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.
I lived my life one way for 35 years, for me. And then the focus came in on what I really was.
Intellectual honesty is the quality that the public in free countries always has expected of historians; much more than that it does not expect, nor often get.
Understanding- -like civilization, happiness, music, science and a host of other great endeavors--is not a state of being, but a manner of traveling. This great road has no final destination. The journey itself is the reward.
If you just sit and observe, you will see how restless your mind is. If you try to calm it, it only makes it worse, but over time it does calm, and when it does, there's room to hear more subtle things - that's when your intuition starts to blossom and you start to see things more clearly and be in the present more. Your mind just slows down, and you see a tremendous expanse in the moment. You see so much more than you could see before. It's a discipline; you have to practice it.
It is a rare and difficult attainment to grow old gracefully and happily.
Running around accusing others is not as good as laughing. And enjoying a good laugh is not as good as going along with things.
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