Examples of 'counterexample' in a sentence

Meaning of "counterexample"

counterexample (noun): A specific instance that contradicts a proposed general principle or hypothesis, used in various domains such as mathematics, logic, and philosophy to test the validity of arguments
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  • An example that counters a general rule; an exception to a general rule; a specific instance of the falsity of (and falsifiability of) any proposed universal applicability of a rule or statement.

How to use "counterexample" in a sentence

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counterexample
This program halts only if it finds a counterexample.
No counterexample has been found to the conjecture.
Justify the answer with a proof or a counterexample.
It serves as a counterexample in illuminating many situations.
Yet this article you read is a counterexample.
Recently an explicit counterexample has been proposed in.
So it then makes sense to look for a counterexample.
Synthesis of a counterexample in the case of inconsistencies.
Which value of x serves as a counterexample to prove.
A counterexample is an example that shows that a statement is false.
Either prove it is true or find a counterexample if it is false.
A counterexample is an example that disproves a theory.
The final one is a simple counterexample.
There is no counterexample to the principle of causality.
It is sufficient for me to give a single counterexample to refute you.

See also

A typical counterexample goes like this.
Do you think they will pay up for a counterexample.
A ring species is a species with a counterexample to the transitivity of interbreeding.
A counterexample is simply an example that runs counter to a universal claim.
There can be no counterexample to them.
Something such as this which disproves a conjecture is called a counterexample.
I present a counterexample to this view.
Chemical weapons is offered as a counterexample.
The counterexample is not one.
Here you have a counterexample.
No counterexample seems to exist.
I dare you to find a counterexample.
We provide a counterexample to this conjecture.
I will try to give a counterexample.
A counterexample is easy to find.
It is then easy to find a counterexample.
A counterexample comes to mind.
It can only be proved by a counterexample.
No counterexample has been found.
Let us explore such a counterexample.
The counterexample lies at the intersection of control theory and information theory.
I am pretty sure that for general domains there are counterexample.
You would only need one counterexample to disprove the assertion.
The obvious way to disprove an impossibility conjecture by providing a single counterexample.
Ireland is the counterexample.
Counterexample analysis for automated refinement of data abstracted state machine models.
This case was a good counterexample.
As a counterexample take any neighbourhood of the particular point of an infinite particular point space.
Trying to find the counterexample.
A counterexample shows that we cannot dismiss the multiplicative constant that appears in the upper bound.
So this is definitely a counterexample.
It is not even known if a single counterexample would necessarily lead to a series of counterexamples.
You can prove that a conjecture is false by finding one counterexample.
There is no counterexample.
The attempt to rebut an argument may involve generating a counterargument or finding a counterexample.

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