[kmmlng]

It seems that all these points assume naturally unlimited and indefinite population growth, but it is projected that the world population will reach a certain point and then level off (see https://ourworldindata.org/world-population-growth for some charts).

The basic argument is that increasing the education of women leads to fewer children. You can already see this in developed countries which are actually starting to exhibit negative population growth (e.g. Japan).