This entire argument is based on the idea that we should be able to continually expand carrying capacity by our inventiveness. Stating for example increased farming yield with technology.
Not only is there a likely limit to our ability to squeeze more and more out of finite resources, but the author completely ignores the subtle long term damage that our technology creates. Our current food production systems are highly toxic to the environment and are a major source of CO2 output. So while we increased food carrying capacity we did so by reducing long term habitability of the planet.
Personally, I'd like to see populatin growth reduced by a global increase in quality of live. But not western culture consumption obsessed quality of life. That would need to change. As would the growth based financial system. Those two go hand in hand so this could all gradually happen at the same time. In theory.