I suppose there must be plenty of counterexamples to such a sweeping statement, but none occur to me offhand. |
That is, it is necessary to check whether a run is Zeno so as to avoid presenting Zeno runs as counterexamples. |
The discussion in these chapters presents a superb treatise on the use of examples and counterexamples to support points of view. |
On the web, there are pages on counterexamples in functional analysis, Clifford algebras, and mathematical programming. |
And more counterexamples are coming in over the transom all the time. |
In Proofs and Refutations, Lakatos gave several basic rules for finding proofs and counterexamples to conjectures. |