Weyl, Hermann

Mathematician-Philosopher German 1885 – 1955

Explored symmetry, mathematics, and philosophy of science.

376 quotes

"The universe is a mathematical entity thinking about itself."
Philosophy
"Invariance under transformation is the mark of true physical law."
Truth
"The mind that understands mathematics sees the world with new eyes."
Wisdom
"Group theory is the mathematics of symmetry and therefore of nature itself."
Science
"Tensor calculus allows us to express physical laws in their most beautiful form."
Art
"The continuity of space-time is both an assumption and a profound truth."
Nature
"Mathematics is the art of giving the same name to different things."
Creativity
"Quantum mechanics reveals that mathematical structure is more fundamental than intuition."
Science
"The most powerful physics emerges from the deepest mathematical principles."
Knowledge
"Weyl spaces model the geometry of the physical world with remarkable accuracy."
Science
"The mathematician's goal is not calculation but understanding."
Wisdom
"Nature respects mathematical elegance and punishes mathematical ugliness."
Nature
"The unity of physics lies in the unity of its mathematical structures."
Science
"To be a great physicist, one must first be a great mathematician."
Success
"Symmetry and conservation laws are two sides of the same coin."
Science
"The infinite can be understood only through mathematical abstraction."
Knowledge
"Mathematics gives us the courage to believe what reason alone might doubt."
Courage
"The structure of mathematics mirrors the structure of the universe."
Truth
"Weyl geometry extends Einstein's vision to encompass electromagnetic forces."
Science
"A single mathematical principle can explain thousands of phenomena."
Wisdom
"The universe is not random; it is governed by precise mathematical laws."
Nature
"Mathematical proof is the only absolute certainty available to humans."
Truth
"The integration of symmetry and dynamics is the heart of modern physics."
Science
"To doubt mathematics is to doubt the only reliable path to truth we possess."
Faith
"The elegance of Newton's laws lies not in their simplicity but their inevitability."
Beauty
"Mathematics is the language in which the book of nature is written."
Knowledge
"Mathematics is the instrument which has been created by the human spirit to understand the universe."
Science
"The capacity for mathematics is one of the most distinctive features of the human intellect."
Knowledge
"In my opinion, all that is necessary for faith is the belief that by doing our best we shall come nearer to success."
Faith
"Understand first, judge second."
Wisdom