KnowraRamsey's theoremLinked fromLinked fromThe 8 pages that link to Ramsey's theorem, each with the reason it gives.All 8Broader topic 1Related 3Narrower topic 1Compared with 3Pigeonhole principleRelated: Pigeonhole-style counting helps establish the existence of repeated patterns in finite structures.Ramsey theoryBroader topic: The infinite version reveals the structural principle behind finite bounds.Schur's theoremRelated: Schur's result is a concrete additive precursor to broader Ramsey theorems.Van der Waerden's theoremCompared with: It shares the color-forced structure theme but centers on homogeneous subsets and subgraphs.Paris–Harrington theoremCompared with: Its infinite conclusion differs from the strengthened theorem’s finite conclusion.Erdős–Szekeres theorem (monotone subsequences)Related: The sequence result is a small, explicit instance of unavoidable order patterns.Erdős–Rado theoremCompared with: It gives an infinite-set conclusion, while Erdős–Rado supplies cardinal thresholds for stronger partition relations.Friends and strangers theoremNarrower topic: The friends-and-strangers statement is its two-color, triangle-sized special case.