Using the predicate symbols shown and appropriate quantifiers, write each Englis

Question

Using the predicate symbols shown and appropriate quantifiers, write each English language statement in predicate logic. The domain is the whole world. In the definition of a predicate, the variables are placeholders. They will get instantiated within the scope of the quantifiers P(x) is "x is a person." T(x) is "x is a time." F(x, y) is "x is fooled at y." You can fool some of the people all of the time. You can fool all of the people some of the time. You can't fool all of the people all of the time.

Explanation / Answer

1) (x P)(y T )F(x, y),

2) (y T )(x P)F(x, y)

3) (x P)(y T )¬F(x, y)

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