If 'some men are violent is given as false which of the following could be immediately inferred from it?
(A) 'No men are violent is undetermined
(B) 'Some men are not violent is true
(C) 'No men are violent is true
(D) All men are violent is false
Choose the correct answer from the options given below:

Correct option is A

The falsity of the statement 'Some men are violent' means that no men can be violent. Here’s the detailed reasoning:
· (B) 'Some men are not violent' is true: If 'Some men are violent' is false, it means that men either fall into the category of being completely non-violent or no one is violent at all. Therefore, this is true.
· (C) 'No men are violent' is true: Since the falsity of 'Some men are violent' excludes the existence of any violent men, it directly proves that 'No men are violent' is true.
· (D) 'All men are violent' is false: If no men are violent, it contradicts the possibility of all men being violent, making this statement false.
Information Booster: 1. Negating 'Some' often leads to conclusions about universal or complementary statements.
2. Logical reasoning in syllogisms often involves contraries (e.g., 'Some' vs. 'None').
3. 'No men are violent' becomes a valid universal conclusion when 'Some men are violent' is proven false.
4. Immediate inference refers to conclusions drawn without intermediate steps.
5. 'All' and 'Some' have strict logical interdependencies in categorical syllogisms.
Additional Knowledge: · (A) 'No men are violent' is undetermined: This option is incorrect because the falsity of 'Some men are violent' necessitates the universal truth that no men are violent. Therefore, it is a clear conclusion, not an undetermined case.