Earlier quoted context omitted.
You buy a stock, create a company, build a house, because you expect it to increase in value and be a worthwhile investment. If growth stops it will be increasingly hard to do this, because all stocks that are still increasing in value will be bought up, until they cannot anymore. So you keep your money. Deflation. System collapse.
OK, that's a rough argument that needs fleshing out. Has the rigorous argument actually been made and is widely accepted by economists or is this just a meme that's accepted and repeated without much basis?
"[I]f energy became arbitrarily cheap, someone could buy all of it, and suddenly the activities that comprise the economy would grind to a halt. Food would stop arriving at the plate without energy for purchase, so people would pay attention to this. Someone would be willing to pay more for it. Everyone would. There will be a floor to how low energy prices can go as a fraction of GDP."
http://physics.ucsd.edu/do-the-math/2012
It seems like a similar argument could be made for land.