Question: Identify the error or errors in this argument that supposedly shows that if xP(x)xQ(x) is true, then x(P(x)Q(x)) is true. 1. xP(x)xQ(x) Premise 2. xP(x)

 Identify the error or errors in this argument that supposedly shows

Identify the error or errors in this argument that supposedly shows that if xP(x)xQ(x) is true, then x(P(x)Q(x)) is true. 1. xP(x)xQ(x) Premise 2. xP(x) 3. P(c) Existential instantiation from (2) 4. xQ(x) Simplification from (1) 5. Q(c) Existential instantiation from (4) 6. P(c)Q(c) Conjunction from (3) and (5) 7. x(P(x)Q(x)) Existential generalization Multiple Choice The error is in step 5; we cannot assume that the c that makes P true and the c that makes Q true are the same. The error is in step 7; we cannot assume that x(P(x)Q(x)) when P(c)Q(c) is true. The error is in step 3; we cannot conclude that the value of x that makes xP(x) true is c. The error is in step 4; we cannot conclude that xQ(x) is true from xP(x)xQ(x)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!