Question:
Statement:
I. One who has squared a circle is not a mathematician.
II. Therefore, \dots
Statement:
I. One who has squared a circle is not a mathematician.
II. Therefore, \dots
I. One who has squared a circle is not a mathematician.
II. Therefore, \dots
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When a statement is already universal (“Anyone who … is not …”), the valid conclusion is often its direct restatement in set form (“No one who … is …”).
Updated On: Aug 11, 2025
- No one who has squared a circle is a mathematician
- All non-mathematicians have squared a circle
- Some mathematicians have squared a circle
- All mathematicians square a circle
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The Correct Option is A
Solution and Explanation
The premise states a universal rule: “Anyone who has squared a circle is \emph{not} a mathematician.”
This is equivalent to saying: “No person who has squared a circle belongs to the set of mathematicians.”
Option (a) restates exactly this universal negative and thus follows. Options (b), (c), and (d) introduce claims not supported by the premise.
This is equivalent to saying: “No person who has squared a circle belongs to the set of mathematicians.”
Option (a) restates exactly this universal negative and thus follows. Options (b), (c), and (d) introduce claims not supported by the premise.
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