User blog comment:Eightisthebestnumber/Ordinals into cardinals/@comment-45351161-20200502195326/@comment-43912911-20200503072521

okay, but for size you need cardinality : we say "thing is 3 meters long" not "thing is third meters long", and the cardinality of every countable transfinite ordinal is aleph0. omega and gamma0 and every other countable transfinite ordinal are the same in that sense, which isn't really good, it would be better to have higher ordinals represent higher sizes.