Counterexample

Pronunciation: /ˈkaʊn tər ɪgˌzæm pəl/ ?

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. counterexample. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=counterexample&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Cupillari, Antonella. Nuts and Bolts of Proof: An Introduction to Mathematical Proofs, 3rd edition, pp 45-47. Academic Press. (Accessed: 2010-01-11).

Printed Resources

Cite this article as:


Counterexample. 2010-01-05. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/counterexample.html.

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Revision History


2010-01-05: Added "References" (McAdams, David.)
2008-07-11: Added examples (McAdams, David.)
2008-03-31: Initial version (McAdams, David.)

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