Counterexample

Pronunciation: /ˈkaʊn tər ɪgˌzæm pəl/ Explain

A counterexample disproves or refutes a claim or theorem.[1]

Examples of Counterexamples
ClaimCounterexample
All students are male.There exists at least one female student.
Apples are red.Granny Smith apples are green.
Books are heavy.There exists at least one book that is not heavy.

References

  1. Cupillari, Antonella. Nuts and Bolts of Proof: An Introduction to Mathematical Proofs. 4rd edition. Academic Press. Last Accessed 8/6/2018. Buy the book

Cite this article as:

McAdams, David E. Counterexample. 6/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/counterexample.html.

Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/5/2010: Added "References". (McAdams, David E.)
7/11/2008: Added examples. (McAdams, David E.)
3/31/2008: Initial version. (McAdams, David E.)

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