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Question

Difficulty: EasyMust Be True / Most Strongly Supported

Premises:
Every musician who performs in the woodwind section of the Metropolis Symphony Orchestra is required to play both the orchestral flute and the piccolo. Julian performs in the woodwind section of the Metropolis Symphony Orchestra.

Statement: Julian is required to play the piccolo.

Answer: Answer

Answer

True
The statement is logically guaranteed by directly combining the universal rule with the individual factual premise: all woodwind section performers are required to play the piccolo, and Julian is a woodwind section performer.

Step-by-Step Solution

1
Identify the universal conditional rule given in the premises.
Membership in the woodwind section guarantees that a musician is required to play both the flute and the piccolo.
The quantifier 'Every' establishes a strict requirement for all members of the woodwind section.
2
Apply the factual premise about Julian to the rule.
Julian is explicitly stated to perform in the woodwind section.
This satisfies the condition that triggers the universal requirement.
3
Deduce the necessary conclusion.
Julian must be required to play both instruments, which necessarily includes the piccolo.
Since playing the piccolo is a component of the requirement for all woodwind performers, the statement must be true.

Key Concept

Direct conditional deduction (Modus Ponens) with universal quantification
Estimated Time:45s
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Topics

Must Be True / Most Strongly Supported

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