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In the classical square of opposition, if the proposition ‘Some S is not P’ is given…

Paper 1 · Logical Reasoning UGC NET December 2021 June 2022 (11.07.2022) Shift-I
In the classical square of opposition, if the proposition 'Some S is not P' is given as false, then which of the following could be immediately inferred from it?
  • 1. 'Some S is P' is true
  • 2. 'Some S is P' is undetermined
  • 3. 'Some S is P' is false
  • 4. 'All S is P' is undetermined
  • 5. 'All S is P' is true
A2, 3 and 5 only
B1, 3 and 5 only ✓ Correct
C2, 3 and 4 only
D1, 3 and 4 only
Correct answer: (B) 1, 3 and 5 only — The proposition 'Some S is not P' is the particular negative or O type.
Explanation
The proposition 'Some S is not P' is the particular negative or O type.
If O is false, then its contradictory 'All S is P', the universal affirmative A, must be true.
If A is true, then by subalternation its particular 'Some S is P', the I type, is also true.
So the two genuine inferences are that 'Some S is P' is true and 'All S is P' is true.
The square of opposition links A, E, I and O by contradiction, contrariety, and subalternation.
This item was dropped by the examining body because no option cleanly lists only those two inferences.
Mapping the falsity of one corner across the square is the core skill tested here.

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