Negating the Nested Quantifiers (Example 2)

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Discrete Mathematics: Negating the Nested Quantifiers.
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1) Solved example on negating the nested quantifiers.

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Комментарии
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can we use AND between "v(x, y) and y not equal libya" instead implication?

rahulverma
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01:29 Can I write like this ∃x ( ∀y V(x, y) <--> y ≠ Libya ) ? later i can move ∀y outside. Is it okay ?

rajeshprajapati
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Can I translate the equivalent statement to be "There exists x for all y (y~=Libya ->V(x, y)"? It seems logical this way. If y is not Libya, then x has visited it. What you did is correct, but not sure why mine interpretation is wrong. Please help!

twilight
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how can this be? -(p <-> q) = p <-> -q

asmrEveryday
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can The negation statement can also : everyone has visited some country iff the country is libya.

AMISHADAS-qv
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sir please prefer me book for this tpoic

rohitkumar
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here " someone " means a unique person as word "someone" is singular ? Original sentence could mean like " there is only one person who has visited all other countries except Libya"

AjeetKumar-moxt
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The English expression is incorrect. It should be as follows:-

Every person has either visited Libya or he hasn't visited SOME country other than Libya.

hrishikeshdeshpande
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the english translation of the negation is quite irrelevant. it's simply this:
Everyone has visited libya.
and that intuitively makes sense as the opposite of the given statement

fadyaldhaim
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