...i mean, you can use measure theory. That's what leads to the extremely irritating-to-me mathematical definition of "almost every", for instance! (Almost every real number is irrational. The rational numbers have measure 0 in ℝ.)
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(Although BOTH ℙ and ℤ have measure 0. All countable sets do. I think what Yudkowsky is actually getting at is that the limit of the ratio ℙ/ℤ is 0. Which is true.)
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Isn't it true that a number selected at random from the naturals is prime with probability zero?
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There are many different ways to answer this question that will give you different results
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that's also not how it works, you don't need to divide transfinite numbers to define asymptotic density Yudkowsky's overloading “%”. a lot. but it's not some kind of catastrophic math failure
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