Statements: All buildings are streets. Some streets are canals. Conclusions:…
2024
Statements:
All buildings are streets.
Some streets are canals.
Conclusions:
I. Some canals are buildings.
II. All streets are canals.
- A.
Only conclusion I is correct.
- B.
Only conclusion II is correct.
- C.
Either I or II is correct.
- D.
Neither I nor II is correct.
Attempted by 25 students.
Show answer & explanation
Correct answer: D
Concept:
A conclusion follows from a syllogism only if it is forced by every diagram consistent with the premises. A particular ('some') statement links only part of its subject to its predicate, so it can never be stretched into a universal ('all') claim, and it does not by itself guarantee a link to a term that appears only in the other premise.
Application:
Statement 1 places every building inside streets: All buildings are streets.
Statement 2 places only part of streets inside canals: Some streets are canals.
Conclusion I claims some canals are buildings. Buildings could sit entirely in the part of streets that is not canals, so this overlap is only possible, not forced - Conclusion I does not follow.
Conclusion II claims all streets are canals. Statement 2 only established that some streets are canals, so extending it to all streets is unsupported - Conclusion II does not follow.
Cross-check:
Draw one diagram where the buildings-circle sits fully outside the canals-circle (still satisfies both statements, but breaks Conclusion I), and another where part of the streets-circle stays outside the canals-circle (still satisfies both statements, but breaks Conclusion II). Since a valid alternative diagram exists for each conclusion, neither is definite.
Result:
Neither I nor II follows, so the correct choice is the option stating that neither conclusion is correct.