You really think that these trends will have much effect on ten thousand years in the future? Hell no, but I'd rather be remembered as a name on a piece of paper tracing someone's family back rather than some random tombstone that 2 or 3 people ever cared to see. In ten thousand years the human race may well evolve physically, and scientifically. Compare our science to that of the romans only two thousand years ago. In ten thousand years, the human race has the potential to do things that we could never dream of, and I mean that in the exact way it's said. We could never ever think of what they might invent, because it will be so far beyond what we know that we'll look like cave men to them. They may well find a way to unite the world, stop war, and colonize space. They may learn some of the secrets of the universe that we've been wondering about for thousands of years. Look at china. They're one of the most crowded countries on earth, and yet they still manage to survive, more or less, despite the extreme population density. If the US were to become as dense as china, they would have over a billion people living there, but china is ranked 71 in the list of countries by population density, so there are quite a few countries denser than china, and you don't hear about the overcrowding in those countries. Sure, industrialized countries can not support as many people as less industrialized countries, but in ten thousand years, the human race will likely have eliminated industrialization, and will likely have unified the world technologically at least.
The whole point is that ten thousand years is so far in the future the problems of today are likely not going to have much effect on it, and they'll likely be seen as simple trends on a chart, if they are even known of. If the world overcrowds, we'll die out until things become balanced again, and that'll be that.
