I wrote a great deal... but very little of any importance; there are not more than four of five papers which I can still remember with some satisfaction.
Interpretation
The quote reflects on the author's realization that much of their written work lacks significance, highlighting the importance of quality over quantity.
G. H. Hardy's quote expresses a candid acknowledgment of his own literary output, suggesting that despite writing extensively, he only values a handful of his works. This introspection reveals a deeper philosophical perspective on the nature of achievement and the fleeting nature of recognition, emphasizing that it is not the volume of work that defines its worth but the impact and significance of a few select pieces.
In practice
In a motivational speech discussing the value of meaningful contributions.
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.
Good thinkers always prime the pump of ideas. They always look for things to get the thinking process started, because what you put in always impacts what comes out.
I'm not better than anyone, and I'm not trying to convince people to live by my standards of what's right. I'm trying to convince them to live by their own.
For gold is tried in the fire and acceptable men in the furnace of adversity.
Later, she would remember these years, and realize with astonishment that she had, by fifteen, decided on most of the assumptions she would carry for the rest of her life: that people were essentially not evil, that perfection was death, that life was better than order and a little chaos good for the soul. Most important, this life was all. Unfortunately, she forgot these things, and had to remember them the hard way.
Wisdom consists in knowing what not to want as well as what to want.
Genius may conceive but patient labor must consummate.
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