Based on the two given premises above the line, determine whether the conclusion below the line is logically correct or incorrect.All painters are artists.Some criminals are painters.Some criminals are artists.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 painters are artists.Some criminals are painters.Some criminals are artists.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 painters are artists. This means that anyone who is a painter is also an artist.
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The second premise states that some criminals are painters. This means that there is at least one criminal who is also a painter.
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Given that all painters are artists (from premise 1), it follows that if there is at least one criminal who is a painter (from premise 2), then there is at least one criminal who is an artist.
Therefore, the conclusion that some criminals are artists is logically correct based on the given premises.
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