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."
Interpretation
The quote highlights the unexpected significance found in seemingly dull or ordinary things.
In this quote, G. H. Hardy shares an encounter with the mathematician Srinivasa Ramanujan, who turned what Hardy considered an uninteresting taxi cab number, 1729, into a fascinating mathematical subject. This demonstrates how perspectives can transform our understanding and appreciation of even the most mundane aspects of life by revealing hidden beauty and complexity.
In practice
In a lecture on the importance of perspective in mathematics.
A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.
Mathematics is not a contemplative but a creative subject; no one can draw much consolation from it when he has lost the power or the desire to create; and that is apt to happen to a mathematician rather soon. It is a pity, but in that case he does not matter a great deal anyhow, and it would be silly to bother about him.
Exposition, criticism, appreciation, is work for second-rate minds.
It is hardly possible to maintain seriously that the evil done by science is not altogether outweighed by the good. For example, if ten million lives were lost in every war, the net effect of science would still have been to increase the average length of life.
Real mathematics must be justified as art if it can be justified at all.
If intellectual curiosity, professional pride, and ambition are the dominant incentives to research, then assuredly no one has a fairer chance of gratifying them than a mathematician.
What does it avail you, if of many thorns only one be removed.
It's awfully important to win with humility. It's also important to lose. I hate to lose worse than anyone, but if you never lose you won't know how to act. If you lose with humility, then you can come back.
The greatest treasures are those invisible to the eye but found by the heart.
Jealous people poison their own banquet and then eat it
Our sadness is an energy we discharge in order to heal. …Sadness is painful. We try to avoid it. Actually discharging sadness releases the energy involved in our emotional pain. To hold it in is to freeze the pain within us. The therapeutic slogan is that grieving is the ‘healing feeling.’
Trials make more room for consolation. There is nothing that makes a man have a big heart like a great trial. I always find that little, miserable people, whose hearts are about the size of a grain of mustard seed, never have had much to try them. I have found that those people who have no sympathy for their fellows — who never weep for the sorrows of others — very seldom have had any woes of their own. Great hearts can only be made by great troubles.
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