Henri Poincare Quotes
I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternary quadratic forms are identical with those of non-Euclidian geometry.
Poincaré, Henri. Science and Method. Translated by Francis Maitland, Thomas Nelson and Sons, 1914, p. 53.
Although there are applied Mathematicians and Statisticians striving for utility of their work, most of the great breakthroughs, both practical and theoretical, have been made by the theoretical mathematicians.
Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime.