You need to invent things and you need to get them to people. You need to commercialize those inventions. Obviously, the best way we’ve come up with doing that is through companies.
In mathematics, you don't understand things. You just get used to them.
The world is so beautiful and regretful, you and I are all lone travelers from afar, constantly walking, regardless of everything, crying, laughing, lingering in the world, just to make this trip worthwhile.