from the primitive conditions F (c, d), “c fears d,” and R(c, d), “c respects d.” Carefully explain how your formula describes the condition at hand.  1. Squirrels are the only creatures that fear themselves. 2. All creatures who respect all self-respecting creatures are themselves self- respecting. 3. Any mammal that fears itself fears all squirrels. 4. If any creature fears another creature, it also respects that creature.

Determine whether each of the following statements are true or false. If true, please explain why. If false, explain why or give a counterexample (whichever is appropriate). Recall that a counterexample is a specific example which shows that a statement is false. So, if I said, "All numbers are even", you would say this statement is false and remark that "3" is a counterexample. No points will be award for a correct answer without a correct explanation/counterexample for questions 1-5. For questions 6-10, no explanation is required. I have put a (C) at the end of each question which requires a counterexample if the statement is false.

Answer all the questions completely

(discrete structure)