V_V comments on Using the Copernican mediocrity principle to estimate the timing of AI arrival - Less Wrong Discussion
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I can't see any plausible reason to predict that Microsoft will last longer than Google or that Britain will last longer than the USA.
In general, I tend to assume that recent history is more relevant to future prediction than older history, a sort of generalized informal Markov assumption if you wish, therefore trying to predict how long things will last based only on their age is likely to yield incorrect results.