Match List - I with List - II.
List - I
List - I
List - IIA p · q I ~ (~ p · ~ q) B p v q II (p · q) v (~ p · ~ q) C p ⊃ q III ~ (~ p v ~ q) D p ≡ q IV ~ p v q
Choose the correct answer from the options given below :
Logical Proposition Equivalences
The task is to match logical propositions in List-I with their equivalent forms in List-II using rules of propositional logic.
Matching Derivations
- A: $p \cdot q$ (Conjunction): This represents '$p$ AND $q$'. It matches with III: $\sim (\sim p \lor \sim q)$. Using De Morgan's law, $\sim (\sim p \lor \sim q)$ is equivalent to $\sim (\sim (p \cdot q))$, which simplifies to $p \cdot q$.
- B: $p \lor q$ (Disjunction): This represents '$p$ OR $q$'. It matches with I: $\sim (\sim p \cdot \sim q)$. Using De Morgan's law, $\sim (\sim p \cdot \sim q)$ is equivalent to $\sim (\sim (p \lor q))$, which simplifies to $p \lor q$.
- C: $p \supset q$ (Implication): This represents 'IF $p$ THEN $q$'. The standard logical equivalence for implication is $\sim p \lor q$. This directly matches IV: $\sim p \lor q$.
- D: $p \equiv q$ (Biconditional): This represents '$p$ IF AND ONLY IF $q$', meaning $p$ and $q$ have the same truth value. It matches II: $(p \cdot q) \lor (\sim p \cdot \sim q)$, which is true if both $p$ and $q$ are true, or if both $p$ and $q$ are false.
Final Match Summary
The derived matching is:
- A - III
- B - I
- C - IV
- D - II
This corresponds to the second option provided.
Similar Questions
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List - I
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List - I
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List - I
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List - I
List - IIA Forms are absolute. I Hume B To be is to be perceived. II Locke C Causes of the impression are unknown. III Plato D Primary qualities inhere in the objects. IV Berkeley Choose the correct answer from the options given below :
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List - I
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List - I
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Match List - I with List - II.
List - I
List - IIA Teleological Argument I There is order in the universe. B Causal Argument II There exists a perfect idea of God. C Cosmological Argument III Everything in the universe is caused. D Ontological Argument IV There is a purpose in the universe. Choose the correct answer from the options given below :
Match List - I with List - II.
List - I
List - IIA Three sources of knowledge I Nyāya-vaisheshika B Four sources of knowledge II Prabhakar Mimansa C Five sources of knowledge III Jainism D Six sources of knowledge IV Kumarila Mimamsa
Choose the correct answer from the options given below :Match List - I with List - II.
List - I
List - IIA Evolutionism I Gabriel Marcel B Existentialism II C. S. Peirce C Pragmatism III Herbert Spencer D Logical Positivism IV Rudolf Carnap
Choose the correct answer from the options given below :
Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
