Consider the following argument: If I am vaccinated, then I will not contract measles. If I contract measles then I will die, I am not vaccinated. Therefore, I will die. Define the propositions: I will die. I contract measles. I am vaccinated. d: m: V: (a) Rewrite the argument in symbols. (b) Construct a truth table with a column for each premise and for the conclusion. d m v (c) State whether or not the argument is valid and give the reason why.
Consider the following argument: If I am vaccinated, then I will not contract measles. If I contract measles then I will die, I am not vaccinated. Therefore, I will die. Define the propositions: I will die. I contract measles. I am vaccinated. d: m: V: (a) Rewrite the argument in symbols. (b) Construct a truth table with a column for each premise and for the conclusion. d m v (c) State whether or not the argument is valid and give the reason why.
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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the quetion is below, im finding it hard to undertsand the topic
Transcribed Image Text:Consider the following argument:
If I am vaccinated, then I will not contract measles.
If I contract measles then I will die,
I am not vaccinated.
Therefore, I will die.
Define the propositions:
I will die.
I contract measles.
I am vaccinated.
d:
m:
V:
(a)
Rewrite the argument in symbols.
(b)
Construct a truth table with a column for each premise and for the conclusion.
d m v
(c)
State whether or not the argument is valid and give the reason why.
Expert Solution
Step 1
a. The arguments can be written in symbols as follows:
v → ~m (vaccinated implies no measles) (premise)
m → d (measles implies dies) (premise)
~v (not vaccinated) (premise)
∴ d (therefore die) (conclusion)
Step 2
The following truth tables will help in filling the premises and conclusion truth table:
a → b
| a | b | a → b |
|
T
T F F |
T
F T F |
T
F T T |
a → ~b
| a | b | a → ~b |
|
T
T F F |
T
F T F |
F
T T T |
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