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In the classical square of opposition, if ‘Some S is P’ is given as true, then…

Paper 1 · Logical Reasoning UGC NET December 2021 June 2022 (29.09.2022) Shift-I
In the classical square of opposition, if 'Some S is P' is given as true, then which of the following can be immediately inferred from it?
  • 'Some S is not P' is false
  • 'Some S is not P' is true
  • 'No S is P' is false
  • 'All S is P' is undetermined
  • 'Some S is not P' is undetermined
A1, 3 & 4 only
B3, 4 & 5 only ✓ Correct
C2, 3 & 4 only
D2 & 3 only
Correct answer: (B) 3, 4 & 5 only — The answer is 3, 4 and 5.
Explanation
The answer is 3, 4 and 5.
If 'Some S is P' is true, then its contradictory 'No S is P' must be false, which is item 3.
The superaltern 'All S is P' cannot be settled and stays undetermined, which is item 4.
The subcontrary 'Some S is not P' also stays undetermined, which is item 5.
So 'Some S is not P' being false, item 1, does not follow, nor does its being true, item 2.
So statements 3, 4 and 5 can be inferred.
So the answer is 3, 4 and 5.

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