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

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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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.

 

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