If the statement "Some rectangles are not squares" is given as true, then…
2023
If the statement "Some rectangles are not squares" is given as true, then according to the square of opposition, which of the following statements can be immediately inferred to be false?
- A.
All rectangles are squares.
- B.
Some rectangles are squares.
- C.
No rectangles are squares.
- D.
Some squares are not rectangles.
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Correct answer: A
The statement 'Some rectangles are not squares' is an O-proposition (Particular Negative). In the square of opposition, the contradictory of an O-proposition is the A-proposition (Universal Affirmative), which states 'All rectangles are squares'. Since contradictories always have opposite truth values, if the O-statement is true, the A-statement must be false. Therefore, 'All rectangles are squares' can be inferred to be false.