Identifying Arithmetic Counterexamples

In mathematics, a universal claim is an absolute promise. To state that "all numbers behave a certain way" or "every mathematical operation yields a specific result" is to forge an ironclad contract covering infinitely many possibilities. If that contract is violated even a single time, the entire mathematical statement shatters. You do not need to check an infinite number of cases to disprove a universal law; you only need to find the one anomaly that refuses to conform.