Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?
Show Hint
- No human is intelligent.
- All humans are intelligent.
- Some non-humans are intelligent.
- Some intelligent beings are humans.
The Correct Option is D
Solution and Explanation
Step 1: Analyze the given statement.
The statement is: "Some humans are intelligent."
This means that at least a few members of the set 'humans' belong to the set 'intelligent beings'.
Step 2: Check each option logically.
- (A) "No human is intelligent" \Rightarrow Contradicts the given statement. Hence, false.
- (B) "All humans are intelligent" \Rightarrow The original statement only says 'some', not 'all'. Cannot be inferred with certainty.
- (C) "Some non-humans are intelligent" \Rightarrow Nothing about non-humans is given in the statement. Cannot be inferred.
- (D) "Some intelligent beings are humans" \Rightarrow This is exactly equivalent to the given statement "Some humans are intelligent," just expressed differently. Correct.
\[
\boxed{\text{Some intelligent beings are humans.}}
\]
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