  We show that the ghost-free models of massive gravity and their
multi-graviton extensions follow from considering higher dimensional General
Relativity in Einstein-Cartan form on a discrete extra dimension, according to
the Dimensional Deconstruction paradigm. We show that Dimensional
Deconstruction is equivalent to a truncation of the Kaluza-Klein tower at the
nonlinear level. Higher dimensional gravity is not recovered from a lower
dimensional multi-graviton theory in the limit of a continuous extra dimension
(infinite Kaluza-Klein tower) due to the appearance of a low strong coupling
scale that depends on IR physics. This strong coupling scale, which is
associated with the mass of the lowest Kaluza-Klein mode, controls the onset of
the Vainshtein mechanism and is crucial to the theoretical and observational
viability of the truncated theory.
