👉 Defensive math is a strategic approach used in competitive mathematics to anticipate and counter potential moves by opponents, particularly in problems involving logic puzzles, combinatorics, or game theory. It involves analyzing the problem from multiple angles to identify possible counter-strategies, ensuring that one can always respond effectively to any move made by the opponent. This proactive method helps in maintaining a strong position, often by forcing the opponent into less advantageous situations or by setting up scenarios that lead to a desired outcome. By incorporating defensive strategies, mathematicians can not only solve problems but also demonstrate their robustness and adaptability in complex, dynamic environments.
