Pattern machines in logical order: Why the "victories" of the Artificial Intelligence Olympiad must reshape, not replace, reasoning

In July 2025, Google DeepMind reported that the Gemini "Deep Think" system solved five of the six problems of the International Mathematical Olympiad for 35/42 points - gold medal level from the competition's scoring rubric. This is not just a feat of technology. It is a testament to the potential of artificial intelligence to inspire admiration and curiosity, sparking new ideas and approaches in education.