6.825 Exercise Solutions: Week 3
There is no interpretation that makes the first sentence true and the second sentence false. Reason: For the second sentence to be false, ∀x.f(x) has to be true, and g(A) has to be false. With these two requirements, we can see that the first sentence cannot be true because f(x) is true for ∀x, and g(A) is false. 2
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