If the statement 'No squares are circles' is given as true, which of the following statements can be immediately inferred to be false? Choose the correct answer from the options given below.
1.Some circles are not squares
2.All squares are circles
3.Some squares are circles
4.Some squares are not circles
A1 and 4 only
B2 and 4 only ✓ Correct
C3 and 4 only
D1 and 3 only
Correct answer: (B) 2 and 4 only
Explanation
From the true 'No squares are circles', the affirmative claims that squares are circles come out false.
A true E proposition is the universal negative denying any overlap between the two classes.
Its contrary, the A proposition 'All squares are circles', must then be false.
Its contradictory, the I proposition 'Some squares are circles', is likewise false.
These follow directly from the relations of contrariety and contradiction in the square of opposition.
The universal negative rules out every affirmative statement of overlap between squares and circles.
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