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this post was submitted on 23 Jan 2024
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Showerthoughts
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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
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It's not literal.
It's a way to explain that any result is possible.
Like, throw some matter/energy in any closed system, and eventually, everything and anything possible will happen on an infinite timeline.
So sure, 99.9999999999999999% are going to poop on it, but on an infinite scale, you'd get Shakespeare
Well no. You can try to count every real number forever and you will miss infinitely many still. Some infinites are larger than others, hence I do not see any reason why "infinite time" would cover "every possibility happening". On the other hand, if you do have a mathematical proof you could refer to, I would be most grateful.
EDIT: To write out my example, let us consider a machine that picks a random number between 3 and 4 every second. Then there is every second a nonzero chance that this machine (assuming true and not pseudo randomness) will pick, say pi. The range of numbers picked constitute the image of a function from the whole numbers to the real numbers (up to isomporphism), which cannot be surjective. Hence there are numbers not picked even though there was a > 0 chance of picking them every second for an infinite time.
I hear what you are saying and agree. I never took the monkey Shakespeare theory seriously. It sounded a bit too poppy and quite honestly the guy that told me was a douche and pronounced giblets wrong. But as a theory you could get anything in a long enough time span and infinite amount of resources. Why or how that matters? Well I just don't see it.
Is it pronounced like gif?