Contradictions, exceptions, and counterexamples

A claim can fail because it conflicts with another accepted claim, because a real case disproves it, or because its wording is broader than its evidence. These are related problems, but they require different responses.

Learning to distinguish them helps us challenge an argument precisely. We may need to reject a statement, clarify what it means, or replace an absolute claim with a qualified one. A useful criticism should show what is wrong and how far the problem reaches.