Learn mathematical logic with the free course Mathematics in Python

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The Mathematics in Python course was created by Petar Jolakoski, a professor at Brainster Next College and a junior researcher at the Center for Computer Science and Information Technologies at MANU.

"This course is intended for high school students and all interested parties who have a basic understanding of mathematics learned in high school and all those who want to use Python as a tool to deepen their understanding of mathematical concepts," Petar Jolakoski shared with us.

The fourth part of the course is about Mathematical Logic. The focus in rcs data hong kong part will be on set theory and Boolean algebra. You will start with a brief introduction to set theory and learn the basic binary relationship between elements and sets. You will focus on two basic operations – union and intersection.

Union is an operation that allows us to combine two sets and obtain a new set composed of all the elements that belong to the given sets. With examples and illustrations, you will understand how this operation works and how to apply it in different contexts. Intersection, on the other hand, is an operation that allows us to find the common elements between two sets. You will explore intersection through a simple database example.

In addition to union and intersection, you will also be introduced to other operations in set theory. You will learn about set difference, which allows you to identify elements that belong to one set but not to another. You will also be introduced to symmetric difference, partitive set, complementary set, and cardinality of a set.

To illustrate these operations, you will use Venn diagrams. This graphical representation will help you visualize sets and the operations you perform on them.

In addition to set theory, you will also explore the importance of Boolean algebra as the foundation of modern programming languages. You will learn about the logical operator conjunction, which is related to the intersection of set theory. You will learn how this operator works and how it can be used in various programming situations. In addition, you will learn about the other two logical operators in Boolean algebra – disjunction and negation. You will understand their functions and how they are related to union and complement from set theory. Of particular interest are De Morgan's laws, which allow us to transform conjunction and disjunction expressions from one to the other using Boolean operations and negation. You will learn about these laws and understand their applications and significance in the analysis of logical expressions. To expand your knowledge, you will have the opportunity to follow more examples of De Morgan's laws and apply them to a specific example.