Based on the two given premises above the line, determine whether the conclusion below the line is logically correct or incorrect.All football players are sportsmen.Some students are football players.Some students are sportsmen.a) Correctb) Incorrect
Question
Based on the two given premises above the line, determine whether the conclusion below the line is logically correct or incorrect.All football players are sportsmen.Some students are football players.Some students are sportsmen.a) Correctb) Incorrect
Solution
a) Correct
The conclusion is logically correct. Here's the step-by-step reasoning:
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The first premise states that all football players are sportsmen. This means that anyone who is a football player is also a sportsman.
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The second premise states that some students are football players. This means that there is at least one student who is also a football player.
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Given that all football players are sportsmen (from premise 1), it follows that if a student is a football player, that student is also a sportsman.
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Therefore, if some students are football players (from premise 2), then some students are also sportsmen.
So, the conclusion that some students are sportsmen is logically correct based on the given premises.
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