3 votes 3 votes In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________ $\sim Q$ $Q$ $P \wedge Q$ $\sim P \wedge Q$ Mathematical Logic ugcnetcse-dec2015-paper3 propositional-logic mathematical-logic + – go_editor asked Aug 11, 2016 • edited Jun 4, 2020 by go_editor go_editor 3.4k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Ans: B Whenever E is a tautology, P1 AND P2 AND .. Pn -> E is a tautology. Given two premises P1 and P2, we can infer P1 AND P2. If P1 and (P1 -> P2) are given or inferred, then we can infer P2 by the rule of modus ponens (p AND (p->q) -> q). If NOT P2 and (P1 -> P2) are given or inferred, then we can infer NOT P1 by the rule of modens tollens. If P1 and (P1==P2) are given or inferred, we can infer P2. ref: https://www.cs.rochester.edu/~nelson/courses/csc_173/proplogic/reason.html rishu_darkshadow answered Oct 25, 2017 rishu_darkshadow comment Share Follow See all 0 reply Please log in or register to add a comment.