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Mathematics is the queen of the sciences.
Mathematics is the queen of the sciences.
– Carl Frederick Gauss (1777–1855), German mathematician, astronomer, and physicist
God ever geometrizes.
– Plato (c.428–c.348 BCE), Greek philosopher.
Let no one ignorant of mathematics enter this door.
– Sign above entrance to Plato's Academy, a famous center for philosophical, mathematical, and scientific work.
There is nothing in the world except empty, curved space. Matter, charge, electromagnetism, and other fields are only manifestations of the bending of space. Physics is geometry.
– John Archibald Wheeler (1911–1908), American pioneer in nuclear and gravitation physics, who did much to prove Plato's claim—that God is a geometer—prescient.
Philosophy is written in this grand book—I mean the universe—which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics.
– Galileo Galilei (1564–1642), Italian astronomer
When you can measure what you are speaking about and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meager, unsatisfactory kind.
There is nothing new to be discovered in physics now. All that remains is more and more precise measurement.
– Lord Kelvin (1824–1907), Irish-born Scottish physicist after whom the absolute ("Kelvin") temperature scale is named.
There is no branch of mathematics, however abstract, that may not someday be applied to phenomena of the real world.
– Nikolai Lobachevski (1792–1856), Russian discoverer of non-Euclidean geometry
Numerical precision is the very soul of science.
The perfection of mathematical beauty is such that whatsoever is most beautiful and regular is also found to be most useful and excellent.
– Sir D'Arcy Thompson (1860–1948), Scottish mathematical biologist
All the pictures which science now draws of nature and which alone seem capable of according with observational fact are mathematical pictures. From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician, and the universe begins to look more like a great thought than a great machine.
– Sir James Jeans (1877–1946), English physicist, astronomer, and writer
It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? 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. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.
– Paul A. M. Dirac (1902–1984), English Nobel prize-winning mathematical physicist, pioneer of quantum theory
Because the shape of the whole universe is most perfect and, in fact, designed by the wisest creator, nothing in all of the world will occur in which no maximum or minimum rule is somehow shining forth.
– Leonhard Euler (1707–1783), Swiss mathematician who developed the mathematics of extremes
God made the whole numbers—all the rest is the work of man.
– Leopold Kronecker (1823–1891), German mathematician
As far as the mathematical theorems refer to reality, they are not sure, and as far as they are sure, they do not refer to reality.
– Albert Einstein (1879–1955)
