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The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.
Eugene Wigner
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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

MathematicsScienceEfficiencyGiftUnderstanding

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

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.
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It was not possible to formulate the laws of quantum mechanics in a fully consistent way without reference to the consciousness.
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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.
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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.
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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.
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The simplicities of natural laws arise through the complexities of the language we use for their expression.
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