If 'Some men are vegetarians' is given as false, which of the following can be inferred to be true from it?

1.All men are vegetarians

2.No men are vegetarians

3.Some men are not vegetarians

4.All non-vegetarians are men

A1, 2 & 3 only

B2, 3 & 4 only

C2 & 3 only ✓ Correct

D3 only

Correct answer: (C) 2 & 3 only

Explanation

With "Some men are vegetarians" false, the truths are that E and O hold, giving 2 and 3.

I and E are contradictories, so a false I makes "No men are vegetarians" true.

I and O are subcontraries and cannot both be false, so a false I makes "Some men are not vegetarians" true.

A lies above the false I as superaltern and is therefore also false.

Thus only the E and O readings are secured as true.

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