Natural Numbers

We now construct canonical examples of the natural numbers, that is, the numbers 0, 1, 2, ..., n, n+1, ...

Zero

empty container is zero.

One

1 is the thing with zero in it.

Two

2 is with 0, 1 in it. ....

The Rest

Successor operation

the set is the set of numbers below it...

Counting

Making maps to count

sub 1

sub 2

sub 3

sub 4

sub 5

sub 6

sub 7

Counting Addition Multiplication Subtraction Division Powers Constructing Numbers