  We discuss models involving two scalar fields coupled to classical gravity
that satisfy the general criteria: (i) the theory has no mass input parameters,
(ii) classical scale symmetry is broken only through $-\frac{1}{12}\varsigma
\phi^2 R$ couplings where $\varsigma$ departs from the special conformal value
of $1$; (iii) the Planck mass is dynamically generated by the vacuum
expectations values (VEVs) of the scalars (iv) there is a stage of viable
inflation associated with slow roll in the two--scalar potential; (v) the final
vacuum has a small to vanishing cosmological constant and an hierarchically
small ratio of the VEVs and the ratio of the scalar masses to the Planck scale.
This assumes the paradigm of classical scale symmetry as a custodial symmetry
of large hierarchies.
