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i believe it has been proven that not only is Pi irrational, but that the decimal expansion of Pi contains all possible finites sequences of digits.
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Anyone able to provide a citation for this? It seems wrong to me.
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a quick googling gave me this:
http://sprott.physics.wisc.edu/pickover/pimatrix.html
doesn't look like the best source. however, it does point at out that such numbers are called transcendental numbers. so even if you don't believe pi is transcendental, then just imagine some other transcendental number.