Probably as measured with fiat currency, which can be created out of thin air, yes, stock prices will "increase" infinitely.

Measured against an actual real-world asset such as gold, oil etc., probably not. http://www.macrotrends.net/1378/dow-to-gold-ratio-100-year-h...

Not necessarily, assuming there's still a whole lot of economic development, growth, and innovation left before we achieve stasis. I think we've got generations left to go before we shift into a new paradigm.