HOMEWORK ASSIGNMENT #1 (20 POINTS)

(Due in Class on Wed., June 25)

Instructions. Answer all parts of each question. Clearly label which part you are answering.

1. (5 points) (a) Choose your own example of two properties, A and B, such that A is a sufficient condition for B, but B is not a sufficient condition for A. This part of your answer must use the words "sufficient condition". (b) Use the arrow to state the relation between the two properties A and B identified in part (a). (c) Explain what your answer to part (b) means. (You must use the definition from the handout.)

2. (5 points) (a) Choose your own example of two properties, A and B, such that A is a necessary condition for B, but B is not a necessary condition for A. This part of your answer must use the words "necessary condition". (b) Use the arrow to state the relation between the two properties identified in part (a). (c) Explain what your answer to part (b) means. (You must use the definition from the handout.)

3. (10 Points) (a) (2 Points) Give an example of a property PD which is your best attempt to find a property that provides a purely descriptive sufficient condition for moral wrongness. (Your answer must include the words "sufficient condition".) (b) (2 Points) Abbreviate the property you identified in part (a) and use the abbreviation to state your answer to part (a) in the form of an implication (you may use the arrow to abbreviate "implies"). (c) (2 Points) What does your answer to part (b) mean? (You must use the definition from the handout.) (d) (2 Points) Logically, what would be required for there to be a counterexample to your answer to part (b)? (e) (2 Points) Do you think there is a counterexample to it? Explain.