Premises: All educated people read newspapers (Educated ⟶ Reads). Rahul does not read a newspaper (¬Reads(Rahul)). Conclusions: (I) Rahul is not educated. (II) Reading newspaper is not essential to be educated.
Concept/ApproachUse contrapositive-style reasoning: If all A are B, any non-B cannot be A. Then assess whether the second conclusion contradicts the given universal.Evaluate Conclusion IFrom Educated ⟶ Reads and ¬Reads(Rahul) ⇒ ¬Educated(Rahul). Thus I follows.Evaluate Conclusion IIThe premise states reading is necessary for being educated. Saying it is ‘‘not essential’’ contradicts the premise; II does not follow.Common pitfallsTreating ‘‘All A are B’’ as if it allowed exceptions. It does not; one counterexample forces ‘‘not A.’’Final AnswerOnly conclusion I follows.
Discussion & Comments