The theory of ferromagnetism, as it is usually formulated, suffers from certain inconsistencies, especially as regards the definition of spontaneous magnetization. In this paper the situation is discussed from an elementary point of view, that is, considering only the statistical aspect of the problem, and omitting the more fundamental physical treatment of the molecular fields. It is intended to show as simply as possible, first, the origin of some of the undesired results of the Weiss Equation; second, the type of solution which a correct theory would probably give for perfect crystals; and third, to give a derivation of equations similar to the Weiss Equation, but from which it becomes apparent without further assumptions that the results cannot be applied indiscriminately to the whole magnetization curve. Finally an attempt is made to correlate the predictions of the theory with experimental data on the magnetization of actual crystals. Fundamental to any discussion of ferromagnetism is the idea of spontaneous magnetization of Weiss, mathematically expressed in his famous equation, now slightly modified by the introduction of spacial quantization. Based on this we have the work of Akulov and Becker showing how various properties of crystals and elastically distorted materials may be described in terms of a few empirical constants, the number of these constants being limited by the structural symmetry of the material. Almost aII the applications of Weiss's spontaneous magnetization to actual problems require the assumption that the material is not spontaneously magnetized in its entirety, but that only small regions are so magnetized, the resultant observed magnetization being determined by the distribution of the direction of magnetization of these regions. This assumption, however, is a flat contradiction of Weiss's Equation, which states that spontaneous magnetization exists irrespective of the size of the sample under consideration. In spite of the very considerable progress that has been made in recent years in our understanding of ferromagnetic phenomena the situation is not altogether satisfactory, primarily because these regions of spontaneous magnetization are introduced into a theory which specifically denies their existence.