Pronunciation: /kənˈsɪs.tənt/ Explain
  1. A system of equations is consistent if the system has at least one common solution.[2] If a system of equations has no solutions, it is called inconsistent.
  2. An axiomatic sytem is consistent if all the propositions in the set are consistent; if there is no possible proof of both a proposition (P) and its negation (not P).[3]


  1. McAdams, David E.. All Math Words Dictionary, consistent. 2nd Classroom edition 20150108-4799968. pg 44. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. Kornegay, Chris. Systems of Linear Equations. 2nd edition. pg 456-459. Math Dictionary With Solutions: A Math Review. Sage Publications, Inc. March 6, 1999. Last Accessed 6/25/2018. Buy the book
  3. Catherine Cavagnaro (Editor), William T. Haight II (Editor). consistent axioms. pg 27. Dictionary of Classical and Theoretical Mathematics. CRC Press. February 26, 2001. Last Accessed 6/25/2018. Buy the book

Cite this article as:

McAdams, David E. Consistent. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/20/2010: Added "References". (McAdams, David E.)
1/5/2010: Added "References". (McAdams, David E.)
4/29/2008: Initial version. (McAdams, David E.)

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