1) What three things is Mill attempting to prove in Chapter 4? 2) To what purpose does Mill use a discussion of visible and audible in his proof of utility theory? 3) Mill has sometimes been criticized for equivocating with the word ‘desirable.' Mill is attempting to argue that happiness is desirable as an end, and he uses ‘visible' and ‘audible' as analogous. Why might someone suspect that he equivocates? What meaning of the word is he using? Is he equivocating? 4) Is Mill's proof for why the general happiness is desirable as an end a good one? Why or why not? 5) What problem for Mill's theory does virtue pose? 6) What is Mill's response to the problem posed by some people's desire for virtue for its own sake? 7) Is Mill's solution to the problem posed by the desire for virtue for its own sake successful? Why or why not? 8) What does Mill think it means to desire something? 9) What is the best way to promote happiness? .