Identify the error(s) in that argument that supposedly shows that if VP(x) Q(a) and 3aQ(a) is true then P(x) is true. Propositions Inference Rules (a) VP(a) → Q(x) Premise (b) 3aQ(x) Premise (c) P(c) → Q(c) Universal Instantiation from (a) (d) Q(c) Existential Instantiation from (b) (e) P(c) Modus Tollens from (c) an (d) (f) 3x P(x) Universal Generalization (e) Step (d) Step (c) Step (f) Step (e)
Identify the error(s) in that argument that supposedly shows that if VP(x) Q(a) and 3aQ(a) is true then P(x) is true. Propositions Inference Rules (a) VP(a) → Q(x) Premise (b) 3aQ(x) Premise (c) P(c) → Q(c) Universal Instantiation from (a) (d) Q(c) Existential Instantiation from (b) (e) P(c) Modus Tollens from (c) an (d) (f) 3x P(x) Universal Generalization (e) Step (d) Step (c) Step (f) Step (e)
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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Identify the error(s) in that argument that supposedly shows that if
VP(a) → Q(a) and 3aQ(a) is true then P(x) is true.
Propositions
Inference Rules
Premise
Premise
Universal Instantiation from (a)
Existential Instantiation from (b)
Modus Tollens from (c) an (d)
Universal Generalization (e)
(a) VP(2)
(b) 3aQ(x)
(c) P(c)→ Q(c)
(d) Q(c)
(e) P(c)
(f) Ex P(x)
Step (d)
Step (c)
Step (f)
Step (e)
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