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More than half a century after the Chapel Hill meeting of 1957, the landscape of general relativity has been transformed. In relativistic cosmology we are entering an era in which we can seriously consider testing some of the most fundamental assumptions that go into our view of the Universe. We propose that precision tests of gravity on cosmological scales may be feasible with up-and-coming surveys of galaxies. To achieve the most accurate general constraints yet we briefly describe a formalism which is applicable on the largest scales: the parametrized post-Friedmann approach. We sketch out the steps that need to be taken to link realistic, cosmological observables with fundamental properties of general relativity. [ABSTRACT FROM AUTHOR]