Numerical simulations!!! P W Anderson as quoted here (via ZapperZ):
Very few believed [localization] at the time, and even fewer saw its importance; among those who failed to fully understand it at first was certainly its author. It has yet to receive adequate mathematical treatment, and one has to resort to the indignity of numerical simulations to settle even the simplest questions about it.
—Philip W. Anderson, Nobel lecture, 8 December 1977