A playful and thought-provoking piece that delves into the intriguing world of mathematics. The author discusses the bunkbed conjecture, which has perplexed probabilists for decades. Despite the seemingly obvious nature of the conjecture, a counterexample is presented by the author and their team, ultimately proving the conjecture false. The narrative also touches on the implications of Monte Carlo testing and the societal considerations surrounding mathematical certainty. The author advocates for transparency in sharing both successes and failures in mathematical research. A surprising twist at the end leaves readers pondering the intersection of probabilistic and deterministic approaches in mathematics.
https://igorpak.wordpress.com/2024/10/01/the-bunkbed-conjecture-is-false/