The form of the argument is: vx (P(x) → (Q(x) v R(x))) -R(John) John is a particular element P(John) .: 3x Q(x) Select the definitions for predicates P, Q, and R. P(x): Pick Q(x): Pick

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 20E: Give counterexamples for the following statements. If and are irrational, then is irrational. If ...
icon
Related questions
Question
An argument is expressed in English below. The domain is the set of students enrolled in a course.
Every student who passed the test studied hard or stayed up late (or both).
John did not stay up late.
John is a student enrolled in the course.
John passed the test.
.. There is a student who studied hard.
The form of the argument is:
vx (P(x) → (Q(x) v R(x)))
-R(John)
John is a particular element
P(John)
.: 3x Q(x)
Select the definitions for predicates P, Q, and R.
P(x): Pick
Q(x): Pick
R(x): Pick
Transcribed Image Text:An argument is expressed in English below. The domain is the set of students enrolled in a course. Every student who passed the test studied hard or stayed up late (or both). John did not stay up late. John is a student enrolled in the course. John passed the test. .. There is a student who studied hard. The form of the argument is: vx (P(x) → (Q(x) v R(x))) -R(John) John is a particular element P(John) .: 3x Q(x) Select the definitions for predicates P, Q, and R. P(x): Pick Q(x): Pick R(x): Pick
Expert Solution
Step 1

In this question, the concept of argument is applied.

Argument in Premises

Every argument having true premises and a wrong conclusion is, by definition, invalid. When the premises are true, invalidity is not any assurance of a real conclusion. In an invalid argument, true premises can result in either a real or false conclusion. providing all of the premises are true can a sound argument have an accurate conclusion. As a result, a sound argument can have a false conclusion if a minimum of one in every one of the premises is inaccurate. There cannot be all true premises and a false conclusion in a very valid argument. As a result, a legitimate argument cannot have all true premises if it's a false conclusion. As a result, a minimum of one in every one of the premises must be erroneous.

 

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill