Consider the statement There does not exist a narwhal that can live on land. Wri

Question

Consider the statement There does not exist a narwhal that can live on land. Write an equivalent English statement that begins with the words Every narwhal

Let P(x) be the predicate x can live on land, where the variable x represents animals. Write both statements symbolically using P(x) and quantifiers, (?, ?).

Every narwhal is unable to live on land. N(x) will be x is a narwhal

do these two mean the same thing? Every Narwhal is unable to live on land ?x N(x) ?~ P(x) and ?x N(x) ->   ~ P(x)

and do these three statements mean the same? There does not exist a narwhal that can live on land

~? x N(x), P(x)    or ~? x N(x) and P(x)    or ?x N(x) ? P(x)

Explanation / Answer

"There does not exist a narwhal that can live on land."

Equivalent statement can be :

"Every narwhal is unable to live on land."

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Symbolic statements:

P(x) :

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