I sat in my seven year old's after-school math class, and they were asked the question about the bat (x + x+ $1=$1.10) and the day at which a pond was half full when lillies which were doubling in number had filled the pond in 30 days (obviously 29 days; if you say the 15th day, then you check your work to see it would be full on the 16th). I got both right, and helped explain the answers to the kids. I find the spinning of a whole theory of irrationality out of examples like this fantastically boring. The major irrationality is not in people's cognitive predispositions but in our social arrangements. The turn inward in the struggle to root out irrationality is decadent but really very prevalent at this point. It says a lot. LR
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