Almost Ramsey cardinal
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In mathematics, an almost Ramsey cardinal is a certain kind of large cardinal number.
Formally, a cardinal κ is called almost Ramsey iff for every function f: κ < ω → {0, 1} (with κ < ω denoting the set of all finite subsets of κ) and for every λ < κ, there is a set of order type λ that is homogeneous for f.