In great mathematics there is a very high degree of unexpectedness, combined with inevitability and economy.
A Mathematician's Apology, London, Cambridge University Press, 1941.

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In great mathematics there is a very high degree of unexpectedness, combined with inevitability and economy. A Mathematician's Apology, London, Cambridge University Press, 1941. |
Loci: ConvergenceMathematical QuotationsOur library of quotations is organized alphabetically by surname of the author. Carroll, LewisThe different branches of Arithmetic -- Ambition, Distraction, Uglification, and Derision. Carroll, Lewis"Can you do addition?" the White Queen asked. "What's one and one and one and one and one and one and one and one and one and one?" "I don't know," said Alice. "I lost count." Carroll, LewisWhat I tell you three times is true. Cauchy, Augustin-Louis (1789 - 1857)Men pass away, but
their deeds
abide. Cayley, ArthurProjective geometry is all geometry. Cayley, ArthurAs for everything else, so for a mathematical theory: beauty can be perceived but not explained. Cezanne, Paul (1839 - 1906)...treat Nature by the sphere, the cylinder and the cone... Chekov, Anton (1860 - 1904)There is no national science just as there is no national multiplication table; what is national is no longer science. Chesterton, G. K. (1874 - 1936)It isn't that they can't see the solution. It is that they can't see the problem. Chesterton, G. K. (1874 - 1936)You can only find truth with logic if you have already found truth without it. |