1. Cartier does not make cheap watches.
2. Arizona has a national park but Nebraska does not.
3. Either Stanford or Tulane has an architecture school.
4. Both Harvard and Baylor have medical schools.
5. If Chanel has a rosewood fragrance, then so does Lanvin.
6. Chanel has a rosewood fragrance if Lanvin does.
7. Maureen Dowd writes incisive editorials if and only if Paul Krugman does.
8. Reese Witherspoon wins best actress only if Martin Scorsese wins best director.
9. Armani will launch a leather collection given that Gucci rejects skinny models.
10. The Packers' winning most of their games implies that Aaron Rodgers is a great quarterback.
11. Bill Gates does not support malaria research unless Warren Buffet does.
12. Mercedes will introduce a hybrid model only if Lexus and BMW do.
13. Mariah Carey sings pop and either Elton John sings rock or Diana Krall sings jazz.
14. Either Mariah Carey sings pop and Elton John sings rock or Diana Krall sings jazz.
15. Not both Jaguar and Porsche make motorcycles.
16. Both Jaguar and Porsche do not make motorcycles.
17. Either Apple or Samsung makes smartphones.
18. Not either Ferrari or Maserati makes economy cars.
19. Neither Ferrari nor Maserati makes economy cars.
20. Either Ferrari or Maserati does not make economy cars.
21. If Bill O'Reilly spins the news, then if Chris Matthews fights back, then Rachel Maddow tells it straight.
22. If Bill O'Reilly's spinning the news implies that Chris Matthews fights back, then Rachel Maddow tells it straight.
23. Tommy Hilfiger celebrates casual if and only if neither Ralph Lauren nor Calvin Klein offers street chic.
24. If Saks promotes gift cards, then either Macy's or Bloomingdale's puts on a fashion show.
25. Either Rado does not make a sapphire watch or if Movado makes one then so does Pulsar.
26. If either Lockheed Martin or Raytheon floods the world with weapons of war, then neither General Dynamics nor Boeing reduces the likelihood of armed conflict.
27. If Electronic Arts and Activision Blizzard sell extremely violent video games, then either Colt or Smith & Wesson can expect increased profits.
28. Mercury is a planet given that both Pluto and Ceres are not.
29. Saturn has rings, and Neptune is windy or Jupiter is massive.
30. Saturn has rings and Neptune is windy, or Jupiter is massive.
31. Tiffany and Ben Bridge will release an emerald collection unless Zales and Kay do not.
32. Chevron continues to pollute provided that British Petroleum does, but Koch Industries and Exxon Mobil deny climate change.
33. Either Pablo Picasso or Salvador Dali ignored perspective, but it is not the case that both of them did.
34. South Korea supports diplomacy; but if North Korea starts a war, then either China or Japan will be involved.
35. It is not the case that both Iran gives up its nuclear program and Sudan or Pakistan combats terrorism.
36. It is not the case that either Hezbollah will renounce violence or al-Qaeda and ISIS will be defeated.
37. If Monsanto poisons the entire human race, then if Nestlé buries us in bottles, then Smithfield and Tyson load us up with antibiotics.
38. If Maria Cantwell promotes alternative energy, then if Patty Murray supports wilderness areas, then Dianne Feinstein's advocating gun control implies that Susan Collins does so, too.
39. It is not the case that either Tiger Woods and Maria Sharapova play professional football or Drew Brees and Serena Williams play professional baseball.
40. It is not the case that both Lindsey Vonn or Kevin Durant plays professional tennis and Tom Brady or Matt Ryan plays professional basketball.
41. Israel's abandoning its settlements is a sufficient condition for the Palestinians' declaring an end to hostilities.
42. Israel's abandoning its settlements is a necessary condition for the Palestinians' declaring an end to hostilities.
43. Israel's abandoning its settlements is a sufficient and necessary condition for the Palestinians' declaring an end to hostilities.
44. The Taliban's being defeated is a sufficient condition for Pakistan's winning the war on terror only if Afghanistan's securing its borders is a necessary condition for the UN's stopping the opium trade.
45. Katie Couric and Brooke Baldwin report international news if and only if Erica Hill and Norah O'Donnell cover political developments.
46. It is not the case that both Walmart's jeopardizing worker safety implies that Target does and Costco's treating workers decently implies that Kmart does.
47. Cameron Diaz promotes environmental causes if Ben Affleck supports civil liberties, provided that Sean Penn opposes the death penalty.
48. JP Morgan's getting another bailout implies that Goldman Sachs cheats its clients, given that Bank of America's foreclosing on more homes implies that neither Morgan Stanley nor Citigroup curtails obscene bonuses.
49. If Christina Aguilera's singing soul and Justin Timberlake's singing pop are sufficient and necessary conditions for Kelly Clarkson's singing rock, then neither Beyoncé nor Shakira will sing rap.
50. Nassau's advertising sizzling night clubs is a necessary condition for Puerto Vallarta's offering luxury hotels; moreover, Cancun's having turquoise waters and Acapulco's promising powder-white beaches is a sufficient condition for Jamaica's offering reggae music.
Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given the statement "If Facebook makes us narcissistic, then either Twitter or LinkedIn relieves our loneliness." This would be translated F ⊃ (T ∨ L).