It strikes me that mathematical writing is similar to using a language. To be understood you have to follow some grammatical rules. However, in our case, nobody has taken the trouble of writing down the grammar; we get it as a baby does from parents, by imitation of others. Some mathematicians have a good ear; some not (and some prefer the slangy expressions such as 'iff'). That's life.
Jean-Pierre SerreRelated topics
baby case ear follow good grammar language nobody take trouble using others RulesRelated quotes
Each man is contained and constrained, on entering social life, to fit his own life in, just as he fits his words and thoughts into a language that was formed without and before him and which is impervious to his power. Entering the game, as it were, whether of belonging to a nation or of using a language, a man enters arrangements which it does not fall to him to determine, but only to learn and respect the rules.
Alain Finkielkraut
We have a word game in English called "Twenty questions." To play Twenty Questions, one player imagines some object, and the other players must guess what it is by asking questions that can be answered with a "yes" or a "no." I imagine every language has a similar game, and, for those of us who speak the language of science, the game is called The Scientific Method.
K. Barry Sharpless
Supposing Catherine Lim was writing about me and not the prime minister...She would not dare, right? Because my posture, my response has been such that nobody doubts that if you take me on, I will put on knuckle-dusters and catch you in a cul de sac...Anybody who decides to take me on needs to put on knuckle dusters. If you think you can hurt me more than I can hurt you, try. There is no other way you can govern a Chinese society.
Lee Kuan Yew
A good deal of my research in physics has consisted in not setting out to solve some particular problem, but simply examining mathematical equations of a kind that physicists use and trying to fit them together in an interesting way, regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later to have an application. Then one has good luck. At age 78.
Paul Dirac
We catched fish, and talked, and we took a swim now and then to keep off sleepiness. It was kind of solemn, drifting down the big still river, laying on our backs looking up at the stars, and we didn't ever feel like talking loud, and it warn't often that we laughed, only a kind of low chuckle. We had mighty good weather, as a general thing, and nothing ever happened to us at all, that night, nor the next, nor the next.
Mark Twain