Page:Philosophy and Fun of Algebra.djvu/85

INFINITY never: "You have got out of that particular house of bondage and therefore you may, for all the rest of your life, run riot, and eat, and drink, and do, whatever you please." Its message always is: "You have outgrown that master; now you may take a holiday and have a fling before you go into a higher class; but, just because you are set free, look out for danger traps; and mind your Ten Commandments."

You will understand Infinity's messages better if you will read carefully what is written about it in Chapter XV. of "The Logic of Arithmetic." It brought the answer to the question: "How many children could pass through a school-room without the apples all being eaten up, supposing that none of the children ate any?"

Let us go over that ground again. Suppose there is a cake on the table. How many children can go through the room without the cake being all eaten up?

Well, that depends on two things: the size of the cake, and the share which each child eats. If the cake weighs two pounds, and each child eats 81