Stuff is not growth, in the same way that money is not wealth (PG gets this. You have probably read the essay:
http://www.paulgraham.com/wealth.html). Growth is just increasing wealth, but we measure it in terms of stuff (GDP, factor productivity) because it's easy. There may be natural limits to the amount of stuff we can produce. But there are, in principle, no natural limits to the amount of wealth we can produce.
Growth—that is, more wealth due to better technology and higher productivity—is exactly what enabled the New York Philharmonic to play Beethoven's Ninth in the first place, instead of farm potatoes or work in a factory. It's exactly what enables me to buy a ticket and go listen in person, or spend nothing and watch the performance online, even though I'm not a king or priest or robber baron! Pronouncements that growth (read: wealth, innovation, technology, knowledge) must end are as silly as past pronouncements that we have reached the limits of scientific knowledge and all that's left is to look in the sixth place of decimals.
In fact, one path to more growth and better wealth is actually more productivity in the "caring professions" singled out here. Medicine, social work, and education all suffer from a similar stuff-growth measurement problem! (Here is one discussion of this argument: http://www.economist.com/node/21016577) We want better health, but we can't measure it very well, so we rely on healthcare spending. We want better social services, but it's tough to quantify outcomes, so we measure inputs like program budgets. We want better education, but we're not sure what works, so we measure number of teachers and test scores. Despite spending more and producing more stuff in each area, there has been little growth in the last few decades.
Professors of economics and sustainable development are both susceptible to this fallacy.