We describe the influence of electromagnetism on the phenomenology of K -->
pi pi decays. This is required because the present data were analyzed with
out inclusion of electromagnetic radiative corrections, and hence contain s
everal ambiguities and uncertainties which we describe in detail. Our prese
ntation includes a full description of the infrared effects needed for a ne
w experimental analysis. It also describes the general treatment of final s
tate interaction phases, needed because Watson's theorem is no longer valid
in the presence of electromagnetism. The phase of the isospin-two amplitud
e A(2) may be modified by 50 --> 100%. We provide a tentative analysis usin
g present data in order to illustrate the sensitivity to electromagnetic ef
fects, and also discuss how the standard treatment of epsilon'/epsilon is m
odified.