Problem 40. (1 point) Consider the following premises. -Q(-3) Vx (Q(x) P(x)) Q(5) Vx(P(x) R(x)) What...

  

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Problem 40. (1 point) Consider the following premises. -Q(-3) Vx (Q(x) →→P(x)) Q(5) Vx(¬P(x) →¬R(x)) What conclusions can be drawn? Select all that apply. ● A. R(5) ● B. P(5) • C.¬R(-3) D. R(-3) E. P(-3) ● F. ¬P(5) • G. ¬P(-3) • H. ¬R(5) Problem 36. (1 point) Which of the following statements defines a valid argument? . A. An argument is valid if the conclusion is true whenever all the premises are true. . B. An argument is valid if the conclusion is true. . C. An argument is valid if all the premises are true when- ever the conclusion is true. • D. An argument is valid if some of the premises are true whenever the conclusion is true. . E. An argument is valid if all the premises are true. . F. An argument is valid if the conclusion is true whenever some of the premises are true. .G. None of the above Consider an argument with premises p₁,…, Pn and conclusion q. Which of the following says the argument is valid? ● A. The argument is valid if the proposition (p₁ ^..^ Pn) →q is a contradiction. . B. The argument is valid if the proposition (p1^..^ Pn) →q is a tautology. . C. The argument is valid if the proposition (p₁^... ^ Pn) →q is a contingency. . D. The argument is valid if the proposition (P₁ ^..^ Pn) →q is a contingency. ● E. The argument is valid if the proposition (p1^..^ Pn) →q is a tautology. ● F. The argument is valid if the proposition (p₁ ^ · · · ^ Pn) →q is a contradiction. . G. None of the above W Problem 40. (1 point) Consider the following premises. -Q(-3) Vx (Q(x) →→P(x)) Q(5) Vx(¬P(x) →¬R(x)) What conclusions can be drawn? Select all that apply. ● A. R(5) ● B. P(5) • C.¬R(-3) D. R(-3) E. P(-3) ● F. ¬P(5) • G. ¬P(-3) • H. ¬R(5) Problem 36. (1 point) Which of the following statements defines a valid argument? . A. An argument is valid if the conclusion is true whenever all the premises are true. . B. An argument is valid if the conclusion is true. . C. An argument is valid if all the premises are true when- ever the conclusion is true. • D. An argument is valid if some of the premises are true whenever the conclusion is true. . E. An argument is valid if all the premises are true. . F. An argument is valid if the conclusion is true whenever some of the premises are true. .G. None of the above Consider an argument with premises p₁,…, Pn and conclusion q. Which of the following says the argument is valid? ● A. The argument is valid if the proposition (p₁ ^..^ Pn) →q is a contradiction. . B. The argument is valid if the proposition (p1^..^ Pn) →q is a tautology. . C. The argument is valid if the proposition (p₁^... ^ Pn) →q is a contingency. . D. The argument is valid if the proposition (P₁ ^..^ Pn) →q is a contingency. ● E. The argument is valid if the proposition (p1^..^ Pn) →q is a tautology. ● F. The argument is valid if the proposition (p₁ ^ · · · ^ Pn) →q is a contradiction. . G. None of the above W

Answer rating: 100% (QA)

Step By Step Step 1 Solution Given Q3 xQxPx Q5 xPxRx We obeserve the following conditions and write the equivalent contrapositive statements Q3 is fal... View the full answer