Display Ordinal
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).
Download:
DisplayOrdinal.tar.gz,
Man-Page:
man DisplayOrdinal
-
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
will take some time. The construction is done in JavaScript, so it is your
computer that will be building the ordinal.
Remember that the ordinals are defined as follows:
- Zero (0) is defined as the empty set, Ø
- All other natural numbers n are defined as the set of ordinals
less than n
NOTE: You must click the "Show Me!" button. Hitting
Enter will not work.