After 80 Years, Mathematicians Give Famed ‘Erdős Method’ an Upgrade

In 1947, Paul Erdős introduced a groundbreaking math technique called the probabilistic method, which proves something exists by showing a random selection is likely to have certain properties — without ever building it directly. For 80 years, this method remained largely unchanged. Mathematicians have now upgraded it, making the tool significantly more powerful and expanding its ability to solve problems previously out of reach.