Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.
So that's my wish for you, and all of us, and my wish for myself. Make New Mistakes. Make glorious, amazing mistakes. Make mistakes nobody's ever made before. Don't freeze, don't stop, don't worry that it isn't good enough, or it isn't perfect, whatever it is: art, or love, or work or family or life.
Memory is the great deceiver. Perhaps there are some individuals whose memories act like tape recordings, daily records of their lives complete in every detail, but I am not one of them. My memory is a patchwork of occurrences, of discontinuous events roughly sewn together: The parts I remember, I remember precisely, whilst other sections seemed to have vanished completely.
I'm concerned about a better world. I'm concerned about justice; I'm concerned about brotherhood; I'm concerned about truth. And when one is concerned about that, he can never advocate violence. For through violence you may murder a murderer, but you can't murder murder. Through violence you may murder a liar, but you can't establish truth. Through violence you may murder a hater, but you can't murder hate through violence. Darkness cannot put out darkness; only light can do that.
In Sarajevo in 1992, while being shown around the starved, bombarded city by the incomparable John Burns, I experienced four near misses in all, three of them in the course of one day. I certainly thought that the Bosnian cause was worth fighting for and worth defending, but I could not take myself seriously enough to imagine that my own demise would have forwarded the cause. (I also discovered that a famous jaunty Churchillism had its limits: the old war-lover wrote in one of his more youthful reminiscences that there is nothing so exhilarating as being shot at without result. In my case, the experience of a whirring, whizzing horror just missing my ear was indeed briefly exciting, but on reflection made me want above all to get to the airport. Catching the plane out with a whole skin is the best part .) Or suppose I had been hit by that mortar that burst with an awful shriek so near to me, and turned into a Catherine wheel of body-parts and (even worse) body-ingredients? Once again, I was moved above all not by the thought that my death would 'count,' but that it would not count in the least.