Question
Three statements are given, followed by three
conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: A- All rocks are oceans. B- All oceans are balloons. C- Some watches are balloons. Conclusions: I. Some balloons are rocks. II. Some watches are oceans. III. All oceans are rocks.Solution
All rocks are oceans (A) + All oceans are balloons (A) → All rocks are balloons (A) → Conversion → Some balloons are rocks (I). Hence conclusion I follows. Some watches are balloons (I) + Some balloons are oceans (I) → No conclusion. Hence conclusion II does not follow. All rocks are oceans (A) → Conversion → Some oceans are rocks (I). Hence conclusion III does not follow.
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