About This Chapter
Logic in Mathematics - Chapter Summary
Go through the chapter's lessons to develop a deeper understanding of mathematical induction. You will get to look at the uses of this type of induction and review some of its proofs.
Moving forward in the chapter, you'll examine the axiomatic system. Explore the properties of this system and see what it looks like by analyzing some examples. Once you have finished reviewing topics from this chapter, you should be able to:
- Define mathematical induction
- Describe the axiomatic system
- Identify the developments and postulates of Euclid's axiomatic geometry
The lessons in this chapter make learning about logic math principles a fun experience. All of the videos are taught by professional instructors who can answer any questions you may have. In order to see what type of math skills and knowledge you possess after finishing this chapter, use the self-assessment quizzes.
1. Mathematical Induction: Uses & Proofs
Watch this video lesson to learn about mathematical induction and how you can use it to prove mathematical statements. See how it is similar to falling dominoes.
2. The Axiomatic System: Definition & Properties
Learn what kinds of things are included in an axiomatic system in this video lesson. Also learn why consistency, independence, and completeness are important in axiomatic systems.
3. Euclid's Axiomatic Geometry: Developments & Postulates
Learn how the way we do proofs in geometry had its start with Euclid in this video lesson. Learn about his contributions to the geometry we know today. Also learn about the five basic truths that he used as a basis for all other teachings.
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Other chapters within the MTTC Professional Readiness Examination (096): Practice & Study Guide course
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- Understanding Algebraic Functions
- Using Algebraic Functions
- Polynomials, Rational Equations & Trigonometric Equations
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- Measuring Geometric Figures
- Relationships Between Figures in Geometry
- Basics of Trigonometry
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- Bivariate Relationships in Statistics
- Using Tables & Graphs
- Interpreting Statistical Data
- Probability Overview
- Introduction to Conditional Probability & Diagrams
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- Strategies for Effective Writing
- Reading Strategies & Literary Analysis
- Critical Reasoning for Test-Taking
- Conventions in Writing: Effective Usage
- Constructing Sentences & Paragraphs
- Argumentative Writing Overview
- Structuring Informational & Explanatory Texts
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