Return-Path: From: pgs@ai.mit.edu (Patrick Sobalvarro) Date: Thu, 18 Feb 93 19:45:08 EST To: all-ai Subject: GSB Friday, 5:30pm GSB's Spot Quiz for AI Lab Members ---------------------------------- 1. The human head has no more than 60,000 hairs. There are no more than 6 billion people in the world. Show that there are at least two people who have the same number of hairs on their heads. 2. You have a cabbage, a wolf, and a goat, and you must get them across the river in a leaky row-boat. You have only one oar, and it rained last week. Also, you hate cabbage. What do you do? 3. A worm is eating its way through three volumes of Gibbon's "Decline and Fall of the Roman Empire." The worm starts on the last page of the first volume, works its way to the first page of the last volume, and then takes a bite or two of Louis Braudel's "The Mediterranean and the Mediterranean World during the Reign of Phillip II." What color is the worm? Is it male, female, or hermaphroditic? 4. Your consultancy has been engaged by the firm of Molto, Dolares and Buchs to update their ancient accounting system. You have an 8086-based PC with a bum power supply and an ancient copy of TI's PC Scheme. Your partner Ben Bitdiddle has recently been found floating face-down in the Charles, and you know how much he hated swimming. Assuming Goedel's well-known result, show that the generalized continuum hypothesis cannot be proved under the usual axioms of set theory. These and other questions will not be answered at this week's G I R L S C O U T B E N E F I T But you should come anyway, socialize, and relax, Friday afternoon at 5:30pm in the seventh floor playroom.