It takes so long to train a physicist to the place where he understands the nature of physical problems that he is already too old to solve them.
The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.
Interpretation
What this quote means
Mathematics plays a crucial role in science, yet its effectiveness often feels surprising and beyond our comprehension.
Eugene Wigner reflects on the profound and somewhat paradoxical relationship between mathematics and the physical sciences. Despite the abstract nature of mathematics, it consistently provides tools and frameworks that allow scientists to describe and understand the complexities of the natural world. This efficiency is viewed as a remarkable gift that humanity does not fully grasp or feel entitled to, highlighting the mysterious interplay between logical reasoning and empirical investigation.
Themes
In practice
Example use cases
In a lecture about the role of mathematics in scientific discovery, one could use this quote to emphasize its significance.
More from Eugene Wigner
All quotes βIt was not possible to formulate the laws of quantum mechanics in a fully consistent way without reference to the consciousness.
The full meaning of life, the collective meaning of all human desires, is fundamentally a mystery beyond our grasp. As a young man, I chafed at this state of affairs. But by now I have made peace with it. I even feel a certain honor to be associated with such a mystery.
The great mathematician fully, almost ruthlessly, exploits the domain of permissible reasoning and skirts the impermissible. That his recklessness does not lead him into a morass of contradictions is a miracle in itself: certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess.
The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.
The simplicities of natural laws arise through the complexities of the language we use for their expression.
Similar quotes
We live inside our universe and cannot get a bird's-eye view of it from outside. And we cannot even see all of our universe. Distant parts of it are expanding away from us so fast that they are invisible; they go faster than the speed of light. Having bigger telescopes to see fainter stars will not help us here: invisible is truly invisible.
Perhaps... some day the precision of the data will be brought so far that the mathematician will be able to calculate at his desk the outcome of any chemical combination, in the same way, so to speak, as he calculates the motions of celestial bodies.
But the first the general public learned about the discovery was the news of the destruction of Hiroshima by the atom bomb. A splendid achievement of science and technology had turned malign. Science became identified with death and destruction.
It is a right, yes a duty, to search in cautious manner for the numbers, sizes, and weights, the norms for everything [God] has created. For He himself has let man take part in the knowledge of these things ... For these secrets are not of the kind whose research should be forbidden; rather they are set before our eyes like a mirror so that by examining them we observe to some extent the goodness and wisdom of the Creator.
Carbon has this genius of making a chemically stable, two-dimensional, one-atom-thick membrane in a three-dimensional world. And that, I believe, is going to be very important in the future of chemistry and technology in general.
The true scientific understanding of the nature of existence is so utterly fascinating; how could you not want people to share it? Carl Sagan, I think, said 'when you're in love, you want to tell the world.' And who, on understanding a scientific view of reality, would not, as it were, fall in love and want to tell the world.