Piles of peanuts (ExH). You have infinitely many piles of peanuts. In the first pile you have one peanut; in the second pile you have two; in the third you have three; and so on. How many nuts do you have? Does the set of all these nuts have the same cardinality as the set of natural numbers? If not, explain why. If so, provide a one-to-one correspondence.
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