Given below are two statements; one is labelled as assertion (A) and other is labeled as reason (R)
Assertion (A): A valid deductive argument with all true premises will lead to a true conclusion.
Reason (R): In a valid deductive argument, the conclusion follows from the premises with absolute necessity.
In the light of the above statements, choose the correct answer from the options given below:
Correct Answer :
Both and (R) are true and (R) is the correct of (A)
Solution :
The correct answer is: Both and (R) are true and (R) is the correct of (A) (which corresponds to: Both Assertion (A) and Reason (R) are true, and (R) is the correct explanation of (A)).
Step-by-step Explanation:
1. Analysis of Assertion (A):
Assertion (A) states: "A valid deductive argument with all true premises will lead to a true conclusion."
In logic, a deductive argument is defined as "valid" if and only if the structure of the argument makes it impossible for the premises to be true and the conclusion to be false at the same time. If an argument is valid and all its premises are factually true, the argument is considered "sound". In any sound deductive argument, the conclusion must guarantee truth. Therefore, if a valid deductive argument has all true premises, its conclusion is guaranteed to be true. Thus, Assertion (A) is true.
2. Analysis of Reason (R):
Reason (R) states: "In a valid deductive argument, the conclusion follows from the premises with absolute necessity."
The defining feature of a valid deductive argument is the logical necessity connecting the premises to the conclusion. Unlike inductive arguments, where the premises only make the conclusion probable, deductive validity establishes a strict relationship of absolute certainty: if the premises are accepted as true, the conclusion must also be accepted. Thus, Reason (R) is true.
3. Evaluating the Relationship between Assertion and Reason:
To determine if (R) is the correct explanation of (A), we ask: Why does a valid deductive argument with all true premises lead to a true conclusion?
The answer is precisely because the relationship between the premises and the conclusion is one of absolute necessity; the structural validity guarantees that the truth of the premises is unconditionally transferred to the conclusion. Therefore, Reason (R) provides the direct logical justification for Assertion (A).
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