Let R(x) be \"x can climb\", and let the domain of discourse be koalas. Identify

Question

Let R(x) be "x can climb", and let the domain of discourse be koalas. Identify the expression for the statement "Every koala can climb" and its negation and the English sentence for the negation. The expression is vx F(x), its negation is x Rx and the sentence is "There is a koala that can climb The expression is x F(x), its negation is x P(x) and the sentence is "There is a koala that cannot climb. The expression is x P(x), its negation is x P(x) and the sentence is "There is a koala that can climb. The expression is x P(x), its negation is x P(x) and the sentence is "There is a koala that cannot climb".

Explanation / Answer

B)

the expression is

for all x F(x) , its negation is there exist x¬F(x) the sentence is "There is a koala that cannot climb"

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