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Which of the following statements are correct? A. A proposition and E proposition are contradictories B. A proposition and O proposition are contradictories C. E proposition and O proposition are contradictories D. I proposition and O proposition are contraries E. I proposition and O proposition are subcontraies Choose the correct answer from the options given below:

Which of the following statements are correct? A. A proposition and E proposition are contradictories B. A proposition and O proposition are contradictories C. E proposition and O proposition are contradictories D. I proposition and O proposition are contraries E. I proposition and O proposition are subcontraies Choose the correct answer from the options given below: Correct Answer B and E only

The square of opposition is a diagram used in categorical logic to depict the logical relationship that exists between particular propositions based on their form.


Key Points

Relationships between Propositions:

Types Characteristics
Contradictory
  • A and O, E, and I propositions are contradictory. 
  • The truth of an assertion of the form All S are P implies the falsity of the corresponding proposition of the type. Some S are not P.
  • For example, if the proposition "All cats are black" (A) is true, then the proposition "some Cats are not black" (O) must be false. 
Contrary
  • A and E propositions are contrary. 
  • Propositions are contrary when they cannot both be true. 
  • For Example, if the proposition "All cats are black" (A) is true, then the proposition "No cats are black" (E) must be false.  
Sub-contrary 
  • I and E propositions are subcontrary.
  • Propositions are subcontrary when it is impossible for both to be false.
  • For Example, if the proposition "Some cats are black" (I) is true, then "Some cats are not black" is not true. 
Subalternation 
  • A and I, E and O propositions are Subalternation. 
  • The subalternation relation exists between a proposition and the equivalent I proposition.
  • the falsity of an I or O assertion implies, respectively, the falsity of the corresponding A or E proposition.
  • For Example, if the proposition "All cats are black" (A) is true, then the propositions " Some cats are black" (I) is also true.  

Therefore, from the above information B and E only is the correct option. 

Related Questions

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R  Assertion A: A proposition is a statement about observable phenomena (concepts) that may be judged as true or false.  Reason R: When a proposition is formulated for empirical testing, it is called a hypothesis.  In light of the above statements, choose the most appropriate answer from the options given below 
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Propositional logic is referred as
1. statements logic.
2. proposition which join entire proposition.
3. argument logic.
4. proposition does not join entire proposition.
Select the correct answer:
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Which one of the following combination of proportions is considered to be contraries in the classical square of opposition?