Question:
Statement: All doctors are highly educated.
Conclusion: If a person is highly educated, they are a doctor.
Is the conclusion valid?
Statement: All doctors are highly educated.
Conclusion: If a person is highly educated, they are a doctor.
Is the conclusion valid?
Conclusion: If a person is highly educated, they are a doctor.
Is the conclusion valid?
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Avoid converse errors in logical reasoning; A \rightarrow B does not imply B \rightarrow A.
Updated On: Aug 11, 2025
- Yes
- No
- Partially valid
- Cannot determine
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The Correct Option is B
Solution and Explanation
- Step 1: Analyze the statement. "All doctors are highly educated" means D \rightarrow E (if doctor, then highly educated).
- Step 2: Evaluate the conclusion. The conclusion states, "If a person is highly educated, they are a doctor," i.e., E \rightarrow D.
- Step 3: Apply logical reasoning. The statement D \rightarrow E does not imply E \rightarrow D. Other professions (e.g., engineers) can also be highly educated, so the conclusion is invalid.
- Step 4: Test for validity. A highly educated person may not be a doctor, breaking the conclusion.
- Step 5: Check options. Option (1) "Yes" is incorrect as the conclusion is not logically valid. Option (2) "No" is correct. Option (3) "Partially valid" does not apply. Option (4) "Cannot determine" is incorrect as validity can be assessed.
- Step 6: Conclusion. Option (2) is correct.
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