Question: Identify the error or errors in this argument that supposedly shows that if x(P (x) Q(x)) is true then xP (x) xQ(x) is true. 1.

Identify the error or errors in this argument that supposedly shows that if x(P (x) Q(x)) is true then xP (x) xQ(x) is true.

1. x(P (x) Q(x)) Premise

2. P (c) Q(c) Universal instantiation from (1)

3. P (c) Simplification from (2)

4. xP (x) Universal generalization from (3)

5. Q(c) Simplification from (2)

6. xQ(x) Universal generalization from (5)

7. x(P (x) xQ(x)) Conjunction from (4) and (6)

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