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.

Quoted in N Rose

God ever arithmetizes.

Quoted in H Eves *Mathematical Circles Revisited* (Boston 1971).

*Man muss immer generalisieren*

One should always generalize.

Quoted in P Davis and R Hersh *The Mathematical Experience* (Boston 1981).

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

Quoted in H Eves *In Mathematical Circles* (Boston 1969).

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]

Quoted in H Eves *Mathematical Circles Adieu* (Boston 1977).

Mathematics is the science of what is clear by itself.

Quoted in J R Newman, *The World of Mathematics* (New York 1956).

The God that reigns in Olympus is Number Eternal.

Quoted in T Dantzig, *Number: the Language of Science*

Mathematics exists solely for the honour of the human mind.

Quoted in W R Fuchs, *Mathematics for the Modern Mind*

Dirichlet alone, not I, nor Cauchy, nor Gauss knows what a completely rigorous mathematical proof is. Rather we learn it first from him. When Gauss says that he has proved something, it is very clear; when Cauchy says it, one can wager as much pro as con; when Dirichlet says it, it is certain ...

Quoted in G Schubring, *Zur Modernisierung des Studiums der Mathematik in Berlin, *1820-1840.

JOC/EFR February 2006

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