A Quote by G. H. Hardy

In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy. — © G. H. Hardy
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
Mathematics never reveals man to the degree, never expresses him in the way, that any other field of human endeavour does: the extent of the negation of man's corporeal self that mathematics achieves cannot be compared with anything. Whoever is interested in this subject I refer to my articles. Here I will say only that the world injected its patterns into human language at the very inception of that language; mathematics sleeps in every utterance, and can only be discovered, never invented.
The Irish move to a very low corporation tax has generated very significant revenue growth, considerably in excess of Britain's, where a slower economy has been combined with a number of stealth taxes.
I love Leonardo DiCaprio. He just makes really great films with great directors. He has great relationships with directors but also has a great social awareness. I think he balances his work with his responsibilities to his world, the environment, things like that very well. I'm very impressed by him and I admire him a lot. And other actors like Joaquin Phoenix, I just look at him and marvel at his unexpectedness, just his work really.
One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.
Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
The great artist, whether he be musician, painter, or poet, is known for this absolute unexpectedness.
I tell you that studying humanities in high school is more important than mathematics - mathematics is too sharp an instrument, no good for kids.
One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.
Apart from finding a first job, college graduates seem to adapt more easily than those with only a high school degree as the economy evolves and labor-market needs change.
At the start of high school, I looked like a girl... to a very major degree. I had really long hair and a really round face with no facial hair. And I went to a very rough high school.
I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
Well, I was always... I used to get 100% in physics and chemistry and mathematics (well, maybe a couple of points off in mathematics), and that was in high school.
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
What resonates with me whenever I watch a great movie or TV show is the balance of inevitability and unpredictability. And it's a very delicate balance.
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