  The possibility of mass in the context of scale-invariant, generally
covariant theories, is discussed. Scale invariance is considered in the context
of a gravitational theory where the action, in the first order formalism, is of
the form $S = \int L_{1} \Phi d^4x$ + $\int L_{2}\sqrt{-g}d^4x$ where $\Phi$ is
a density built out of degrees of freedom independent of the metric. For global
scale invariance, a "dilaton" $\phi$ has to be introduced, with non-trivial
potentials $V(\phi)$ = $f_{1}e^{\alpha\phi}$ in $L_1$ and $U(\phi)$ =
$f_{2}e^{2\alpha\phi}$ in $L_2$. This leads to non-trivial mass generation and
a potential for $\phi$ which is interesting for inflation. The model after ssb
can be connected to the induced gravity model of Zee, which is a successful
model of inflation. Models of the present universe and a natural transition
from inflation to a slowly accelerated universe at late times are discussed.
