How to use a single counter example to dismantle a mathematical statement
In short: In mathematics, you don't need an exhaustive list to prove a rule wrong. This video demonstrates the power of the counter example, showing how one solitary exception can invalidate a universal claim.
The video explores the fundamental logic of disproving mathematical assertions. It walks through specific cases, such as testing the claim that all prime numbers are odd, examining the differences between primes, and investigating the final digits of square numbers. These examples serve to illustrate how a single contradictory instance is sufficient to disprove a general statement.
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Sources
- Summary by Intellect · source: GCSE Maths - How to Disprove a Statement by Counter Example - Proof Part 1 (2026/27 exams)
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