Part A These following predicates, objects, and relations are for question 1, 2, and 3: P(x) N(x) O(x) M(x) C(x) S(x,y) :x is a doctor :x is a nurse :x has a private practice :x is famous :x has a cleaning service :x is y by profession : Sa'ad :Ahmad : Imron : professional nurse :professional doctor 1. Translate this following English sentence into predicate logic formula: Because Sa'ad is a doctor but does not have a private practice, he is not famous.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Part A
These following predicates, objects, and relations are for question 1, 2, and 3:
:x is a doctor
:x is a nurse
:x has a private practice
P(x)
N(x)
O(x)
M(x)
C(x)
S(x,y)
:x is famous
:x has a cleaning service
:x is y by profession
: Sa'ad
: Ahmad
: Imron
i
: professional nurse
: professional doctor
1. Translate this following English sentence into predicate logic formula:
Because Sa'ad is a doctor but does not have a private practice,
he is not famous.
Transcribed Image Text:Part A These following predicates, objects, and relations are for question 1, 2, and 3: :x is a doctor :x is a nurse :x has a private practice P(x) N(x) O(x) M(x) C(x) S(x,y) :x is famous :x has a cleaning service :x is y by profession : Sa'ad : Ahmad : Imron i : professional nurse : professional doctor 1. Translate this following English sentence into predicate logic formula: Because Sa'ad is a doctor but does not have a private practice, he is not famous.
Expert Solution
Step 1

Given that

s         :  Sa'ad
P(x)     :  x is a doctor
O(x)    :  x has a private practice
M(x)    :  x is famous

Given English statement

Because Sa'ad is a doctor but not have a private practice, he is not famous.

The logic symbol for because is ∵

The given statement is intersection of three statements so we use and operator "∧"

The negation symbol "¬" is used to denote opposite of given statements O(x) and M(x).

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