The sun's death is a fade from white to black during 4.5 billions years. This fade is unpeceivable during a human life.
"While we talk, the sun is getting older. It will explode in 4.5 billion years. It's just a little beyond the halfway point of its expected lifetime. It's like a man in his early forties with a life expectancy of eighty. With the sun's death your insoluble questions will be done with too. It is possible they'll stay unanswered rigth up to the end, flazlessly formulated, though now both grounds for raising such questions as well as the place to do this will no longer exist. You explain: it's impossible to think an end, pure and simple, of anything at all, since the end's a limit and to think it you have to be on the both sides of that limit. So what's finished or finite has to be perpetuated in our thought if it's to be thought of as finished. Now this is true of limits belonging to thought. But after the sun's death there won't be a thought to know that its death took place."