  We provide a systematic framework for theories of multiple axions. We
discover a novel type of "alignment" that renders even very complex theories
analytically tractable. Theories with about 100 axions and random parameters
have an exponential number of meta-stable vacua and accommodate a diverse range
of inflationary observables. Very light fields can serve as dark matter with
the correct abundance. Tunneling from a minimum with large vacuum energy can
occur via a thin-wall instanton and be followed by a sufficient period of
slow-roll inflation that ends in a vacuum containing axion dark matter and a
cosmological constant with a value consistent with observation. Hence, this
model can reproduce many macroscopic features of our universe without tuned
parameters.
