All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.
Question
All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.
Solution 1
The conclusions can be derived as follows:
I. No bottle is a cup: This conclusion is true. Since all bottles are glasses and no cup is a glass, it follows that no bottle can be a cup.
II. At least some glasses are bottles: This conclusion is also true. Since all bottles are glasses, it follows that at least some glasses are indeed bottles.
Solution 2
The conclusions can be derived as follows:
I. No bottle is a cup: This conclusion is true. Since all bottles are glasses and no cup is a glass, it follows that no bottle can be a cup.
II. At least some glasses are bottles: This conclusion is also true. Since all bottles are glasses, it follows that at least some glasses are indeed bottles.
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