  We show that in Zermelo-Fraenkel Set Theory without the Axiom of Choice a
surjectively modified continuum function $\theta(\kappa)$ can take almost
arbitrary values for all infinite cardinals. This choiceless version of
Easton's Theorem is in sharp contrast to the situation in ZFC, where for
singular cardinals $\kappa$, the value of $2^\kappa$ is strongly influenced by
the behaviour of the continuum function below.
  Our construction can roughly be described as follows: In a ground model $V
\models ZFC + GCH$ with a "reasonable" function $F: Card \rightarrow Card$ on
the infinite cardinals, a class forcing ${\mathbb P}$ is introduced, which
blows up the power sets of all cardinals according to $F$ . The eventual model
$N \models ZF$ is a symmetric extension by ${\mathbb P}$ such that
$\theta^N(\kappa) = F(\kappa)$ holds for all $\kappa$.
