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Comment To Infinity and Beyond! (Score 1) 630

I'm sorry I don't have a specific book or paper handy so that I might give you it's name, but based on my experience as a high school teacher, college instructor, and parent, I heartily recommend something on higher cardinalities.

Some specific topics would be:

- What does it mean for two infinite sets to have the same size?

- There are no more rational numbers than counting numbers.

- The size of the set of real numbers is larger than the size of the set of counting numbers.

- Some principles of transfinite arithmetic.

I've found that the material above, if presented fairly concretely, is well within the capabilities of high school students. Further, the concepts are odd-ball enough that they find it interesting. Well, some of them do.

If your question is any indication of your general work as a teacher, you're doing a great job. On behalf of the country, "Thanks".

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Note: tpzahm has appointed himself spokesman for the country. His views do not necessarily represent those of Slashdot, its editors, or its readers. -- Ed.

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