Among the things which we can to some extent influence by our actions is the number of minds which shall exist, or, to be more cautious, which shall be embodied at a given time. It would be possible to increase the total amount of happiness in a community by increasing the numbers of that community even though one thereby reduced the total happiness of each member of it. If Utilitarianism be true it would be one’s duty to try to increase the numbers of a community, even though one reduced the average total happiness of the members, so long as the total happiness in the community would be in the least increased. It seems perfectly plain to me that this kind of action, so far from being a duty, would quite certainly be wrong.

C. D. Broad, Five Types of Ethical Theory, London, 1930, pp. 249-250