xamine the following argument: 1. ∀z (T(z) ∨ R(z)) Premises 2. T(g) ∨ R(g) Universal instantiation from (1) 3. T(g) Simplification from (2) 4. ∀z T (z) Universal generalization from (3) 5. R(g) Simplification from (2) 6. ∀z R(z) Universal generalization from (5) 7. ∀z (T(z) ∨ ∀z R(z)) Conjunction from (4) and (6) The above argument shows that if ∀z(T(z)∨R(z)) is true then ∀z T (z) ∨ ∀z R(z) is true. Is this argument correct? Why or Why not? If it is incorrect, identify the error or errors.
xamine the following argument: 1. ∀z (T(z) ∨ R(z)) Premises 2. T(g) ∨ R(g) Universal instantiation from (1) 3. T(g) Simplification from (2) 4. ∀z T (z) Universal generalization from (3) 5. R(g) Simplification from (2) 6. ∀z R(z) Universal generalization from (5) 7. ∀z (T(z) ∨ ∀z R(z)) Conjunction from (4) and (6) The above argument shows that if ∀z(T(z)∨R(z)) is true then ∀z T (z) ∨ ∀z R(z) is true. Is this argument correct? Why or Why not? If it is incorrect, identify the error or errors.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Examine the following argument:
1. ∀z (T(z) ∨ R(z)) Premises
2. T(g) ∨ R(g) Universal instantiation from (1)
3. T(g) Simplification from (2)
4. ∀z T (z) Universal generalization from (3)
5. R(g) Simplification from (2)
6. ∀z R(z) Universal generalization from (5)
7. ∀z (T(z) ∨ ∀z R(z)) Conjunction from (4) and (6)
The above argument shows that if ∀z(T(z)∨R(z)) is true then ∀z T (z) ∨ ∀z R(z) is true. Is this argument correct? Why or Why not? If it is incorrect, identify the error or errors.
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