User blog:BlauesWasser/Why Zero Shouldn't be considered a cardinal

Most of us know that finite numbres are cardinals, and infinite numbers are ordinals.

We consider that zero is a cardinal, but... I really don't agree! Why? There isn't any operational way that you can use zeros to make a number less, or larger than zero. (0+0 = 0, 0-0 = 0, 0*0 = 0, 0/0 = 0.. Wait, does 0/0 equal 1 or 0? XD)

Zeros are just like ordinals if you compare them to cardinals (excluding zero of course), there is no way to turn a cardinal into an ordinal without using some infinite function, or notation just like omega. Same with zero! You can't turn it into another number!

I would like to name zero it's special number group, or theory, but I fear it already has a name, please tell me, does it? Or have I just come up with something?