Ch 6: Overview of Logic in Math

About This Chapter

Improve your ability to earn course credit or excel on a future test by utilizing this chapter's fun lessons, short quizzes and practice exam. These study resources are available 24/7 in a secure online environment and can quickly and effectively strengthen your knowledge of logic in math.

Overview of Logic in Math - Chapter Summary

This self-paced chapter lets you build a comprehensive understanding of logic in math without setting foot in a traditional classroom. Enjoy online access to fun lessons that cover logical math connectors, truth tables and more. Our self-assessment quizzes and practice exam can help you determine how well you understand these topics. If you need additional information about concepts covered in the lessons, be sure to send questions to our subject-matter experts. Once you've completed this chapter, you will be ready to:

  • Identify conjunction and disjunctions and describe connectors used with each
  • Define and provide examples of biconditional statements in geometry
  • Share the rules associated with truth tables
  • Describe conditional statements in math and differentiate between what's true in reality and logically true
  • Discuss the rules, properties and theorems of Boolean algebra
  • Explain graphs that are Eulerian or semi-Eulerian

6 Lessons in Chapter 6: Overview of Logic in Math
Test your knowledge with a 30-question chapter practice test
Logical Math Connectors: Conjunctions and Disjunctions

1. Logical Math Connectors: Conjunctions and Disjunctions

Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.

Biconditional Statement in Geometry: Definition & Examples

2. Biconditional Statement in Geometry: Definition & Examples

In this lesson, you'll learn how to define and recognize a biconditional statement. We'll review conditional statements and their converses and look at examples of each. We'll also discuss the criteria for writing biconditional statements.

Truth Table: Definition, Rules & Examples

3. Truth Table: Definition, Rules & Examples

Learn what truth tables are and what they are used for in logic. Discover the basic rules behind constructing truth tables and explore the concepts of negation, conjunction, disjunction, and implication.

Conditional Statements in Math

4. Conditional Statements in Math

Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.

Boolean Algebra: Rules, Theorems, Properties & Examples

5. Boolean Algebra: Rules, Theorems, Properties & Examples

In this lesson you will discover and use the rules of Boolean algebra to simplify Boolean expressions (statements that are either True or False). The Rules of Boolean algebra are given in a table, and a few examples show how to use them.

Euler Paths and Euler's Circuits

6. Euler Paths and Euler's Circuits

Watch this video lesson, and you will see how you can turn a math problem into a challenging brain game. Learn what it means for a graph to be Eulerian or semi-Eulerian.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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