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GO Classes DA Test Series | Artificial Intelligence | Propositional and Predicate logic | Question: 1

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8 8 votes
Let,
     W be the domain of weasels
     C(x)  is x is cuddly

Then the statement, "Some weasels are cuddly." can be written as,

                                                                ∃x∈W[C(x)]
Now, the negation of the statement is,

                                                                ~(∃x∈W[C(x)])

which is equivalent to,

                                                                ∀x∈W[~C(x)]

And it can be translated to, "All weasels are not cuddly." or "No weasels are cuddly"

Therefore, option A is correct.

 
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