# The Axiomatic System: Definition & Properties

Instructions:

question 1 of 3

### An axiomatic system is a set of what?

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### 2. A consistent axiomatic system does not do what to itself?

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Use this quiz/worksheet combo to help you test your understanding of the properties of axiomatic systems. Topics you'll be assessed on include the term axiom defined as well as identifying a significant property of axiomatic systems.

## Quiz & Worksheet Goals

The assessments will check your comprehension of:

• The makeup of the axiomatic system
• The definition of axioms
• A significant property of axiomatic systems
• The condition in which an axiom can be proved by the other axioms in a system
• A system that can prove or disprove any statement

## Skills Practiced

Use this quiz and worksheet to test the following skills:

• Reading comprehension - ensure that you draw the most important information from the related lesson on axiomatic system properties
• Information recall - access the knowledge you've gained regarding the condition in which an axiom can be proved by the other axioms in a system
• Knowledge application - use your knowledge to answer a question about a system that can prove or disprove any statement

Use our lesson named The Axiomatic System: Definition & Properties to further explore this subject. This lesson covers the following objectives:

• Define the term axiomatic system
• Describe what an axiom is and identify examples
• Know three properties of axiomatic systems
• Compare and contrast consistent and complete systems
• Relate an axiomatic system to Euclidean geometry
Final Exam
Chapter Exam

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