# counterexample

an example that refutes an assertion or claim.

## Origin of counterexample

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## Words Nearby counterexample

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use counterexample in a sentence

He thought the five-cycle case, in particular, would be the

*counterexample*demonstrating that very point.New Proof Reveals That Graphs With No Pentagons Are Fundamentally Different | Steve Nadis | April 26, 2021 | Quanta MagazineMathematicians often find minimal counterexamples easier to work with because they can focus on those parts of the graph that are relevant to the problem at hand and temporarily ignore the rest.

New Proof Reveals That Graphs With No Pentagons Are Fundamentally Different | Steve Nadis | April 26, 2021 | Quanta MagazineGardam’s discovery of a

*counterexample*to the unit conjecture is oddly reassuring, Kropholler said, because it suggests that this hard work was really needed.Mathematician Disproves 80-Year-Old Algebra Conjecture | Erica Klarreich | April 12, 2021 | Quanta MagazineSo one immediate question is whether there are counterexamples to be found using other number systems such as the real or complex numbers.

Mathematician Disproves 80-Year-Old Algebra Conjecture | Erica Klarreich | April 12, 2021 | Quanta MagazineFor Gardam, his discovery is the culmination of years spent hunting for intriguing counterexamples in algebra.

Mathematician Disproves 80-Year-Old Algebra Conjecture | Erica Klarreich | April 12, 2021 | Quanta Magazine

## British Dictionary definitions for counterexample

/ (ˈkaʊntərɪɡˌzɑːmpəl) /

an example or fact that is inconsistent with a hypothesis and may be used in argument against it

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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