  Erdos, Hajnal and Rado asked whether
$\binom{\aleph_{\omega_1}}{\aleph_2}\rightarrow\binom{\aleph_{\omega_1}}{\aleph_0}_2$
and whether
$\binom{\aleph_{\omega_1}}{\aleph_2}\rightarrow\binom{\aleph_{\omega_1}}{\aleph_1}_2$.
We prove that both relations are independent over ZFC. We shall also prove that
$\binom{\mu}{\aleph_2}\rightarrow\binom{\mu}{\aleph_2}_2$ is independent over
ZF for some $\mu$ of cofinality $\omega_1$.
