The growth of the purely English population, not complicated by any foreign elements accompanied, as it has been, with a steady increase of national prosperity is enough to supply instructive material to the philosophical enquirer into the facts and figures of English progress during the Victorian epoch. Before looking into these by the light of the once accepted theory of population it will be as well clearly to state what these doctrines are, as well as to summarize the criticisms to which, on the face of them, they are open. The doctrine of Malthus was first put forward by him at the end of the last century. During the first years of the present, while the reverend philosopher was professor of history and political economy at Haileybury, few subjects excited so much interest or controversy among writers on political philosophy or comparative statistics. The doctrine, as it was originally propounded by its author, is that population tends to increase in geometrical ratio, that subsistence only increases in numerical ratio. It followed, therefore, that unless the population be periodically thinned by the external influences of pestilence or war, the poorest classes chronically must be at starvation point, and that unless the multiplication of the race be checked by prudential restraints, within a given time the point will be reached at which the population on this planet is altogether in excess of the means for its support. On the threshold of the discussion which this proposition elicited, the obvious remark was that it asserted not an actuality but a possibility. Hence, unless, instead of a tendency, a proved experience could be asserted; unless, in other words, in the place of a tendency to increase existing, a historical increase could be established, the commentators on Malthus maintained that the danger which he foresaw was too remote to be reckoned with. The following is the line taken by the critics of the Malthusian theory. It was declared to rest upon a series of hypotheses which as a matter of fact were never fulfilled. Granted that if the progression foreseen by Malthus took place, the calamity apprehended must ensue; it was maintained, as a matter of fact, that the abundant safeguards existing in practice were ignored by the alarmist _doctrinaires_. Supposing each marriageable pair upon the earth to marry first, and to produce afterwards as many children as a normally healthy couple may expect, not only subsistence, but standing room in this world would fail them. Experience, however, shows the fulfilment of any such forecast to be a moral impossibility. In daily practice there are apart from difficulty of subsistence many checks which avail to keep increase of population within reasonable bounds.