theory: oranges in hawaii sing proof by contradiction: let us assume that oranges in hawaii do NOT sing. let x reprsent the number of oranges in hawaii. let y represent the number of bananas in hawaii. it is a well known fact that bananas and oranges are the only two fruits found in hawaii. therefore, x + y = z z representing the total number of fruits in hawaii. from confirmed reports we know that the number of reported "unexplained singings" every day is 15,625. we also know that 20% inhabitants of hawaii can sing, and that 16% of the tourists can sing. furthermore, it is a well known fact that 5^6 is 15,625. also, (20% - 16%)^6 = 4,096 since 15,625 # 4096 therefore our assumption must be false. therefore oranges in hawaii do in fact sing. bananas do not, i cut one open and they don't even have vocal chords. warpus (the university of waterloo)