Talk:Weakly compact cardinal

Open question
Is it true, that for every function \(f: [\aleph_0]^2 \mapsto \{0, 1\}\), there is a set \(S \subseteq \aleph_0\) such that \(|S| = \aleph_0\) and \(f\) maps every member of \([S]^2\) to either all 0 or all 1? --84.61.176.82 10:16, December 1, 2013 (UTC)