The following argument is invalid: P(QR),QRP Which assignment of truth values to

Question

The following argument is invalid: P(QR),QRP Which assignment of truth values to the propositional letters (or their literal negations) shows the argument to be invalid? Use the truth-tree procedure (using either Proof Tools or pen/pencil and paper) to help you determine the answer. In other words, use the truth-tree method to pick out a valuation that shows that the argument is deductively invalid.

1) v(P)=T,v(Q)=T,v(R)=T

2) v(¬P)=T,v(Q)=T,v(R)=T

3) v(¬P)=T,v(Q)=F,v(R)=T

4) v(P)=T,v(Q)=T,v(R)=F

Explanation / Answer

The following argument is invalid: P(QR),QRP, when 2) v(¬P)=T,v(Q)=T,v(R)=T truth values to the propositional letters (or their literal negations) shows the argument to be invalid.

so the correct answer is (2) v(¬P)=T,v(Q)=T,v(R)=T .

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.