There are 10^11 stars in the galaxy. That used to be a huge number. But it's only a hundred billion. It's less than the national deficit! We used to call them astronomical numbers. Now we should call them economical numbers.But maybe we should instead call them computational? Anyhow, this discussion is a reasonable place to link to a thing I wrote about visualizing large numbers, which concludes that the only way to be accurate is with probabilities, but the only way to impress people is by underestimating and just using "earths weight in carbon molecules" and the like. Ramsey theory has famously terrifying big numbers, but it feels fake somehow - these large numbers end up getting used not because of necessity, but because our proof techniques are weak. Whereas the number of chess games or card shuffles or whatever is actually something that is inherent to those systems, and those systems are of mild interest to non-specialists.
-Richard Feynman, physicist, Nobel laureate (1918-1988)
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(Emphasis added.)
posted by LSK at 12:26 PM on October 12, 2010