Does this thought experiment posit that BETWEEN the monkeys the complete works of Shakespeare can be compiled from individual words they type?
Or does it posit that ONE monkey, given infinite time, will produce an error-free complete works.
If it is the first scenario I can see this happening and I could actually imagine it working with just a large number of monkeys and a long time.
If it's the second scenario I have a problem. Not just that it is totally counter-intuitive or that infinite time is impossible to comprehend.
I realise that monkeys and typewriters are (fun) devices used to help think about complex theories pertaining to probabilities and infinity etc but I do have some serious questions:
Are the monkeys to be thought of as random letter generators?
If the experiment was posed as this - An infinite amount of monkeys, given infinite time could produce exactly the same sequence of randomly generated letters as another monkey had produced ( the same amount of characters as the complete works of Shakespeare) - I can understand that although this would be highly unlikely with a billion monkeys and a billion years, it WILL happen given infinity.
This is random letter generators producing a random sequence.
Shakespeare is not a random sequence.
I would argue that it is IMPOSSIBLE for a random letter generator to produce a work of non-random generated language of that length even given infinity.I accept that I don't know where the cut off point in length would be.
Why am I wrong? I assume that I am!