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Calculus Quote by Nicholas Murray Butler

“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…” quote by Nicholas Murray Butler
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“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

About This Quote

Source Lecture: Mathematics and Philosophy, 1930s

Mathematics, evolving from geometry to calculus, exemplifies pure reason’s dominance over sensory experience, becoming the essential language of science.

In simple terms: Math shows pure reason’s power in science.

Key Takeaway

Study mathematical reasoning for deeper insight.

Themes

mathematics reason science philosophy

Mood

analytical inquisitive

Type

academic inspirational

When to use this quote

  • education
  • research
  • technology development

Key Concepts

pure reason methodology

Questions to Reflect On

  • How does pure reason shape scientific progress?
  • What are limits of mathematical abstraction?
A Different Perspective

Complex math can be inaccessible without proper foundation.

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