... 'EXHAUSTIVE' division of the class "new Cakes": i.e. between them, they EXHAUST the whole class, so that all the new Cakes, that exist, must be found in one or the other of them. And now ... "sitting on the fence." Now that is exactly the position of the red counter you have just placed on the division-line. He likes the look of No. 5, and he likes the look of No. 6, and ... put it into the RIGHT-HAND one, since you do not know them to be NOT-NICE. What, then, are you to do? I think the best way out of the difficulty is to place the red counter ON THE DIVISION-LINE...