  Assuming the existence of a Mahlo cardinal, we produce a generic extension of
G\"{o}del's constructible universe $L$, in which the transfer principles
$(\aleph_2, \aleph_0) \to (\aleph_3, \aleph_1)$ and $(\aleph_3, \aleph_1) \to
(\aleph_2, \aleph_0)$ fail simultaneously. The result answers a question of
Silver from 1971. We also extend our result to higher gaps.
