# 10 Examples of Mathematical Logic

Examples of Mathematical Logic.Mathematical logic is a branch of science mathematics used to prove a truth. This material aims to draw conclusions that are not only based on natural logic, but also scientific logic.Sri Kurnianingsih in the book Mathematics: -Volume 1 B explains that mathematical logic consists of open sentences, negations or denials, and compound statements.

## Examples of Mathematical Logic.

ExampleThe following mathematical logic questions and discussions are quoted from the book Top Pocket No. 1 High School Mathematics Class X, XI, & XII published by Wahyu Media.
Example question 1:
The negation of the statement: “If all high school students obey discipline then Roy is an exemplary student” is…
Discussion:
p = all high school students comply with school discipline
q = Roy is an exemplary student
so
~ (p -q) = (~ pvq) = (p^~q)
Or:
All high school students adhere to the school’s discipline and Roy is not a model student.
Example question 2:
Disclaimer of statement: all students and teachers of Islamic schools in my city covering their genitals are…
Discussion:
p = Islamic school students in my city cover their genitals.
q = Islamic school teachers in my city cover their genitals.
Mathematically it can be represented (p^q)
Then it can be formulated:
~Ɏ(p ^q) = Ǝ(~pv~q)
So the disclaimer is “there are Islamic school students or teachers in my city who do not cover their genitals”.
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