Tuesday, January 01, 2008
The boys and I are in Vermont, house and cat sitting for friends. Yesterday we went skiing (the ski boot acts just like a cast, no lateral motion...whee, I can ski!) and as I got on the lift with Barnacle Boy he checked out our chair number, promptly mused about it's significance (25, a perfect square); the total number of chairs on the lift (113, prime); and then dove into the topic at the top of his mind: "There are more composite than prime numbers. Have we talked about this already?" "Uh, no." At least not precisely this topic - last year it was evens and odds! I think his statement isn't correct, that the same proof that applies to evens and odds (there are the same number) applies to this question, but my real analysis is too far in the past. Where's Cantor (or Math Man) when you need him?