Try a hard problem. You may not solve it, but you will prove something else. John Edensor Littlewood More Quotes by John Edensor Littlewood More Quotes From John Edensor Littlewood Before creation, God did just pure mathematics. Then He thought it would be a pleasant change to do some applied. John Edensor Littlewood mathematics creation would-be I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his personal friends." My reaction was, "I wonder who said that; I wish I had." In the next proof-sheets I read (what now stands), "It was Littlewood who said..." John Edensor Littlewood wish math friendship The first test of potential in mathematics is whether you can get anything out of geometry. John Edensor Littlewood mathematics tests firsts It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely. John Edensor Littlewood learning math past The infinitely competent can be uncreative. John Edensor Littlewood mathematical mathematics math I constantly meet people who are doubtful, generally without due reason, about their potential capacity [as mathematicians]. The first test is whether you got anything out of geometry. To have disliked or failed to get on with other [mathematical] subjects need mean nothing; much drill and drudgery is unavoidable before they can get started, and bad teaching can make them unintelligible even to a born mathematician. John Edensor Littlewood failure teaching mean In presenting a mathematical argument the great thing is to give the educated reader the chance to catch on at once to the momentary point and take details for granted: two trivialities omitted can add up to an impasse). The unpractised writer, even after the dawn of a conscience, gives him no such chance; before he can spot the point he has to tease his way through a maze of symbols of which not the tiniest suffix can be skipped. John Edensor Littlewood add giving two The theory of numbers is particularly liable to the accusation that some of its problems are the wrong sort of questions to ask. I do not myself think the danger is serious; either a reasonable amount of concentration leads to new ideas or methods of obvious interest, or else one just leaves the problem alone. "Perfect numbers" certainly never did any good, but then they never did any particular harm. John Edensor Littlewood math numbers thinking A precisian professor had the habit of saying: "... quartic polynomial ax^4+bx^3+cx^2+dx+e , where e need not be the base of the natural logarithms." John Edensor Littlewood habit math needs I've been giving this lecture to first-year classes for over twenty-five years. You'd think they would begin to understand it by now. John Edensor Littlewood class years thinking The higher mental activities are pretty tough and resilient, but it is a devastating experience if the drive does stop. Some people lose it in their forties and can only stop. In England they are a source of Vice-Chancellors. John Edensor Littlewood vices doe people The surprising thing about this paper is that a man who could write it would. John Edensor Littlewood math writing science In passing, I firmly believe that research should be offset by a certain amount of teaching, if only as a change from the agony of research. The trouble, however, I freely admit, is that in practice you get either no teaching, or else far too much. John Edensor Littlewood change teaching believe A Miscellany is a collection without a natual ordering relation. John Edensor Littlewood miscellany mathematics relation A good mathematical joke is better, and better mathematics, than a dozen mediocre papers. John Edensor Littlewood mediocrity paper math A heavy warning used to be given that pictures are not rigorous; this has never had its bluff called and has permanently frightened its victims into playing for safety. John Edensor Littlewood mathematics safety warning A linguist would be shocked to learn that if a set is not closed this does not mean that it is open, or again that "E is dense in E" does not mean the same thing as "E is dense in itself". John Edensor Littlewood learning math mean Mathematics is a dangerous profession; an appreciable proportion of us go mad. John Edensor Littlewood proportion mathematics mad The referee said it was not acceptable, but the Press considered they could not refuse to publish a book by a professor of the university. John Edensor Littlewood professors said book I listen only to Bach, Beethoven or Mozart. Life is too short to waste on other composers. John Edensor Littlewood composer life-is-too-short waste
