Nobody who really appreciates Beethoven fails to keep silent while the Moonlight Sonata is being played. Guinea pigs are hopelessly ignorant of music. No one who is hopelessly ignorant of music ever keeps silent while the Moonlight Sonata is being played.

Form valid conclusions in Problems 57–60 using all of the given statements. These problems were written by Charles Dodgson, better known as Lewis Carroll. You might wish to read the Historical Note and Example 5 in this section.