Statements: All blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Statements: All blades are sharp.Some blades are blunt.No blunt is a sword.Conclusions:I. All sword being blades is a possibility.II. At least some blades may be swords.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The answer is "If only conclusion II follows".
Here's the step by step reasoning:
Statement 1: All blades are sharp. This means every blade falls into the category of sharp objects.
Statement 2: Some blades are blunt. This means there is an overlap between blades and blunt objects.
Statement 3: No blunt is a sword. This means there is no overlap between blunt objects and swords.
Conclusion I: All sword being blades is a possibility. This cannot be true because some blades are blunt and no blunt is a sword. So, all swords cannot be blades.
Conclusion II: At least some blades may be swords. This can be true because while some
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