Paper 1 · Logical Reasoning
UGC NET December 2021 June 2022 (22.09.2022) Shift-II
Given below are two statements. Statement I: In classical logic, the universal proposition implies the truth of its corresponding particular proposition. Statement II: Two propositions that cannot both be true and cannot both be false are called contraries. In the light of the above statements, choose the correct answer from the options given below.
- Statement I: In classical logic, the universal proposition implies the truth of its corresponding particular proposition.
- Statement II: Two propositions that cannot both be true and cannot both be false are called contraries.
ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false ✓ Correct
DStatement I is false but Statement II is true
Correct answer: (C) Statement I is true but Statement II is false — The answer is that Statement I is true but Statement II is false.
Explanation
★The answer is that Statement I is true but Statement II is false.
★In classical logic a true universal proposition does imply the truth of its particular, so Statement I is true.
★Two propositions that cannot both be true but can both be false are contraries.
★The pair that cannot both be true and cannot both be false are contradictories, not contraries.
★So the definition in Statement II is wrong, making it false.
★Thus only the first statement holds.
★So the answer is that Statement I is true but Statement II is false.
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