Question:
In the opposition of propositions, which one among the following is the contradictory of A proposition?
In the opposition of propositions, which one among the following is the contradictory of A proposition?
Show Hint
In logical terms, the contradictory of an A proposition (All S are P) is an O proposition (Some S are not P).
Updated On: Nov 21, 2025
- Only O
- Only E
- Only I
- E and O
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Understanding the opposition of propositions.
In logic, the opposition of propositions involves the relationship between different types of categorical propositions (A, E, I, O). The contradictory of a proposition is the one that is always opposite in truth value. Step 2: Analyzing the options.
- (A) Only O: The contradictory of an A proposition is an O proposition. This is correct because A and O propositions are opposites.
- (B) Only E: E propositions are contradictories of I propositions, not A propositions.
- (C) Only I: I propositions are contradictories of E propositions, not A propositions.
- (D) E and O: This is incorrect, as only the O proposition is the contradictory of the A proposition.
Step 3: Conclusion.
The correct answer is (A), as the O proposition is the contradictory of the A proposition.
In logic, the opposition of propositions involves the relationship between different types of categorical propositions (A, E, I, O). The contradictory of a proposition is the one that is always opposite in truth value. Step 2: Analyzing the options.
- (A) Only O: The contradictory of an A proposition is an O proposition. This is correct because A and O propositions are opposites.
- (B) Only E: E propositions are contradictories of I propositions, not A propositions.
- (C) Only I: I propositions are contradictories of E propositions, not A propositions.
- (D) E and O: This is incorrect, as only the O proposition is the contradictory of the A proposition.
Step 3: Conclusion.
The correct answer is (A), as the O proposition is the contradictory of the A proposition.
Was this answer helpful?
0
0
Top GATE XH- C4 Classical Indian Philosophy Questions
- The Chāndogya Upaniṣad gives the mahāvākya – Tat tvam asi (Ch. Upa. 6:8:7), ‘That you are.’ In this ‘great statement’ what does “tat” (“that”) stand for?
- In Kāṣmīra Śaivism, Śiva is the only reality which assumes forms in cosmic manifestations. How many principles (tattvas) of cosmic manifestations does Kāṣmīra Śaivism admit?
- How many Pramāṇas are accepted in the Advaita theory of knowledge?
- Cārvāka school of thought admits the existence of four elements: earth, water, fire and air. Why is the fifth element, ether (ākāśa), rejected?
- Which one among the following is the theory of error advocated by Nyāya school of Indian philosophy?
View More Questions
Top GATE XH- C4 Indian Philosophy and Education Questions
- The Chāndogya Upaniṣad gives the mahāvākya – Tat tvam asi (Ch. Upa. 6:8:7), ‘That you are.’ In this ‘great statement’ what does “tat” (“that”) stand for?
- In Kāṣmīra Śaivism, Śiva is the only reality which assumes forms in cosmic manifestations. How many principles (tattvas) of cosmic manifestations does Kāṣmīra Śaivism admit?
- How many Pramāṇas are accepted in the Advaita theory of knowledge?
- Cārvāka school of thought admits the existence of four elements: earth, water, fire and air. Why is the fifth element, ether (ākāśa), rejected?
- Which one among the following is the theory of error advocated by Nyāya school of Indian philosophy?
View More Questions
Top GATE XH- C4 Questions
- If ‘—’ denotes increasing order of intensity, then the meaning of the words [simmer — seethe — smolder] is analogous to [break — raze — ]. Which one of the given options is appropriate to fill the blank?
- In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is:
- For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \[ \left(\frac{p}{q}\right)^{\frac{p}{q}} = \left(\frac{p}{q}\right)^{(\frac{p}{q} - 1)}. \] Then: (1) \( q^p = p^q \)
- Which one of the given options is a possible value of \( X \) in the following sequence? \[ 3, 7, 15, X, 63, 127, 255 \]
- On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
View More Questions