Thanks to Tom, I just learned that I have my own numbers!!
Hey, how can you have an infinitely countable set? Isn't that an oxymoron? Tom? Dr. Amy?
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My life, as I see it, and other observations from time to time.
1 comment:
That's pretty cool! I'd never heard of the Beth numbers!
Usually it's called "countably infinite." The "counting numbers" (natural numbers, whole numbers, integers) are infinite, but you can "count" them in the sense that you can say this is the first, this is the second, this is the third, etc. It doesn't _stop_, but you can make the assignment. So I guess those sets have "Beth 0" elements in them.
On the other hand, the set of all points on a line is "uncountably infinite." You could say which one is the first one, but then there's no "next" one. This is a set with "Beth 1" elements in it.
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