The whole idea of "your computer" is going away, and being replaced with "your data." You should be able to get at your data from any computer. Or rather, any client, and a client doesn't have to be a computer.
There's not really much more to be said than that. Most people here are aware of the competing visions of that time, and Microsoft never quite got it as their business model depended on (depends on) a computer on every desk. Apple never quite got it either (though, a little more now). Sun got it (obviously). Google got it even more.