a set of whole numbers is finite or infinite?
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This contradicts the maximality of , so our original assumption was false, and hence set of natural numbers is not finite but rather infinite. The induction argument fails because it shows is finite for every natural number , but it does not show that is finite because is not a natural number.
aman77722:
i had asked about whole numbers
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a set of whole numbers infinite set has no limit; you cannot number how many elements are in a set because the set continues on and on into "infinity." Returning to the set that you asked about: The question is asking whether there is a finite or infinite number of Natural numbers that are greater than or equal to 1000.
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