We conjecture that there exists a scalar bound state for every pair of fundamental fermions at a UV ("composite") scale, Λ≫vweak. This implies a large number of universally coupled, subcritical Higgs doublets. All but the standard model Higgs are "dormant," with large positive squared masses, and each receives a small vacuum expectation value via mixing with the standard model Higgs. Universal couplings, modulo renormalization group running effects, flip the flavor problem into the masses and mixings of the Higgs system. Doublets associated with heavy fermion masses, b, c, τ, likely lie in the multi-tera electron volt range but may be observable at the current LHC, or a high-luminosity and/or an energy-upgraded LHC. In the lepton sector, we are led to a Higgs seesaw for neutrino masses and corollary processes of observable flavor violation. The observation of the first sequential doublet coupled to bb with mass less than 3.5 TeV would lend credence to the hypothesis.