Consider the statement There does not exist a narwhal that c

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)

Solution

\"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) :