As Milo struggles with words and begins the process of making himself their master, he also has difficulty with numbers, especially when he speaks with .58 of a child, who with parents and two siblings (whom Milo does not meet) makes up an average family. Milo has had difficulties in school with mathematics and problem solving; his reaction to this encounter is to protest that averages are not real. The partial child enlightens Milo that there is beauty in math beyond the tedium of learning an endless set of rules, "one of the nicest things about mathematics, or anything else you might care to learn, is that many of the things which can never be, often are". Late in the book, Princess Reason counsels Milo, who has much learning ahead of him, not to be discouraged by its complexity, "You must never feel badly about making mistakes ... as long as you take the trouble to learn from them. For you often learn more by being wrong for the right reasons than you do by being right for the wrong reasons". An index card in the Juster papers sets forth the germ of the princess' "memorable" counsel to Milo, "Quite often the road to Rhyme + Reason is through the right mistakes."