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Name the mistake in the following: ‘All textbooks are books meant for careful study. Some reference…

Paper 1 · Logical Reasoning UGC NET June 2024 Re-Exam (23.08.2024) Shift-II
Name the mistake in the following: 'All textbooks are books meant for careful study. Some reference books are books meant for careful study. Therefore, some reference books are textbooks.'
AIllicit minor
BIllicit major
CUndistributed middle ✓ Correct
DFallacy of four terms
Correct answer: (C) Undistributed middle — The mistake is the undistributed middle, so that is the answer.
Explanation
The mistake is the undistributed middle, so that is the answer.
The middle term is 'books meant for careful study'.
In the first premise this term is the predicate of an affirmative, so it is undistributed.
In the second premise it is again the predicate of an affirmative, so it is undistributed there too.
A valid syllogism needs the middle term distributed at least once.
Since it is never distributed, the argument commits the undistributed middle fallacy.

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