> Why are you so bitter? I don't know, it's just how I am. > I doubt PhD+ people do that type of research "just for fun" Well you'd be surprised. All the pro

> Why are you so bitter? I don't know, it's just how I am. > I doubt PhD+ people do that type of research "just for fun" Well you'd be surprised. All the professional mathematicians I know do math for its own sake. Some amateurs also do it "just for fun", as you say. > Someone answered elaborately, and I'm glad they did. Thanks anyway. A bigger person than me, especially considering the tone of your question.