Full Idea
For every transfinite cardinal there is an infinite collection of transfinite ordinals, although the cardinal number of all ordinals is the same as or less than that of all cardinals.
Gist of Idea
For every transfinite cardinal there is an infinite collection of transfinite ordinals
Source
Bertrand Russell (The Principles of Mathematics [1903], §290)
Book Reference
Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.312
A Reaction
Sort that one out, and you are beginning to get to grips with the world of the transfinite! Sounds like there are more ordinals than cardinals, and more cardinals than ordinals.