Other examples: - The "Italian school of algebraic geometry" of the 19th century used intuitive methods that, while groundbreaking, ultimately proved to be unr

Other examples: - The "Italian school of algebraic geometry" of the 19th century used intuitive methods that, while groundbreaking, ultimately proved to be unreliable and generated many false results. https://en.m.wikipedia.org/wiki/Italian_school_of_algebraic_geometry https://en.m.wikipedia.org/wiki/Italian_school_of_algebraic_... - Mochizuki's abc "proof", which seems to be believed a proof by many of his Japanese colleagues, but fatally flawed by most everyone else. https://www.math.columbia.edu/~woit/wordpress/?p=12220 https://www.math.columbia.edu/~woit/wordpress/?p=12220 Mathematicians have definitely gotten out ahead of their skis in the past, but I have the impression that the community today is incredibly good at finding flaws in flawed work and making solid work fully explicit and rigorous. It can take years or decades though.