Consider the proposition P(p,q,r)= ((gr) V p) V (pv (r)). (i) Find the truth table of...

 

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Consider the proposition P(p,q,r)= ((gr) V p) V (pv (→→r)). (i) Find the truth table of the proposition P(p, q, r). (ii) Use (i) to find the truth table of the proposition P* (p,q,r)=P(p,q,r). (iii) Use (i) and (ii) to verify whether or not the argument P(p, q, r) P (p, q, r) is valid. (iv) Use (i) and (ii) to verify whether or not the argument P* (p, q, r) + P(p,q,r) is valid. (v) Use (iii) and (iv) to determine whether or not the propositions P(p, q, r) and P* (p, q, r) are equivalent. Consider the proposition P(p,q,r)= ((gr) V p) V (pv (→→r)). (i) Find the truth table of the proposition P(p, q, r). (ii) Use (i) to find the truth table of the proposition P* (p,q,r)=P(p,q,r). (iii) Use (i) and (ii) to verify whether or not the argument P(p, q, r) P (p, q, r) is valid. (iv) Use (i) and (ii) to verify whether or not the argument P* (p, q, r) + P(p,q,r) is valid. (v) Use (iii) and (iv) to determine whether or not the propositions P(p, q, r) and P* (p, q, r) are equivalent.

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i To find the truth table of the proposition Pp q r we need to evaluate the truth value of the expre... View the full answer