The muon anomalous magnetic moment - significance of the new measurement

Theoretical calculations of the hadronic contribution to the muon anomalous magnetic moment utilize experimental data from e+e- annihilation and tau decay. The data provide input to a dispersion relation. I contend that it is not possible to put error bounds on the dispersion-relation calculation absent proof--not presently available--that the amplitudes in question are polynomially bounded. Examples are provided.