And nobody is talking about taking guns away from hunters or sportsmen or banning all guns. Nobody is talking about that.
Chess problems are the hymn-tunes of mathematics.
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.
All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.
I remember once going to see him [Ramanujan] when he was lying ill at Putney. I had ridden in taxi-cab No. 1729, and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as a sum of two cubes in two different ways. "
It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.
I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world. . . Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one chance of escaping a verdict of complete triviality, that I may be judged to have created something worth creating. And that I have created something is undeniable: the question is about its value.
More and more major industries are being run on software and delivered as online services—from movies to agriculture to national defense. Many of the winners are Silicon Valley-style entrepreneurial technology companies that are invading and overturning established industry structures. Over the next 10 years, I expect many more industries to be disrupted by software, with new world-beating Silicon Valley companies doing the disruption in more cases than not.
Prosperous farmers mean more employment, more prosperity for the workers and the business men of every industrial area in the whole country.
I consider time as an in immense ocean, in which many noble authors are entirely swallowed up.
Plan. Yes. Good idea. I should come up with a plan.