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.
Paradise is hidden in each one of use, it is concealed within me too, right now, and if I wish, it will come for me in reality, tomorrow even, and for the rest of my life.
The greatest discovery of the 19th century was not in the realm of the physical sciences, but the power of the subconscious mind touched by faith. Any individual can tap into an eternal reservoir of power that will enable them to overcome any problem that may arise. All weaknesses can be overcome, bodily healing, financial independence, spiritual awakening, and prosperity beyond your wildest dreams. This is the superstructure of happiness.
Resolve to be thyself: and know that he who finds himself, loses his misery.
Sometimes you need to get hit in the head to realize that you're in a fight.
Selection is the very keel on which our mental ship is built. And in this case of memory its utility is obvious. If we remembered everything, we should on most occasions be as ill off as if we remembered nothing.
Some people are under the impression that all that is required to make a good fisherman is the ability to tell lies easily and without blushing; but this is a mistake. Mere bald fabrication is useless; the veriest tyro can manage that. It is in the circumstantial detail, the embellishing touches of probability, the general air of scrupulous - almost of pedantic - veracity, that the experienced angler is seen.
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