story
You haven't seen all of them, but the more you see the less value you get from seeing another. So we can conclude that living for an eternity wouldn't be particularly more interesting than living for 100 years, as 100 years is more than enough to see many things in each category. You might not become a world expert in everything, but experiencing the things worth experiencing in the categories doesn't take particularly long to do and after that life is just padding.
The main reason to live now is that there are new interesting things coming out still, since computers are still young. That adds new things over the years. But interesting progress isn't really the norm, it isn't like physics or math has gotten any more interesting over my lifetime and I expect computers to get there before I die and then there isn't much left.
Edit: For example, everything we produce today is based on the same math and physics my grandfather learned in college. There has been no practical progress since then there. Main thing since is new tools enabled by computers that are more precise or automate things, that is interesting but the discoveries enabled by more automation/precise tools will run out at some point.
If you know a question is unanswerable, and mulling it over makes you unhappy, then it's foolish to continue thinking about it. You can just leave it be and move on with your life. I think most people eventually figure this out on their own some time in their late 20s.
[1] https://en.wikipedia.org/wiki/The_unanswered_questions#Sabba...
And I wouldn't say the zen koans are unanswerable, you can think of them like riddles that force you to think a different way than you normally do.