PATHETIC POOCH
LOGIC FINAL EXAMINATION

PART 1: DIAGRAMMING (10 points)

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

¹ Rex is a miserable, pathetic, unloved dog.  ² All of those at the party who were children and wanted donuts got them.  ³ Rex wanted donuts, and  ⁴ he was at the party, but ⁵ he didn't get any. So  ⁶ Rex wasn't a child.   ⁷ Besides Momma Lina and the kids, the only one at the party was a dog.  ⁸ Rex must have been a dog because  ⁹ he sure wasn't Momma Lina.  ¹⁰ Dogs that don't get donuts are miserable, pathetic, and unloved.

PART 2: TRANSLATION (15 points)

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

The girl at the party ate donuts only if Rex didn't get any. She ate donuts if and only if she drank milk and didn't pout. So, if the girl at the party didn't pout and drank milk, Rex got a donut unless she ate donuts.

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

PART 5: PROOF (15 points)

Instructions: Construct a proof of the argument below.

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.

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.