This is an announcement for the paper “A "quantum" Ramsey theorem for operator systems” by Nik Weaver. Abstract: Let V be a linear subspace of $M_n(C)$ which contains the identity matrix and is stable under the formation of Hermitian adjoints. We prove that if n is sufficiently large then there exists a rank k orthogonal projection P such that dim$(PVP) = 1$ or $k^2$. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1601.01259