The low energy effective Lagrangian for N = 2 supersymmetric Yang-Mill
s theory, proposed by Seiberg and Witten is shown to be the unique sol
ution, assuming only that supersymmetry is unbroken and that the numbe
r of strong-coupling singularities is finite. Duality is then a conseq
uence rather than an input. (C) 1997 Elsevier Science B.V.