Sunday, November 30, 2008

The Sand-Reckoner

There are some ... who think that the number of [grains of] sand is infinite.... There are some who, without regarding it as infinite, yet think that no number has been named which is great enough.... But I will try to show you [numbers that] exceed not only the number of the mass of sand equal to the Earth filled up ... but also that of a mass equal in magnitude to the Universe.
-Archimedes, The Sand-Reckoner

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