In a square of opposition, if the proposition No animals with horns are carnivores is false, which of the following codes is correct?

1.Some animals with horns are carnivores is true

2.Some animals with horns are not carnivores is true

3.All animals with horns are carnivores is false

4.All animals with horns are carnivores is undetermined

A1 & 4 only ✓ Correct

B1 & 3 only

C2 & 3 only

D2 & 4 only

Correct answer: (A) 1 & 4 only

Explanation

The true results are that Some animals with horns are carnivores is true and All animals with horns are carnivores is undetermined.

The false proposition is the E form, so its contradictory I, Some horned animals are carnivores, must be true.

The A form is the contrary of the false E, and when one contrary is false the other stays undetermined.

So All horned animals are carnivores can be neither affirmed nor denied here.

This makes statement 1 true and statement 4 correct as undetermined.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.