Natural Numbers Exercises
Why
Some additional practice with natural numbers.
Exercises
Show that if $n$ is a natural number, then
$\ssuc{n} \neq n$.
Show that if $n \neq 0$, then there exists a
natural number $m$ so that $n = \ssuc{m}$.
Prove that $\omega $ is infinite.
Let $E$ be a nonempty subset of a natural
number.
Show that ther exists $k \in E$ so that $k
\in m$ whenever $m \in E$ and $m \neq k$.