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 Re: hehe, Infinity Posted By: Forrest of B.org Date: 12/15/06 11:16 a.m. In Response To: hehe, Infinity (MrHen) : I think I botched it anyway. Which are the basic sets again? Primes are a subset of natural numbers which are evenly divisible only by themselves and 1. Natural numbers are all the "counting numbers" 1, 2, 3, etc... (or alternately, all prime numbers and sums thereof) Integers are natural numbers, their negations, and zero. Rational numbers are anything that can be written as an integer over another integer. Irrational numbers are all real numbers that aren't rational numbers, like pi, e, and sqrt(2). Real numbers are all rationals and irrationals. Imaginary numbers are products of any real and the square root of negative one. Complex numbers are the sums of any real and imaginary numbers. (which includes all the reals and imaginaries themselves, as you could have 0+Ni or N+0i) : Was the set of : all reals larger than the set of all integers? It has been a while since I : took that class. Hmm... I remember that the set of all integers and the set of all rationals were supposedly the same size, though I was never thoroughly convinced by the supposed proof of that. I'm pretty sure the set of reals is larger than either of those, but it may not be the next-largest set; I don't think there's consensus on what set is of cardinality aleph-one, only that the set of all integers is of cardinality aleph-null.
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