Asked by Lindsey Shelby on May 20, 2024
Verified
Which rule is used in the following inference? (A⋅B) ⊃(C⊃D) A⋅BC⊃D\begin{array} { l } ( A \cdot B ) \supset ( C \supset D ) \\A \cdot B \\C \supset D \end{array}(A⋅B) ⊃(C⊃D) A⋅BC⊃D
A) HS
B) MP
C) MT
D) CD
E) DD
Modus Ponens (MP)
A form of logical argument where if a conditional statement ("if P, then Q") is accepted, and the antecedent (P) is affirmed, the consequent (Q) must also be affirmed.
- Harness principles of deduction to evaluate argument validity.
Verified Answer
JS
Jeanine SalloumMay 21, 2024
Final Answer :
B
Explanation :
This inference uses Modus Ponens (MP), which states that if p→qp \rightarrow qp→q and ppp are both true, then qqq must also be true. Here, ppp is (A⋅B)(A \cdot B)(A⋅B) and qqq is (C⊃D)(C \supset D)(C⊃D) .
Learning Objectives
- Harness principles of deduction to evaluate argument validity.