this post was submitted on 01 Nov 2024
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Trash "research" and trash journalism covering it. First they find that monkeys would write Shakespeare, it would just take on average longer than the entire existence of the universe. They then try to infer that how long it takes is relevant. It is not. The calculation is vaguely interesting as a curio but the shoehorned "discussion" and interpretation to get attention is crap and another example of bad science misleading people.
It's pointless and stupid - the thought experiment itself is that infinite monkeys typing would eventually type the whole of Shakespeare. Not how long it would take. The whole point of it is that in a truly random system all known patterns should eventually emerge somewhere within it. The length of time it takes for the pattern to emerge is irrelevant as the idea is based in infinity. So for example if there is a truly random infinite multiverse then in theory all imaginable possibilities would exist somewhere within it at some point.
So pi (probably) has this property. There are some joke compression programs around this (they don't really work because it takes up more space to store where something in pi is, than storing the thing itself). But it is funny, to think that pi could theoretically hold every past, present, and future piece of information within those digits after the decimal.
https://github.com/philipl/pifs
https://ntietz.com/blog/why-we-cant-compress-messages-with-pi/
Also interesting is the notion of 'Kolmogorov Complexity' - what is the shortest programme that could produce a given output? Worst case for a truly random sequence would just be to copy it out, but a programme that outputs eg. a million digits of pi can actually be quite short. As can a programme that outputs a particular block cypher for an empty input. In general, it is very difficult to decide how long a programme is needed to produce a given output, and what the upper limit of compression could be.
https://en.m.wikipedia.org/wiki/Kolmogorov_complexity