# [FOM] ontology

Carlos Gonçalves cgon1 at iscte.pt
Thu Jan 15 18:38:38 EST 2004

At 18:14 14-01-2004 +0000, you wrote:

>An essay question:
>
>
>Are the finite ordinals the same mathematical objects as the finite
>cardinals?  Give reasons...                       [\aleph_0 marks]

Hi Thomas,

These are different objects, the notion of ordinal, in particular, appeals
to a notion of order (and of well ordered set) while a cardinal is,
following Cantor, obtained through an operation of double abstraction, both
from the order in which the elements of the set are given and from the
nature itself of those elements.

C. Pedro