Logic not only play a strong role in mathematics, but also in the real world. We use logic to help program computers, solve math problems, and think more critically. The focus will primarily be on Boolean Logic, which combines multiple statements that are true or false into an expression that is either true or false. We will explore truth tables and other elements of Logic.
In this section, we will explore different aspects of Logic. We will look at definitions of key terms used in Logic. We will also look at examples of using Boolean Logic, which is combining statements that are true or false into an expression that is either true or false. We will also explore how logic can be used in Excel spreadsheets, and various other topics.
In this section, we will explore creating truth tables. Truth tables help to visually see all of the truth values that can be assigned to statements. They are very helpful in logic to see when a complex statement is true and when it is false. I start with videos on how to do the basic steps for simple statements, and then will do more complex examples of creating truth tables.
Truth Table for Conjunction "And" with 2 Statements
Truth Table for Disjunction "Or" with 2 Statements
Truth Table for Implication "If,then" Statements
Create a Truth Table for Two Statements
Truth Table for Implication, Converse, Inverse, and Contrapositive
Create a Truth Table for Three Statements
Determine if Arguments are Valid
In this section, we will explore the validity of an argument. A large part of logic is determining if a conclusion reached is valid or invalid. I will show examples of how to determine if arguments are valid or invalid using Euler circles and truth tables.
Determine if the Argument is Valid with Euler Circles
Determine if a Conclusion is Valid Using a Truth Table - 2 Statements
Determine if a Conclusion is Valid Using a Truth Table - 3 Statements