I. 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).
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 Krallsings 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 cars
Determine which of the following are not well-formed formulas.
1. (S ∼T)¡(∼U W) ●
2.∼(K¡L) (⊃G¡H)
3. (E∼F)¡(WKX)
4. (B⊃∼T)K∼(∼C⊃U)
5. (FK∼Q) (A⊃E¡T)
7. [(D ¡ Q)⊃(P¡ E)]¡ [A⊃( H)] ●●
8. M(N⊃Q)¡(∼C D)●●
9. ∼(F¡∼G)⊃[(AKE) ∼H]
10. (RKS● T)⊃∼(∼W● ∼X)IV.
Construct compound propositions involving at least three simple propositions about the following topics. Then, symbolize your propositions as per Parts I and II of this exercise.
1. Political figures
2. NFL teams
3. Corporations
4. Brands of automobiles
5. Music or film celebrities
Write the following compound statements in symbolic form, then use your knowl- edge of the historical events referred to by the simple statements to determine the truth value of the compound statements.