counterexample

A counterexample may be local or global in an argument.

So in any counterexample, at least one of the variables must be greater than 1000.

This will make the counterexample look valid, even though it is not.

My father had told me so once, in memorable circumstances, and I'd never seen a counterexample.

He's probably the counterexample to the theory that nobody learns anything.

In that case, Diogenes would have found it much more difficult to find a counterexample.

Yet, here in front of her lay a counterexample.

Then we see if there is any way that it can be weakened without becoming subject to a counterexample.

A number of numerical attempts have been made to solve the counterexample.

Yet the choice of "regrettably" above as a counterexample points out an additional problem.

Now, by dreadful counterexample, he knew how lucky he'd been to enjoy them.

Man: If he already has a troublesome generalization, you could give him a counterexample.

Then there must be a smallest solution or example - a minimal counterexample.

However, they are not necessarily 2-vertex-connected; the friendship graphs provide a counterexample.

The converse is not true, with this article constructing a counterexample.

Thus, any hard-working student is a counterexample to "all students are lazy".

It is not even known if a single counterexample would necessarily lead to a series of counterexamples.

Raven stories on one level teach listeners how to live a good life, but usually by counterexample.

A corrective is clearly called for in the form of an illustrative counterexample.

If correct, this would provide a counterexample to the cosmic censorship hypothesis.

Nor is Elmer's case unusual in providing this kind of counterexample.

Another type of counterexample has A compact and B open.

Of course, now the first philosopher can argue that the alleged counterexample does not really apply.

Before getting into the many reasons freedom is doomed in Iraq, consider a cheery counterexample.

Consider the most striking counterexample, from the Depression years of the early 1930's.