How could i show that N has no maximum?
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Hello, Originally Posted by jzellt How could i show that N has no maximum? Suppose N has a maximum, p, which belongs to N. So for any n in N, $\displaystyle n \leq p$ Now, consider $\displaystyle n+p$, for any n in N. It's an integer so it belongs to N, and it's obviously greater than p. This is a constradiction
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