In the physical world, one cannot increase the size or quantity of anything without changing its quality.
Similar figures exist only in pure geometry.
This new integral of Lebesque is proving itself a wonderful tool. I might compare it with a modern Krupp gun, so easily does it penetrate barriers which were impregnable. Bulletin of the American Mathematical Society , vol. The outcome of any serious research can only be to make two questions grow where only one grew before. The Place of Science in Modern Civilization and Other Essays.