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Hint: In (classical) mathematics {n+1, n+2, n+3, ...} is an infinite set for all n in IN.If always infinitely many numbers remain, then it is impossible to remove infinitely many numbers, namely all numbers.
Did you ever meet a "sensible student" who claimed that there is an n in IN such that {n+1, n+2, n+3, ...} is finite?There are many students and matematicians who believe that all natural numbrs can be removed or simply applied, for instance for enzmerating purposes.
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