
True nathematician would never make a mistake distinguishing finite and infinite cardinality. Countability, on the other hand… (but that’s a separate issue)
It only took a couple billion monkeys a few million years but one did eventually write out the full works of Shakespeare
This is always how I’ve chosen to interpret the expression. It’s not a theory. It’s an observation.
It’s a thought experiment, not an observation. The idea is that if you have infinity and it’s truly random than eventually all possibilities emerge somewhere within that.
The idea of infinite monkeys typing randomly on infinite typewriters is that eventually one of them would accidentally type out all the works of Shakespeare. Many more would type out parts of the works of Shakespeare. And many many many more would type random garbage.
If we then take that forwadd imagine for a moment the multiverse is also infinite and random, then every possible universe would exist somewhere in that multiverse.
It can be taken in other directions too. It’s a way of cocneptualising the implications of infinity and true randomness.
Meanwhile actual Shakespeare had intelligence and wrote and created his works. Him being a monkey writing Shakespeare is just a sly humerous observation, but it has nothing to do with the actual meaning of the thought experiment and the idea it is trying to convey.
Also since it should happen once, that means that it also happens an infinite number of times, but a smaller infinity than the whole infinity.
Did you choose to overlook my intentional usage of the word “chosen” just to mansplain something obvious? I did not make my choice out of ignorance, but I appreciate you assuming I did.
Alas, not on a typewriter… Back to the drawing board!
No, the FIRST monkey to write Shakespeare used a feather and ink.
It only took a couple hundred years after all those millions for them to be written on the typewriter.
A property of hydrogen is that, given enough hydrogen and time, eventually it will write out the full works of Shakespeare.
Turns out not quite. In the monkey version Hamlet says, “To be, or what.”
What part of Infinity is a mathematician, of all people, failing to comprehend? So what if it takes until cosmological decade 1,000 or 1 million or 1mil⁹⁰⁰⁰, it’s still possible on an infinite timescale, of one could devise a way for it all to survive the heat death of the universe ad infinitum.
I have read the paper, the news make it seem like something that is not. It’s a tough experiment and mostly a joke. From the paper closing remarks:
Given plausible estimates of the lifespan of the universe and the amount of possible monkey typists available, this still leaves huge orders of magnitude differences between the resources available and those required for non-trivial text generation. As such, we have to conclude that Shakespeare himself inadvertently provided the answer as to whether monkey labour could meaningfully be a replacement for human endeavour as a source of scholarship or creativity. To quote Hamlet, Act 3, Scene 3, Line 87: “No”.
Hell, infinite monkeys over a finite amount of time or finite monkeys over an infinite amount of time does the trick.
It’s also possible that it’s not possible even on an infinite time scale. A quick example: if you asked an algorithm to choose a number, and you choose 6536639876555721, but the algorithm only chooses from the infinite number of even numbers, it will never choose your number. So for the monkeys, if they are just not ‘programmed’ to ever be able to write a whole Shakespeare play, they will not be able to even with infinite time and infinite moneys.
That research is worst type of reddit ACKCHYUALLY taken to academia
I fear the plague of reddit brainrot will soon make even research papers plain insufferable. Would you want to have moderator of 11 subreddits and holder of top 1% commenters achievement in your research group?
Something weird I’ve been noticing. Lately I’ve been unintentionally minimizing comments before I’ve finished reading them. Just happened with yours. It’s like some subconscious part of my brain goes “booorrring!” half way through reading anything longer than two sentences and immediately goes for the next dopamine kick.
And I’m not knocking your comment. I was genuinely interested in what I was reading. It’s just a little troubling. I dropped Reddit and Lemmy a while back because I felt like I was becoming addicted. I lasted a few months, but evidently I’ve fallen off the wagon.
Don’t worry I actually nurture my internet presence to be a little controversial and edgy. Not for every taste but those who enjoy we instantly are friends. It’s a filter of sorts. I want ppl who feel offended about such things to block me
Actually, we should be thankful for their divine presence.
Good glad to hear monkeys will produce their own unique literature instead of copying the classics.
It was the best of times, it was the blurst of times.
Damn. So close
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.
1 monkey would likely die before producing Shakespeare
oh absolutely, this is purely a thought experiment of course.
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.
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.
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.
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…
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.
Yes, and given infinite monkeys no doubt they will eventually evolve into something that allows them to escape!
Hell, an actually infinite amount of monkeys would produce the complete works of Shakespeare plus some originals in the same style in the exact amount of time it took to literally press the necessary buttons.
An infinite amount of monkeys each given an infinite amount of time would produce all infinite strings possible on a typewriter (this includes ones that just happen to be terminated with a neverending substring of blank spaces, i.e. one where the monkey stops or presses whitespace keys and nothing else an arbitrary number of times).
If a cure for cancer exists and is expressable through language, they would not only produce one, but it would be there in every single language transliteratable to a Latin script; it would be there in ASCII art; it would be there in literally every text-based form imaginable. Of course the trouble would be sorting the infinite wheat from the infinite chaff.
Edit: https://libraryofbabel.info/ for the finite strings of 3200 characters.
I mean, even if the typewriter had an extra button setting off a bomb, killing the monkey and all the monkeys around them, they’d still pull it off. That’s infinity baby.
That is wrong assumption. We know that even when something is infinite it may never reach required value. Shakespeare or anything else may be a unique event in the infinite space-time universe.
Back in my IT support days, IPX routing had a “Count to Infinity” problem when the number of hops between sites went above 15. We used to joke that this made 16 “Infinity”.
Being nerds at the time, we did napkin math to prove the Shakespearian Monkey Quotient was 256cmy (combined monkey years) for “Hamlet”.
Combined Monkey Years just aren’t the same since their lead singer left, I’m hoping they improve eventually.
Don’t worry, the reunion tour is in 35cmy
They already have, we evolved from a species you could colloquially refer to as monkeys. The ancestors of those monkeys went on to write Shakespeare
We evolved from the same species as monkeys did, not from monkeys. They weren’t actually monkeys until they were already very far removed from us. However, given that we are apes and thus there was at some point a human ancestor species that was ape and was not human the rest of that is right. Off the top of my head that species would probably be our last common ancestor with other apes. Edit: typo, I had spelt monkeys as monkies
See definition for colloquial
I know what colloquial means, but apes cannot be colloquially referred to as monkeys. They are to far removed. You are confusing something being colloquial with something being a common misconception, that many people do not understand taxonomy at a middle school level does not make it a correct statement. Also, colloquial generally refers to how “proper” the language is being spoken (including the usage of slang and stuff like that), and not the factual correctness of it.
Keep coping
infinite - infinite = infinite, take that infinite
Still stuck on step 1. Get infinite monkeys.
We’re gonna need a bigger sedan…
This thread could well have been written by an infinite amount of monkeys, too.
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But monkeys never ask questions.
Science has yet to determine if monkeys would be able to type “wherefore art thou Romeo?”
I welcome the visual once BBC realises the limit as k goes from 0 to pos infinity, of sum n=0 to k, for (1 / (1 + n)) actually converges and has a real solution.