So far this year, Quanta has chronicled three major advances in Ramsey theory, the study of how to avoid creating mathematical patterns. The first result put a new cap on how big a set of integers can be without containing three evenly spaced numbers, like {2, 4, 6} or {21, 31, 41}. The second and third similarly put new bounds on the size of networks without clusters of points that are either all...
![The Lawlessness of Large Numbers The Lawlessness of Large Numbers](https://search.ai.wiki/wp-content/uploads/2023/07/the-lawlessness-of-large-numbers.png)