Match List I with List - II.

List - I (In a square of opposition)		List - II (Result)
(A)	If 'E' is False	(I)	'O' is Undetermined
(B)	If 'O' is True	(II)	'E' is True
(C)	If 'I' is False	(III)	'E' is False
(D)	If 'A' is True	(IV)	'E' is Undetermined

 

 

 

 

 

 

 

Choose the correct answer from the options given below:

The correct answer is - (A)-(I), (B)-(IV), (C)-(II), (D)-(III)

Key Points

• (A)-(I)
  • If 'E' (Universal Negative) is False, then 'O' (Particular Negative) is Undetermined.
• (B)-(IV)
  • If 'O' (Particular Negative) is True, then 'E' (Universal Negative) is Undetermined.
• (C)-(II)
  • If 'I' (Particular Affirmative) is False, then 'E' (Universal Negative) is True.
• (D)-(III)
  • If 'A' (Universal Affirmative) is True, then 'E' (Universal Negative) is False.

Additional Information

• Square of Opposition
  • It is a diagram representing different ways in which each of the four propositions of classical categorical logic can be logically related to each other.
  • The four types of categorical propositions are:
    • 'A': Universal Affirmative (All S are P)
    • 'E': Universal Negative (No S are P)
    • 'I': Particular Affirmative (Some S are P)
    • 'O': Particular Negative (Some S are not P)
• Contradictory Relationship
  • In the square of opposition, propositions 'A' and 'O' are contradictory, as are 'E' and 'I'.
  • If one is true, the other must be false, and vice versa.
• Contrary Relationship
  • Propositions 'A' and 'E' are contraries. They cannot both be true, but they can both be false.
• Subcontrary Relationship
  • Propositions 'I' and 'O' are subcontraries. They cannot both be false, but they can both be true.
• Subalternation
  • 'A' implies 'I' and 'E' implies 'O'. If the universal is true, the particular is true. If the particular is false, the universal is false.