There are two parts to this program:
A small program whose source you can download, that prints the
set-theoretic representation of a natural number (ordinal).
This website, with a form below where you can enter a natural number
and have its ordinal representation shown.
Enter the natural number (i.e. a positive integer such as 0,1,2,...) that
you wish to view the ordinal/set-theoretic expansion of.
NOTE: Start small! For any number greater than 10, the construction
computer that will be building the ordinal.
Remember that the ordinals are defined as follows:
NOTE: You must click the "Show Me!" button. Hitting
Enter will not work.
- Zero (0) is defined as the empty set, Ø
- All other natural numbers n are defined as the set of ordinals
less than n