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Alexandros comments on Open Thread June 2010, Part 2 - Less Wrong
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Are there cases where occam's razor results in a tie, or is there proof that it always yields a single solution?
Yes. There are cases where occam's razor results in a tie (or, at least, indistinguishably close).
Consider the spin on an arbitrary particle in deep space, or whether or not an arbitrary digit of pi is even.