A Quote by Chen-Ning Yang

In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and the profound Chern-Weil theorem. I said I found it amazing that gauge fields are exactly connections on fiber bundles, which the mathematicians developed without reference to the physical world. I added, "this is both thrilling and puzzling, since you mathematicians dreamed up these concepts out of nowhere." He immediately protested: "No, no. These concepts were not dreamed up. They were natural and real."
Mathematicians have been hiding and writing messages in the genetic code for a long time, but it's clear they were mathematicians and not biologists because, if you write long messages with the code that the mathematicians developed, it would more than likely lead to new proteins being synthesized with unknown functions.
In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid. As belonging to these imperfections, I consider the obscurity in the fundamental concepts of the geometrical magnitudes and in the manner and method of representing the measuring of these magnitudes, and finally the momentous gap in the theory of parallels, to fill which all efforts of mathematicians have so far been in vain.
Every morning I'd have coffee with my wife and we would discuss ideas. Sixty percent of what I did for the stores was concepts. The other forty percent was correcting and cleaning up other concepts in house, or doing final art on my concepts. Most of my concepts were so finished they could turn them over to somebody else.
We decided that 'trivial' means 'proved'. So we joked with the mathematicians: We have a new theorem- that mathematicians can prove only trivial theorems, because every theorem that's proved is trivial.
I dreamed I spoke in another's language, I dreamed I lived in another's skin, I dreamed I was my own beloved, I dreamed I was a tiger's kin. I dreamed that Eden lived inside me, And when I breathed a garden came, I dreamed I knew all of Creation, I dreamed I knew the Creator's name. I dreamed--and this dream was the finest-- That all I dreamed was real and true, And we would live in joy forever, You in me, and me in you.
Silicon Valley, "the largest legal creation of wealth in history," was built largely by unprofessional amateurs using math, sand, and the institutions of freedom. The Soviet Union had the greatest mathematicians on earth, and plenty of sand, but without the institutions of freedom their brilliant mathematicians were not empowered to create those devices that are changing the world.
When I told my son that I had to give a talk about my work to non-mathematicians, he warned me that regular people don't think like mathematicians.
We are caught up in a paradox, one which might be called the paradox of conceptualization. The proper concepts are needed to formulate a good theory, but we need a good theory to arrive at the proper concepts.
I served for 42 years on the board of trustees of the largest Presbyterian seminary, Princeton Theological Seminary, and we had brilliant people - teachers and students both-but they did not come up with many new concepts. They weren't invited to come up with new concepts. Anybody who had come up with a new concept would have been under suspicion for being out of step with the tradition or out of step with the teachings of the church.
The poet dreams of the classroom I dreamed I stood up in class And I said aloud: Teacher, Why is algebra important? Sit down, he said. Then I dreamed I stood up And I said: Teacher, I’m weary of the turkeys That we have to draw every fall. May I draw a fox instead? Sit down, he said. Then I dreamed I stood up once more and said: Teacher, My heart is falling asleep And it wants to wake up. It needs to be outside. Sit down, he said.
For him it was a dark passage which led to nowhere, then to nowhere, then again to nowhere, once again to nowhere, always and forever to nowhere, heavy on the elbows in the earth to nowhere, dark, never any end to nowhere, hung on all time always to unknowing nowhere, this time and again for always to nowhere, now not to be borne once again always and to nowhere, now beyond all bearing up, up, up and into nowhere, suddenly, scaldingly, holdingly all nowhere gone and time absolutely still and they were both there, time having stopped and he felt the earth move out and away from under them.
As for mathematicians themselves: don't expect too much help. Most of them are too far removed in their ivory towers to take up such challenges. And anyway, they are not competent. After all, they are just mathematicians-what we need is paramathematicians, like you... It is you who can be the welding force, between mathematicians and stories, in order to achieve the synthesis.
It never occurred to me that there were so many wonderful photos that had been orphaned and were out there in the world, waiting to be found. Over time, I found a lot of very strange pictures of kids, and I wanted to know who they were, what their stories were. Since the photos had no context, I decided I needed to make it up.
The theory of relativity worked out by Mr. Einstein, which is in the domain of natural science, I believe can also be applied to the political field. Both democracy and human rights are relative concepts - and not absolute and general.
The fact of evolution is the backbone of biology, and biology is thus in the peculiar position of being a science founded on an unproved theory -is it then a science or a faith? Belief in the theory of evolution is thus exactly parallel to belief in special creation - both are concepts which believers know to be true but neither, up to the present, has been capable of proof.
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.
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