Discussion
If the statement 'some men are honest' is false, which among the following statements will be true.
Choose the correct code given below :
(i) All men are honest.
(ii) No men are honest.
(iii) Some men are not honest.
(iv) All men are dishonest.
Codes :
Answer: B
If 'some men are honest' is false, then (ii), (iii) and (iv) are true.
The statement is a particular affirmative (I). It is false when its contradictory, the universal negative 'no men are honest', is true, which is (ii). Since no men are honest, some men are certainly not honest, which is (iii), and all men are dishonest, which is (iv).
Statement (i), 'all men are honest', would make 'some men are honest' true, so it cannot hold. Codes that contain (i) are therefore wrong.
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