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Whitehead, Alfred North (1861 - 1947)

We think in generalities, but we live in details.

W.H. Auden and L. Kronenberger The Viking Book of Aphorisms, New York: Viking Press, 1966.

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Loci: Convergence

Mathematical Quotations

Our library of quotations is organized alphabetically by surname of the author.

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Jacobi, Carl

Mathematics is the science of what is clear by itself.


Jacobi, Carl

It is often more convenient to possess the ashes of great men than to possess the men themselves during their lifetime.
[Commenting on the return of Descartes' remains to France]


Jacobi, Carl

The real end of science is the honor of the human mind.


Jacobi, Carl

God ever arithmetizes.


Jacobi, Carl

One should always generalize.
(Man muss immer generalisieren.)


Jacobi, Carl

It is true that Fourier had the opinion that the principal aim of mathematics was public utility and explanation of natural phenomena; but a philosopher like him should have known that the sole end of science is the honor of the human mind, and that under this title a question about numbers is worth as much as a question about the system of the world.


James, William (1842 - 1910)

The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal.


Jeans, Sir James

From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician.


Jeans, Sir James

The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures.


Jefferson, Thomas

[T]he science of calculation also is indispensable as far as the extraction of the square and cube roots: Algebra as far as the quadratic equation and the use of logarithms are often of value in ordinary cases: but all beyond these is but a luxury; a delicious luxury indeed; but not to be in indulged in by one who is to have a profession to follow for his subsistence.


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