Love that quote: "the main job of theoretical physics is to prove yourself wrong as soon as possible."<p>I try and apply it to programming and computer systems. Test test test, prototype before you commit millions of dollars and hours to something that might not work very well.<p>Unfortunately not everyone sees it my way.
I love Fermats Last Theorem.<p>It just looks so innocuous. Especially given early exposure to a^2 + b^2 = c^2<p>I've always had the unreachable goal to prove Fermats Last Theorem with high school based math.<p>One day... One day!
Beautiful! Of course, no finite probability could ever prove that no solution exists, but being able to say that the odds of a solution are 10^-31 is, for all practical purposes, a guarantee there is none.