Exposition, criticism, appreciation, is work for second-rate minds.
Interpretation
G. H. Hardy suggests that true intellectual work goes beyond mere analysis and requires creativity and original thought.
In this quote, G. H. Hardy emphasizes the distinction between superficial analyses of work and the deeper, original contributions of great minds. He implies that those who are limited to exposition, criticism, and appreciation lack the originality required to create real advancements in thought or art. For Hardy, the highest form of intellectual engagement is not just about understanding or evaluating previous work, but also about creating something new and valuable.
In practice
In a speech about innovation, one might quote Hardy to emphasize the importance of originality over imitation.
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.
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.
There is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds.
Our birth is nothing but our death begun, As tapers waste the moment they take fire.
The game of life is a game of boomerangs. Our thoughts, deeds and words return to us sooner or later with astounding accuracy.
It is easier to live through someone else than to complete yourself. The freedom to lead and plan your own life is frightening if you have never faced it before. It is frightening when a woman finally realizes that there is no answer to the question 'who am I' except the voice inside herself.
I am very defective in all duties... In prayer I wander and am formal... I soon tire; devotion languishes; and I do not walk with God.
The laws of history are as absolute as the laws of physics, and if the probabilities of error are greater, it is only because history does not deal with as many humans as physics does atoms, so that individual variations count for more.
It doesn't matter if that felony happened three weeks ago or thirty-five years ago - for the rest of your life, you've got to check that box, knowing full well the odds are sky-high your application is going straight to the trash.
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