And the study was even proven wrong in the 17th century. A finite amount of monkeys already produced Shakespeare in a finite amount of time; it took roughly 55 million years.
Source: Primates show up in the fossil records, dating to roughly 55mill years. And Shakespeare's complete works were most likely completed by William Shakespeare, a famous decendant of said primates.
As I pointed out elsewhere about this: it also is based entirely on probability, like cracking encryption. It could take longer than the universe will be around. But there's also the possibility they write Hamlet within a year because they got lucky.
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.
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?
Them saying that is like me saying Bizmuth isn't radioactive because it's half-life is many, many times longer than even the most conservative estimates for the heat-death of the universe.
In finite time that's effectively true, because the universe itself would decay before a block of bizmuth lost any significant weight - but it isn't physically true, because with infinite time a block of bizmuth left completely alone would evaporate away via alpha decay.
And that's the point of infinite time - to let you throw away time and probabilities as obstacles and strictly focus on whether something couldphysically happen, rather than the odds of it occurring.
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.
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.
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".
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.
‘If infinite monkeys type everyday they might accidentally write Hamlet the play. But they’ll probably just shit on it and throw it away; in the infinite monkey cage!
Ð ſtu̇dı ƿėz t ſı ƿėt tuımfreım Shakespeare kᵫd huıpėþetikėlı imṙdj ovṙ. Ð rizu̇ltſ ſu̇djeſt ðæt enı givin mu̇nkı ƿᵫd nıd ė greıtṙ ėmaunt v tuım ðæn ðeıṙ ƿᵫd bı u̇ntil hıt deþ t prėduſ ıvin ė rekėgnuızėbėl ėmaunt v Shakespeare.
spoiler
The study was to see what timeframe shakespeare could hypothetical emerge over. The results suggest that any given monkey would need a greater amount of time than there would be until heat death to produce ecen a recognizeable amount of Shakespeare.