The Axiomatic System: Definition & Properties


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question 1 of 3

An axiomatic system is a set of what?

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1. Axioms are what?

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

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About This Quiz & Worksheet

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

Additional Learning

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