Math CentralQuandaries & Queries


Question from Justin, a student:
Hello again, I was just wondering that since the rules of
Cantor's cardinal numbers in set theory do not apply to the
infinity obtained by limits in calculus (ex. x->0, y=1/x=infinity),
does that mean that this infinity is the largest quantity in
both calculus and mathematics?

No, it means that it is not a cardinal number.

If you are this interested in this topic, you had better start at the beginning with a good set theory textbook and work your way through it, doing all the exercises. (Or take a course in the subject; that would probably be more fun if the other students are keen.) You clearly want to know about this in more depth than we can provide in a few emails.

Good Hunting!

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