Ron Nossaman wrote: > I'm having a late lunch, what's your excuse? %-) World Cup Soccer. Got in an early AM tuning and a mid afternoon between games. I'm impressed with your puzzling skills, although you really could have given others a day to figure them out. You maust have already known them:-) The apples question comes from Raymond Smullian, a Harvard math professor would loves logic puzzles. He's written several books including one entitled "This Book Has No Title". The question is similar to the 'F's puzzle in that it is an example of the tendency to jump to conclusions without carefully looking at all the pertinent information. The knee jerk answer is, of course, 'one' which is, of course, wrong. The connect-the-dots puzzle was taught to me by my architect grandfather when I was but a lad. It, too, points out the narrow constraints we put on ourselves when trying to solve a problem. Sometimes, you've got to give yourself permission to go outside the lines. Carl
This PTG archive page provided courtesy of Moy Piano Service, LLC