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Luke_A_Somers comments on Anticipating critical transitions - Less Wrong
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Run length finiteness will kick in long before program size finiteness. How long do you expect to have to run before you hit 100 heads in a row by flipping fair coins a trillion times a second?
Roughly speaking, we're talking multiples of the age of the universe so far.
An excellent point. I didn't even think of time.
Whenever you’re thinking that a 64-bit state might not be enough for something counter-like, it’s a good thing to think about time. I remember thinking once for more than half a minute how to handle overflow of a 64-bit variable. It was used to pass the number of files extracted from an archive. On an iPad.