Quote by Richard Courant
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
Summary
This quote emphasizes that mathematics, as a human endeavor, encompasses various aspects of our thinking and desires. It suggests that mathematics is a blend of active problem-solving, rational thinking, and the pursuit of beauty and harmony. The quote further highlights that mathematics involves both logical deductions and intuitive insights, analytical thinking alongside creative construction, and the consideration of both abstract generalizations and specific individual cases. Ultimately, this quote recognizes mathematics as a multifaceted discipline that combines different elements of the human mind to explore and express complex ideas.