Pedro Balodis Matesanz A proof of Scott correction for Matter. (579K, Postcript) ABSTRACT. In this paper is given a strenghtening of {\it Stability of Matter}, which in particular shows that Thomas-Fermi theory; which is already known to give the leading order contribution to the energy of Matter, if supplemented with the so-called {\it Scott correction} is correct uniformly in the number of nuclei. New more precise estimates of the volume of Matter also follows.