Possible Duplicate: Different kinds of infinities? Those terms keep confusing me. Could somebody give a clear and unambiguous definition? How do we prove a set is
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To paraphrase Albert Einstein, a number in and by itself has no significance and only deserves the designation of number by virtue of its being a member of a group of
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I am trying to prove Boole’s inequality $$P\left(\ \bigcup_{i=1}^\infty A_i\right) \leq \sum_{i=1}^\infty P(A_i).$$ I can show it of any finite $n$ using induction.
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This method of enumerating the rationals includes each rational number more than once. For example, it will include 1/1, 2/2, 3/3(...), each of which is equal to 1.
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You could think of this correspondence as a buddy system in which each natural number is paired with some positive fraction, and vice versa. The existence
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Possible Duplicate: Different kinds of infinities? Those terms keep confusing me. Could somebody give a clear and unambiguous definition? How do we prove a set is
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To paraphrase Albert Einstein, a number in and by itself has no significance and only deserves the designation of number by virtue of its being a member of a group of
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I am trying to prove Boole’s inequality $$P\left(\ \bigcup_{i=1}^\infty A_i\right) \leq \sum_{i=1}^\infty P(A_i).$$ I can show it of any finite $n$ using induction.
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This method of enumerating the rationals includes each rational number more than once. For example, it will include 1/1, 2/2, 3/3(...), each of which is equal to 1.
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You could think of this correspondence as a buddy system in which each natural number is paired with some positive fraction, and vice versa. The existence
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