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| Math Central | Quandaries & Queries |
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Question from Nazrul, a teacher: How can I prove that the set of all positive odd integers is an infinite set. |
Nazrul,
There are two ways that you could try.
One way is to put them into 1-1 correspondence with a known infinite set, say the positive integers. Another way is to suppose the set is finite, and therefore has a biggest element. Then find an odd positive integer bigger than that, a contradiction.
Good luck,
Victoria
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