  We prove that in a closed Riemannian manifold with dimension between $3$ and
$7$, either there are minimal hypersurfaces with arbitrarily large area, or
there exist uncountably many stable minimal hypersurfaces. Moreover, the latter
case has a very pathological Cantor set structure which does not show up in
certain manifolds. Among the applications, we prove that there exist minimal
hypersurfaces with arbitrarily large area in analytic manifolds. In the proof,
we use the Almgren-Pitts min-max theory proposed by Marques-Neves, the ideas
developed by Song in his proof of Yau's conjecture, and the resolution of the
generic multiplicity-one conjecture by Zhou.
