This is an extension of my first question, and precisely as Jim2B suggests, I want enough time to pass on my network of space stations for their inhabitants to forget why they're there, how they got there, and even that there's a world outside (the stations' windows have been permanently shut). How would you construct a network like this and where would you position it to give a better chance it will survive for a long time, at least in part? Slate gives the ISS 5 years, but these stations would have been built to keep humanity safe while ~as of yet unspecified disaster~ raged below them, potentially for centuries. Is a thousand years before the stations begin to come down simply inconceivable?
It's perfectly conceivable. The reason the ISS has such a short live span is because the geeks who made it wanted to skimp on the price of fuel, so they let it hang in a very low orbit where it is subject to atmospheric drag. I would suggest, if you're interested in the safest place to put a space station, L4, orbiting the earth and trailing the moon - that way any debris will likely be plowed out of the way.
On that note, assuming such a level of sophisticated tech, it would probably be much safer to burrow into a small moon or large asteroid, and build your colony under a few km of solid iron.
You might also consider an extremely eccentric orbit. A long orbital period would be a natural plot device for systems on the station which would need to wake during perigee.