The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method–more daring than anything that the history of philosophy records–of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason. Nicholas Murray Butler
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More Quotes By Nicholas Murray Butler
  1. An expert is one who knows more and more about less and less until he knows absolutely everything about nothing.

  2. The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method–more daring than anything that the history of philosophy records–of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses...

  3. A degenerate nobleman or one that is proud of his birth is like a turnip. There is nothing good of him but that which is underground.

  4. Optimism is the foundation of courage.

  5. Optimism is essential to achievement and it is also the foundation of courage and of true progress.

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