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Which of the following statements is equivalent to the statement ‘Some philosophers are not idealists’?

Paper 1 · Logical Reasoning UGC NET December 2023 (19.12.2023) Shift-II
Which of the following statements is equivalent to the statement 'Some philosophers are not idealists'?
ASome philosophers are not non-idealists
BNo idealists are philosophers
CSome non-idealists are not philosophers
DSome non-idealists are not non-philosophers ✓ Correct
Correct answer: (D) Some non-idealists are not non-philosophers — The equivalent statement is some non idealists are not non philosophers, so that is the answer.
Explanation
The equivalent statement is some non idealists are not non philosophers, so that is the answer.
The original is some philosophers are not idealists, a type O statement.
Obversion and conversion transform a statement while keeping its meaning.
Applying double negation to the terms preserves the original logical force.
Some non idealists are not non philosophers restates the same relation.
The other options change the logical type and are not equivalent.

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