Darth, and kririper . You are both correct, that it is inevitable, if growth rates continue.
But, with better “distribution,” or use of available technologies, the problem would be further down the road. The problem with that, is people cannot coexist. If there were a concentrated, combined effort, by the world’s people, to actually help each other, the problem with sustainability would be further in the future.
In the future, we will likely have more options. Like living on Mars, or some other planet with more resources.
People are a resource too. They can design, and build things. Cure diseases. Rescue/help others. Raise children.
The math isn’t the problem here. There’s enough universe out there, and resources for humans to expand almost indefinitely. But we have to learn how to play nice first. If we’re smart, and use what we have intelligently, we will eventually get better technology, to help us expand, and alleviate the resource problem.
With all these people, and many living in hygienically substandard, and crowded places, with poor nutrition, and poor health we’ll probably be looking at an epidemic soon. Disease is natural culling. And won’t need an executioner…