PHI 1010 Exercise - Logic 7.1 All University of North Carolina, Pembroke

7.1 A The Logic Tutor responds: 1. (A → B → C) Your answer of ``Not a WFF'' is correct! 2. (~B) Your answer of ``Not a WFF'' is correct! 3. (~(C) → F) Your answer of ``Not a WFF'' is correct! 4. (E → (~F → G) Your answer of ``Not a WFF'' is correct! 5. ~((H → J) → (K → L) Your answer of ``Not a WFF'' is correct! 6. (M → ~~N) Your answer of ``WFF'' is correct! 7. (O → ~(P → R)) Your answer of ``WFF'' is correct! 8. ((Q → S) → T) Your answer of ``WFF'' is correct! 9. (~(U) → (W)) Your answer of ``Not a WFF'' is correct! 10. ~Z Your answer of ``WFF'' is correct! 11. ~(B ∙ C) Your answer of ``WFF'' is correct! 12. ~(~W v ~Z) Your answer of ``WFF'' is correct! 13. ~(m ↔ ~h) Your answer of ``Not a WFF'' is correct! 14. (~E . ~F . ~~G) Your answer of ``Not a WFF'' is correct! 15. ~(~A - ~R) Your answer of ``WFF'' is correct! 16. (~S ∨ ~R ∨ ~(T ∙ U)) Your answer of ``Not a WFF'' is correct! 17. (~P ∨ Q ∨ ~R) Your answer of ``Not a WFF'' is correct! 18. ((L ∨ M) → ~S) Your answer of ``WFF'' is correct! 19. (~(D ∙ E) ↔ (F ∨ ~G)) Your answer of ``WFF'' is correct! 20. ((~H ∙ ~~F) → ~(~K ↔ ~N)) Your answer of ``WFF'' is correct! 7.2 B The Logic Tutor responds: 1. E ∨ ~F Your answer of ``Permissible'' is correct! 2. ~G ∙ ~H Your answer of ``Permissible'' is correct! 3. ~J ↔ ~K Your answer of ``Permissible'' is correct! 4. ~L ∨ [(M → N) → ~O] Your answer of ``Permissible'' is correct! 5. (~Q ∨ ~R ∨ ~~S) Your answer of ``Impermissible'' is correct! 6. (A ∨ B) ↔ (C ↔ D) Your answer of ``Permissible'' is correct! 7. ~U → ~X Your answer of ``Permissible'' is correct! 8. [~Z ∙ ~W ∨ ~~Y] Your answer of ``Impermissible'' is correct! 9. ~A → (~C → F) Your answer of ``Permissible'' is correct! 10. (B ∙ E) ∙ [(G ∨ H) ∙ (J ∙ K)] Your answer of ``Permissible'' is correct! 7.1 C Correct! 1.) Your symbolization ‘~R→C’ of the sentence The crops will fail unless it rains. using the scheme of abbreviation C: The crops will fail; R: It rains is correct! Correct! 2.) Your symbolization ‘M→A’ of the sentence Humans are animals if they are mammals. using the scheme of abbreviation A: Humans are animals; M:Humans are mammals is correct. Correct! 3.Your symbolization ‘~(R→~A)’ of the sentence The statement, "If humans are rational, then they are not animals" is false. using the scheme of abbreviation R: Humans are rational; A: Humans are animals is correct. Correct! 4.)Your symbolization ‘M→N’ of the sentence Bats are mammals only if the