Take the statements below to be true, even if they differ from known facts. Which of the conclusions follow logically from them?
Statements:
1. All potters are weavers.
2. All potters are sculptors.
3. No sculptor is a miser.
Conclusions:
I. Some weavers are not misers.
II. Some weavers are sculptors.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Both conclusions I and II follow
A conclusion follows only if it is true in every diagram that fits the statements; each class named in a statement is taken to have members.
“All potters are weavers”: the circle of potters lies inside the circle of weavers
“All potters are sculptors”: the circle of potters also lies inside the circle of sculptors
“No sculptor is a miser”: the circles of sculptors and misers do not touch
Conclusion I: Some weavers are not misers. — Follows. The potters are weavers; they are also sculptors, and no sculptor is a miser; so these weavers are not misers.
Conclusion II: Some weavers are sculptors. — Follows. The potters are weavers and also sculptors, so at least the potters are weavers who are sculptors.