Let P be the predicate P(x,y) "x owns y" where x represents people; y represents objects.
$$\exists y \exists x \neg P(x,y)$$
I am trying to convert the above statement into plain english, for some reason this one is giving me trouble but it should be very easy... I know that you cannot directly negate objects or people.
I read; "There exists an object and there exists person such that some person does not own some object."
"Some people do not own some objects"
The correct solution is given as; "Some things are not owned by everyone"
What is the correct thought process here? I know this is trivial but if you could be very detailed it would be helpful, I am trying to help a friend understand why this solution is correct; Although it seems I need the practice too.
EDIT: Thank you all very much for your help!