Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 9/27/83; site hplabsb.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!houxm!vax135!cornell!uw-beaver!tektronix!hplabs!hplabsb!minsky From: minsky@hplabsb.UUCP (Yair Minsky) Newsgroups: net.math Subject: Re: Dot Town, U.S.A. Message-ID: <2484@hplabsb.UUCP> Date: Wed, 29-Aug-84 20:43:15 EDT Article-I.D.: hplabsb.2484 Posted: Wed Aug 29 20:43:15 1984 Date-Received: Sat, 1-Sep-84 10:54:55 EDT Organization: Hewlett Packard Labs, Palo Alto CA Lines: 25 Doug Gwinn is correct in that everyone will kill themselves eventually after the stranger arrives, although he did not state his reasoning or the exact number of days that the process will take (it depends on the actual number of blue dots). He is wrong, however, in concluding that the stranger imparts no information by his statement. This is a tricky point, but I believe the way to think about it is that the information imparted by the stranger is not just about the number of dots but also about the possible reasoning processes available to the good people of Dot Town. That, in fact, is the beauty of this puzzle. I don't want to say any more for fear of spoiling the puzzle, but at any rate I don't think there is any insoluble dilemma involved. Enjoy, Yair Minsky PS By the way, the additional properties suggested after the original posting are correct. I hadn't included them because they seemed reasonably implicit, but looking back I guess I was wrong.