## Problem of the Week 1034## A Godelian PuzzleAlice: Here I have a penny and a quarter. You get to make a statement and if it is true I will give you one of the coins. If it is false, I give you neither coin. Bob: That is generous of you. Which coin will you give me if my statement is true? Alice: Not telling. What statement should Bob make to maximize the amount of money Alice gives him?
Adapted from "Godelian Puzzles," by Raymond Smullyan, in © Copyright 2005 Stan Wagon. Reproduced with permission. |

19 April 2005