User blog comment:JTOnstead20/New Googolism Class/@comment-29014792-20161023122344/@comment-1605058-20161023193828

It is a very arguable matter whether ordinals are numbers or not, mostly because the notion of "number" is not defined. Of course they aren't natural numbers nor real numbers, but keep in mind that they are very often called "ordinal numbers". I suppose Aarex's objection might come in part because of our doctrine "infinity is not a number", but the significant difference between ordinal numbers and plain "infinity" is that ordinal numbers are a sound, well-defined concept, and not just a discussion-breaking word which is meant to be larger than anything you can come up with.