Statements A, B, D and E correctly capture the idea of logical entailment, whereas C is false. Entailment guarantees that there is no model in which all premises are true and the conclusion false, and in that sense it preserves truth from premises to conclusion. This is much stronger than mere observational correlation, and understanding this link is crucial for evaluating validity in UGC NET questions. A true conclusion does not have to follow from any set of true premises, which is why C is incorrect. Hence A, B, D, E only is the right set.
Option A:
Option A is correct because it collects all the central features of entailment and excludes C, which confuses “actually true” with “logically following from”. It reflects the standard semantic definition used in introductory logic and in exam preparation.
Option B:
Option B is wrong as it includes C, wrongly suggesting that any true conclusion is automatically entailed by any true-premise set, which denies the possibility of independent truths. A, B, C, D only therefore misstates how entailment works.
Option C:
Option C is incorrect since it omits D, and so it fails to highlight that entailment is stronger than correlation, a point often stressed when separating logical from empirical connections. A, B, E only is thus incomplete.
Option D:
Option D is also wrong because it leaves out A, dropping the precise semantic condition on entailment, and so B, D, E only does not provide the full set of correct statements requested.
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