Translate the following statements into symbols, using the schemes of abbreviation provided. 1. * The picture frame is square only if it is rectangular. (S: The picture frame is square; R: The picture frame is rectangular) 2. You will not succeed if you lack common sense. (S: You will succeed; C: You have common sense) 3. If Sammy is a penguin, then Sammy is a bird that cannot fly. (P: Sammy is a penguin; B: Sammy is a bird; F: Sammy can fly) 4. * Either you work hard or you have fun, but not both. (W: You work hard; F: You have fun) 5. Given that Bozo has a bill, Bozo is either a duck or a platypus. (B: Bozo has a bill; D: Bozo is a duck; P: Bozo is a platypus) 6. Neither penguins nor ostriches can fly. (P: Penguins can fly; O: Ostriches can fly) 7. * If Alvin has a bill, then he is not a platypus if he has feathers. (B: Alvin has a bill, P: Alvin is a platypus; F: Alvin has feathers) 8. Neither Smith nor Jones wins if there is a tie, but Jones does not win given that Smith wins. (S: Smith wins; J: Jones wins; T: There is a tie) 9. While Miriam is both competent and hard-working, she is not interested in the job. (C: Miriam is competent; H: Miriam is hard- working; J: Miriam is interested in the job) 10. * Given that Murphy is a bat only if he can fly, Murphy is not a bat. (B: Murphy is a bat; F: Murphy can fly) 11. Sally will pass unless her mind goes blank. (P: Sally will pass; M: Sally's mind goes blank) Page 336 12. Either Floyd Mayweather Jr. wins or Manny Pacquiao wins, but not both. (F: Floyd Mayweather Jr. wins; M: Manny Pacquiao wins) 13. Stella's being in Arkansas is a sufficient condition for her being in the U.S.A. (A: Stella is in Arkansas; U: Stella is in the U.S.A.) 14. Humberto's being competent is a necessary and sufficient condition for his being hired. (C: Humberto is competent; H: Humberto is hired) 15. Solomon's growing older is a necessary condition for his becoming wiser, but it is not a sufficient condition for his becoming wiser. (S: Solomon grows older; W: Solomon becomes wiser) 16. Dan's being in Pennsylvania is a necessary condition for his being in Philadelphia. (D: Dan is in Pennsylvania; P: Dan is in Philadelphia) 17. It is always wrong to kill the innocent only if it is wrong to kill an insane person in self-defense. (K: It is always wrong to kill the innocent; S: It is wrong to kill an insane person in self-defense) 18. It is not the case that if the Seahawks win, the Cowboys win. (S: The Seahawks win; C: The Cowboys win) 19. It is not always wrong to kill the innocent just in case it is not wrong to kill an insane person in self-defense. (K: It is always wrong to kill the innocent; S: It is wrong to kill an insane person in self-defense) 20. Plato's being a rational animal is a necessary and sufficient condition for his being human. (R: Plato is rational; A: Plato is an animal; H: Plato is human)