One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.
Freeman DysonRead
The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to find the right architecture. It's like building a bridge. Once the main lines of the structure are right, then the details miraculously fit. The problem is the overall design.
Interpretation
What this quote means
Mathematics, like architecture, requires a solid foundational design.
Freeman Dyson emphasizes the importance of a solid foundational structure in mathematics, comparing it to architecture and bridge-building. He suggests that once the core principles and framework are correctly established, the finer details will naturally align and fit together, highlighting the significance of overarching design in any complex endeavor.
Themes
MathematicsArchitectureDesignStructureFoundations
In practice
Example use cases
During a lecture on advanced mathematics, this quote emphasizes the importance of fundamental principles.
More from Freeman Dyson
All quotes →Biology is now bigger than physics, as measured by the size of budgets, by the size of the workforce, or by the output of major discoveries; and biology is likely to remain the biggest part of science through the twenty-first century.
Freeman DysonRead
As a working hypothesis to explain the riddle of our existence, I propose that our universe is the most interesting of all possible universes, and our fate as human beings is to make it so
Freeman DysonRead
It's not going to be just humans colonizing space, it's going to be life moving out from the Earth, moving it into its kingdom. And the kingdom of life, of course, is going to be the universe.
Freeman DysonRead
For some days I quietly worked out in my own mind the metaphysics of Cosmic Unity. The more I thought about it, the more convinced I became that it was the living truth. It was logically incontrovertible. It provided for the first time a firm foundation for ethics. It offered mankind the radical change of heart and mind that was our only hope of peace at a time of desperate danger. Only one small problem remained. I must find a way to convert the world to my way of thinking.
Freeman DysonRead
Thanks to the discoveries of astronomers in the twentieth century, we now know that the heat death is a myth. The heat death can never happen, and there is no paradox.
Freeman DysonRead
Similar quotes
If popular medicine gave the people wisdom as well as knowledge, it would be the best protection for scientific and well-trained physicians.
Rudolf VirchowRead
Of course, if one ignores contradictory observations, one can claim to have an "elegant" or "robust" theory. But it isn't science.
Halton ArpRead
It has not escaped our notice that the specific pairing we have postulated immediately suggests a possible copying mechanism for the genetic material.
Francis CrickRead
Many people find the universe confusing - it's not.
Stephen HawkingRead
It's important that everyone realizes how much scientists still don't know.
Martin ReesRead
The brain is the most complicated organ in the universe. We have learned a lot about other human organs. We know how the heart pumps and how the kidney does what it does. To a certain degree, we have read the letters of the human genome. But the brain has 100 billion neurons. Each one of those has about 10,000 connections.
Francis CollinsRead