The new markets that arise from ecological constraints will dominate the 21st century economy, and so will markets for knowledge.
Our numbers expand, but Earth's natural systems do not.
I do not believe you can have infinite population or economic growth in a finite world. We are living on the shoulders of some awesome geometric curves.
The underlying reason for convergence seems to be that all organisms are under constant scrutiny of natural selection and are also subject to the constraints of the physical and chemical factors that severely limit the action of all inhabitants of the biosphere. Put simply, convergence shows that in a real world not all things are possible.
Infinite growth of material consumption in a finite world is an impossibility.
We can at least see that the question is asked, and asked on the basis of a clear recognition that there is no way of manipulating our environment that is without cost or consequence - and thus also of a recognition that we are inextricably bound up with the destiny of our world. There is no guarantee that the world we live in will "tolerate" us indefinitely if we prove ourselves unable to live within its constraints.
We live on a finite planet. We have finite resources, and we're running out of good, arable land.
And that, quite simply, is the issue. We live in a finite world with finite resources. Although it may sometimes seem quite big, earth is really very small - a tiny blue and green oasis of life in a cold universe.