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The title and abstract read: Divergence of Perturbation Theory in Quantum Electrodynamics F. J. Dysox Laboratory of Nuclear Studies, Cornell Unisersity, Ithaca, New York (Received November 5, 1951) An argument is presented which leads tentatively to the conclusion that all the power-series expansions currently in use in quantum electrodynamics are divergent alter the renormalization of mass and charge The divergence in no way restricts the accuracy of practical calculations that can be made with the theory, but raises important questions of principle concerning the nature of the physical concepts upon which the theory is built.