PART 1: Diagramming (10 points)

Instructions: Using the numbering scheme provided, construct a diagram of the arguments in the passage below.

¹Ken is in big trouble because ²any highly paid Independent Counsel who doesn't get his man is in big trouble, and ³Ken is certainly a highly paid Independent Counsel. However, ⁴Ken gets his man only if both Bill and Monica go to the green room while Hillary leaves town. Although ⁵Monica goes to the green room only if Tripp opens her trap, ⁶Tripp won't open her trap unless the batteries on her tape recorder work. Unfortunately, ⁷the batteries on Tripps tape recorder don't work because ⁸Bill used them in his vibrator. Therefore, ⁹Monica doesn't go to the green room. Besides, ¹⁰Hillary is not leaving town. So ¹¹Ken doesn't get his man.

PART 2: Translation (15 points)

Instructions: Using the translation key provided, translate the argument below into symbolic notation.

Translation Key:

B: Bill goes to the green room.

H: Hillary goes to the green room.

K: Ken gets his man.

M: Monica goes to the green room.

P: Paula squeals.

T: Tripp opens her trap.

A. Ken gets his man, assuming that both Bill and Monica go to the green room while Tripp opens her trap.

B. If Bill goes to the green room without Hillary, Monica goes to the green room if and only if Paula doesnt squeal.

C. Ken gets his man only if Paula squeals and Tripp opens her trap.

PART 3: Truth Table (15 points)

Instructions: Determine whether the statement below is logically true, logically false, or logically indeterminate by constructing a truth table.

((P > (- Q . R)) = (- (P v Q) v (R . - P)))

PART 4: Consistency Tree (15 points)

Instructions: Determine whether the set of statements below is consistent or inconsistent by constructing a consistency tree.

{ (P = - Q) ; ( - (P > R) v (P . Q)) ; - ( - Q v S) }

PART 5: Proof (15 points)

Instructions: Construct a proof of the following argument.

(P > (Q . R))

(S . - Q)

(P v (M > - S))

____________

(M = P)

PART 6: Syllogism (15 points)

Instructions: Identify the mood and figure of the argument below. Explain whether the argument is valid or invalid on both the Classical Theory and on the Modern Theory. If it is invalid on either of the theories, identify the rule (or rules) it violates.

Some Democratic Presidents are philandering politicians.

No Republican Presidents are philandering politicians.

_________________________________________________

Some Republican Presidents are not Democratic Presidents.

PART 7: Venn Diagram (15 points)

Instructions: Construct two Venn diagrams on the argument in Part 6, one from the modern perspective, the other from the classical perspective. Label the two diagrams Modern and Classical, and identify the three rectangles in each diagram.