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.
The absence of flaw in beauty is itself a flaw.
The woman's soul is fashioned as a shelter in which other souls may unfold.
Metaphysics is almost always an attempt to prove the incredible by an appeal to the unintelligible.
Nymphets do not occur in polar regions.
You're only infallible about your own nervous system. You know what's going on in your own nervous system, whatever realities you're creating out of the infinite flux of being. You don't know anything about anybody else's reality unless they tell you about it. You gotta listen very sympathetically in order to understand them. So it's a limited infallibility.
I took the world into me, rearranged it, and sent it back out as a question: "Do you like me?
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