Question # 5:Identify the error or errors in this argument that supposedlyshows that if ∃xP(x)∧∃xQ(x)is true then∃x(P(x)∧Q(x))is true.∃xP(x)∨∃xQ(x) Premise∃xP(x) Simplification from (1)P(c) Existential instantiation from (2)∃xQ(x) Simplification from (1)Q(c) Existential instantiation from (4)P(c)∧Q(c) Conjunction from (3) and (5)∃x(P(x)∧Q(x)) Existential generalization

Name: Question # 5:Identify the error or errors in this argument that suppos
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Description: Question # 5:Identify the error or errors in this argument that supposedlyshows that if ∃xP(x)∧∃xQ(x)is true then∃x(P(x)∧Q(x))is true.∃xP(x)∨∃xQ(x) Premise∃xP(x) Simplification from (1)P(c) Existential instantiation from (2)∃xQ(x) Simplification from

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Answered: Identify the error or errors in this…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question # 5:

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

∃xP(x)∨∃xQ(x) Premise
∃xP(x) Simplification from (1)
P(c) Existential instantiation from (2)
∃xQ(x) Simplification from (1)
Q(c) Existential instantiation from (4)
P(c)∧Q(c) Conjunction from (3) and (5)
∃x(P(x)∧Q(x)) Existential generalization

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