(a) Everybody fears the Baron. (b) The Baron doesn't fear anyone. (c) Alma loathes the Baron, and the Baron loathes her. (d) Everyone who loathes the Baron fears the Baron. (e) Alma loathes only those people who loath themselves. (f) Someone loathes both Alma and the Baron. (g) No one who fears the Baron fears Alma. (h) If anyone loathes Alma, then Alma loathes herself. 2. Test each of the following two arguments for validity using the truth tree method. If the argument is valid, say it is valid; if it isn't, say it isn't and specify a counterexample. (For how to specify a counterexample, see 3.11 on pages 5254, especially the example on page 53.) (a) x(FxaFax),x(HxFxa), Therefore x(HxFax) (b) xGxx,xHxxGxa, Therefore, x(HxGxx) 3. Draw a formation tree for each of the following two sentences. (For how to draw formation trees, see 3.5 on pages 4144, especially the examples on pages 4344 ). (a) xAxB (b) x(AxLax)