First Order Logic

Question

Please explain the Question number 33 and 34. What is significance of word "only" ?

Comments

34) A

For all x if x is a boy and he is eating something then the thing he is eating is a chocolate...

 

33) A

32) A

Answer 1

33: All chocolates are only eaten by boys(no one else is permitted to each chocolates).

34:Boys eat only chocolates (they are not permitted to eat anything else).

HAPPY LEARNING

Comments

@Hitesh for que 33

Ans given is (a) .

But as per you , (c) can be the option  -> All chocklacho are eaten by boys , but even single boy can eat all of them right ?

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@Hitesh

Thanks for the explanation, will you please  explain the difference in option (a) and (c) i.e "and" / "or" from question 34.

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@HeadShot in 33, option A says "for all items x, and for all people y, if x is a chocolate and y eats x, then the person y is a boy". This is exactly what the english version conveys.

Now lets analyze option a and c from 34:

option a says "for all people x, if x is a Boy and x eats y, then y is surely chocolate".

option c says "for all people x, if x is a Boy or x eats y, then y is surely chocolate".

Here option c is wrong because it gives us freedom to say that if person x eats item y, then y is chocolate.Here, it is not necessary that x should be a boy, but the english statement is talking only about boys.