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What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?
- a)Contradictory
- b)Subalterns
- c)Contraries
- d)Sub-Contrary
Correct answer is option 'A'. Can you explain this answer?
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What kind of relationship in the square of opposition exists between p...
The relationship termed Contradictory in the square of opposition involves propositions that differ in quality and quantity. In this relationship, if one proposition is true, the other is false. For instance, the propositions "All dogs are mammals" (A) and "Some dogs are not mammals" (O) are considered contradictory. Understanding these logical relationships aids in analyzing and evaluating the validity of arguments.
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What kind of relationship in the square of opposition exists between p...
Understanding the Square of Opposition
The square of opposition is a diagram representing the relationships between different types of categorical propositions. It consists of four corners representing four types of propositions based on quality (affirmative or negative) and quantity (universal or particular).
Contradictory Propositions
- Contradictory propositions are those that cannot both be true at the same time, nor can they both be false.
- They are positioned diagonally in the square of opposition. For example:
- Universal affirmative (All S are P) and particular negative (Some S are not P) are contradictory.
- If one is true, the other must be false.
Variations in Quality and Quantity
- The propositions that vary in both quality (affirmative vs. negative) and quantity (universal vs. particular) lead to contradictions.
- For instance:
- If "All cats are mammals" (universal affirmative) is true, then "Some cats are not mammals" (particular negative) must be false.
Why Option A is Correct
- The correct answer is option 'A' because contradictory relationships highlight the exclusive nature of truth values between propositions.
- This ensures that the truth of one directly negates the truth of the other, fulfilling the criteria of varying in both quality and quantity.
Conclusion
In summary, contradictory propositions in the square of opposition represent fundamental logical relationships, where the truth of one proposition guarantees the falsehood of another. Understanding this relationship is crucial for studying logical reasoning and argumentation in the UGC NET context.
The square of opposition is a diagram representing the relationships between different types of categorical propositions. It consists of four corners representing four types of propositions based on quality (affirmative or negative) and quantity (universal or particular).
Contradictory Propositions
- Contradictory propositions are those that cannot both be true at the same time, nor can they both be false.
- They are positioned diagonally in the square of opposition. For example:
- Universal affirmative (All S are P) and particular negative (Some S are not P) are contradictory.
- If one is true, the other must be false.
Variations in Quality and Quantity
- The propositions that vary in both quality (affirmative vs. negative) and quantity (universal vs. particular) lead to contradictions.
- For instance:
- If "All cats are mammals" (universal affirmative) is true, then "Some cats are not mammals" (particular negative) must be false.
Why Option A is Correct
- The correct answer is option 'A' because contradictory relationships highlight the exclusive nature of truth values between propositions.
- This ensures that the truth of one directly negates the truth of the other, fulfilling the criteria of varying in both quality and quantity.
Conclusion
In summary, contradictory propositions in the square of opposition represent fundamental logical relationships, where the truth of one proposition guarantees the falsehood of another. Understanding this relationship is crucial for studying logical reasoning and argumentation in the UGC NET context.
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What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer?.
What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What kind of relationship in the square of opposition exists between propositions that vary in both quality and quantity, ensuring that if one is true, the other must be false?a)Contradictoryb)Subalternsc)Contrariesd)Sub-ContraryCorrect answer is option 'A'. Can you explain this answer?.
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