2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105767We present a brief description of the ``consistent discretization'' approach to classical and quantum general relativity. We exhibit a classical simple example to illustrate the approach and summarize current classical and quantum applications. We also discuss the implications for the construction of a well defined quantum theory and in particular how to construct a quantum continuum limit.17 Pages, Draft chapter contributed to the book "Approaches to quantum gravity", being prepared by Daniele Oriti for Cambridge University PressGeneral Relativity and Quantum Cosmologytext