How far away is your future?

Let's try a thought experiment:

A flying saucer comes to Earth, destroys a major city to get our attention, then announces that in 10,000 years it is coming back to destroy the Earth. In order to eliminate any doubt, it then blows up Mars.

Assume for a moment that you believe the threat and there's nothing we can do about it...

Question: how would knowing that the planet would disappear in 10,000 years change your typical day?

Okay, now run the same story, but 1,000 years from now instead.

You...