Grown-ups and Infinity
As a counterpoint to Kids and Infinity, here’s to Grown-ups and Infinity.
Jan of Think Again raised Galileo’s Paradox on his blog: The question of whether there are
more fewer even natural numbers than natural numbers overall. This has led to some good discussion of the various countably infinite sets, which are, counter-intuitively, considered to be equinumerous or of the same cardinality.
Darmok provided a great link to this article: Infinity: You Can’t Get There From Here which provides a well-written and understandable discussion of infinite cardinalities. I liked it enough to post a link to it here. Don’t be afraid to click on the link to the proof of Cantor’s Theorem which proves that the number of different cardinalities of infinite sets is also infinite! It is a little more difficult than the first article, but not so bad if you take your time with it.