Full Idea
Ordinals presuppose serial and one-one relations, whereas cardinals only presuppose one-one relations.
Gist of Idea
Ordinals presuppose two relations, where cardinals only presuppose one
Source
Bertrand Russell (The Principles of Mathematics [1903], §232)
Book Reference
Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.243
A Reaction
This seems to award the palm to the cardinals, for their greater logical simplicity, but I have already given the award to the ordinals in the previous idea, and I am not going back on that.
Related Idea
Idea 14128 Some claim priority for the ordinals over cardinals, but there is no logical priority between them [Russell]