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Statements: All books are journals. All journals are magazines. No magazines are novels. Conclusions: (I) No novels are journals. (II) All journals are books.
Only conclusion I follows
Only conclusion II follows
Both conclusions follow
Neither conclusion follows
Only conclusion I follows
Quick Trick: Represent the statement 'No A are B' as two separate circles that can never overlap, and use the hierarchy of 'All' to nest circles within each other.
Represent the statement 'No A are B' as two separate circles that can never overlap, and use the hierarchy of 'All' to nest circles within each other.
Visualize the hierarchy
Since All books are journals and All journals are magazines, we have a nested structure: Books inside Journals, and Journals inside Magazines.
Apply the negative constraint
The statement No magazines are novels implies that since Journals are inside Magazines, they are also entirely separate from Novels. Therefore, No journals are novels (and consequently, no books are novels).
Evaluate Conclusions
Conclusion I states No novels are journals, which is true because the entire set of journals is inside the set of magazines, which has no intersection with novels. Conclusion II states All journals are books, which is false; the reverse (All books are journals) is true, but we cannot infer that all journals are books.
B: Incorrect because 'All journals are books' contradicts the hierarchy 'All books are journals'. C: Incorrect because Conclusion II is invalid. D: Incorrect because Conclusion I is definitely true.
A is correct because Conclusion I is logically inferred from the negative relationship between magazines and novels, while Conclusion II reverses the given premise 'All books are journals'.
Always remember that in syllogisms, 'All A are B' does NOT imply 'All B are A'. Only the reverse inclusion holds true.