I've been pondering about this for some time and even more after the introduction of Siri, Google Now, and others. I've come to the conclusion that in the near future (artificially) intelligent personal digital assistants will become THE way majority of people will interact with the digital world. It will of course depend on how good and how quickly the assistants evolve, but the potential in productivity gains and transforming the way we live is too big opportunity to be missed. Imagine having a (real) person that would take care of simplifying and helping you with your digital and real life (calendar, meetings, notes, email, flights and other travel, anniversaries, even small research tasks like buy this or that etc.). It would help you immensely by saving time on the fluff of our daily lives and by allowing you to focus on what you deem important.
Therefore I think one of the most important open source projects of the next decade will be to build such a learning intelligent personal digital assistant. A Linux of our generation if you will.. Otherwise this opportunity will be lost to advertisers and others that have interest in steering movements and behavior of the masses. Does anyone know if such an FOSS initiative already exists?