Every idea of mine that cannot be expressed as a syllogism is really ridiculous. None of my ideas about rock stars is worth writing down. No idea of mine that fails to come true can be expressed as a syllogism. I never have any really ridiculous idea that I do not at once refer to my lawyer. All my dreams are about rock stars. I never refer any idea of mine to my lawyer unless it is worth writing down.

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.