1. ## [SOLVED] Natural Numbers

How could i show that N has no maximum?

2. 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, $n \leq p$

Now, consider $n+p$, 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