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.
Best answer 1 votes 1 votes Answer: B,C Given premises: $P, P \rightarrow Q$ Valid Conclusion: $Q$ (By Modus Ponens rule of inference) Transitively another Valid Conclusion: $P \wedge Q$ (By Conjunction rule of inference) Deepak Poonia answered Dec 8, 2022 • selected Dec 8, 2022 by gatecse Deepak Poonia comment Share Follow See all 0 reply Please log in or register to add a comment.
3 votes 3 votes P -> Q ans P infer to Q Using : Modus Ponens B is answer Prashant. answered Aug 11, 2016 Prashant. comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes P -> Q = ~P V Q So we can infer Q answer is B sh!va answered Aug 11, 2016 • edited Apr 6, 2017 by sh!va sh!va comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes if P then Q P is given so we can infer Q Sanjay Sharma answered Aug 11, 2016 Sanjay Sharma comment Share Follow See all 0 reply Please log in or register to add a comment.