Question

Find the conclusions which can be concluded from given statements

Statement. I - All cars are chairs.
Statement. II - Some girls are chairs.
Conclusion A - Some cars are girls.
Conclusion B - Some girls are cars.

• A. If only conclusion 'A' follows.
• B. If only conclusion 'B' follows.
• C. If either 'A' or 'B' follows.
• D. If neither 'A' nor 'B' follows.
• E. lf both 'A' and 'B' follow.

Answer 1

Answer: (D)

If neither 'A' nor 'B' follows.

The first premise is an 'A' type proposition. So the middle term 'chairs' forming the predicate is not distributed. The second premise is an 'I' type proposition. So, the middle term forming the predicate is not distributed. Since the middle term is not distributed at least once in the premises, no conclusion follows (rule 2).
This problem can also be analysed with the help of logical Venn diagrams. The given statements can be represented by using Venn diagram as under:
From the above diagram, we can infer that none of the given conclusions follow.