Answered: xamine the following argument: 1. ∀z…

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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