counterexample|counterexamples in English

noun

example that refutes a theory or claim; example used to prove that a statement is false

Use "counterexample|counterexamples" in a sentence

Below are sample sentences containing the word "counterexample|counterexamples" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "counterexample|counterexamples", or refer to the context using the word "counterexample|counterexamples" in the English Dictionary.

1. Make Conjectures and provide counterexamples

2. Is software a counterexample?

3. It's not really a counterexample to the personality theory.

4. Finally, a counterexample is presented to illustrate the conclusion.

5. Sometimes the best way to illustrate how to do something is by counterexample.

6. This is the counterexample set of the two arguments I gave you.

7. The Ax–Grothendieck theorem for complex numbers can therefore be proven by showing that a counterexample over C would translate into a counterexample in some algebraic extension of a finite field.

8. In 1988, he found a counterexample to Euler's sum of powers conjecture for fourth powers.

9. As a counterexample, Brown mentions a project using three persistence solutions: Spring, EJB and Hibernate.

10. Next, a waveform derived from the counterexample is generated, and the user debugs the failure.

11. 14 Indeed it is its very innateness, given sufficient divergence between different languages, that make such counterexamples seem possible.

12. One of its results, that not every topological algebra is localizable, has become a "well-known counterexample".

13. Now noticed if that's the way we interpret his argument, harmony works no longer as a counterexample.

14. In a sense this program is a counterexample, in that it is never useful as a filter.

15. The paper advances analogism , a conception in several formals, counterexample by converse analysis, geometry models and diagrams in mathematics teaching.

16. By a counterexample, it is illustrated that a valuation on a module need not be prolongable on an extension module.

17. So the crucial point right now is that, thinking about harmony is offered as a counterexample to the generalization that invisible things can't be destroyed.

18. The ideal convexity of functionals is introduced and studied in this paper, four relation theorems between convexity and ideal convexity and an important counterexample are obtained.

19. Then, after the introduction and analysis of algorithm ASRAI we show a counterexample of this algorithm and present a revised algorithm CHEN1 to eliminate the disadvantage of algorithm ASRAI.

20. So if we understand the argument in terms of the second interpretation, it looks as invisible. It looks all the argument still go through, Simmias' counterexample fails.

21. Socrates never says Simmias, here's what your objection goes wrong: harmony is not really invisible or can't be destroyed, whatever it is, so we don't have a counterexample.

22. If he could show us, he could convince us that harmony is not really invisible, then we would no longer have a counterexample to the claim that the invisible can't be destroyed.

23. Okay I gave you another test. That was one test of validity and another test I gave you was in the argument is valid if and only is it's counterexample set is inconsistent.