User blog comment:Vel!/On salad numbers/@comment-5150073-20120912091904/@comment-25418284-20120913040059

Not necessarily. Many of Cantor's transfinite ordinals, such as &omega;, can legally coexist with finite numbers. &omega; + 1 and even &omega;/2 are perfectly legitimate. I've started looking through Cantor's Attic...fascinating stuff.

Infinity has a bunch of different meanings in different areas in mathematics. Here, where we're concerned about large real numbers, it's mostly just a silly cop-out.