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Top 20 Hermann Weyl Quotes (2025 Update)

Hermann Weyl Quote: “The introduction of numbers as coordinates is an act of violence.”

1. “The introduction of numbers as coordinates is an act of violence.”

— Hermann Weyl

Hermann Weyl Quote: “Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.”

2. “Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.”

— Hermann Weyl

Hermann Weyl Quote: “Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature.”

3. “Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature.”

— Hermann Weyl

Hermann Weyl Quote: “Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.”

4. “Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.”

— Hermann Weyl

Hermann Weyl Quote: “God exists because arithmetic is consistent – the Devil exists because we can’t prove it!”

5. “God exists because arithmetic is consistent – the Devil exists because we can’t prove it!”

— Hermann Weyl

Hermann Weyl Quote: “The objective world is, it does not happen. Only to the gaze of my consciousness, crawling along the lifeline of my body, does a section of this world come to life as a fleeting image in space which continuously changes in time.”

6. “The objective world is, it does not happen. Only to the gaze of my consciousness, crawling along the lifeline of my body, does a section of this world come to life as a fleeting image in space which continuously changes in time.”

— Hermann Weyl

Hermann Weyl Quote: “A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.”

7. “A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.”

— Hermann Weyl

Hermann Weyl Quote: “Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton, and mathematics has scarcely ever experienced such a stormy epoch. Mathematical thought removes the spirit from its worldly haunts to solitude and renounces the unveiling of the secrets of Nature. But as recompense, mathematics is less bound to the course of worldly events than physics.”

8. “Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton, and mathematics has scarcely ever experienced such a stormy epoch. Mathematical thought removes the spirit from its worldly haunts to solitude and renounces the unveiling of the secrets of Nature. But as recompense, mathematics is less bound to the course of worldly events than physics.”

— Hermann Weyl

Hermann Weyl Quote: “Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection.”

9. “Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection.”

— Hermann Weyl

Hermann Weyl Quote: “You can not apply mathematics as long as words still becloud reality.”

10. “You can not apply mathematics as long as words still becloud reality.”

— Hermann Weyl

Hermann Weyl Quote: “Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.”

11. “Mathematics has been called the science of the infinite. Indeed, the mathematician invents finite constructions by which questions are decided that by their very nature refer to the infinite. This is his glory.”

— Hermann Weyl

Hermann Weyl Quote: “Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.”

12. “Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.”

— Hermann Weyl

Hermann Weyl Quote: “In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.”

13. “In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.”

— Hermann Weyl

Hermann Weyl Quote: “Before you generalize, formalize, and axiomatize there must be mathematical substance.”

14. “Before you generalize, formalize, and axiomatize there must be mathematical substance.”

— Hermann Weyl

Hermann Weyl Quote: “With mathematics we stand precisely at that intersection of bondage and freedom that is the essence of the human itself.”

15. “With mathematics we stand precisely at that intersection of bondage and freedom that is the essence of the human itself.”

— Hermann Weyl

Hermann Weyl Quote: “The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.”

16. “The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.”

— Hermann Weyl

Hermann Weyl Quote: “My work has always tried to unite the True with the Beautiful and when I had to choose one or the other, I usually chose the Beautiful.”

17. “My work has always tried to unite the True with the Beautiful and when I had to choose one or the other, I usually chose the Beautiful.”

— Hermann Weyl

Hermann Weyl Quote: “For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.”

18. “For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.”

— Hermann Weyl

Hermann Weyl Quote: “We must learn a new modesty. We have stormed the heavens, but succeeded only in building fog upon fog, a mist which will not support anybody who earnestly desires to stand upon it. What is valid seems so insignificant that it may be seriously doubted whether anlaysis is at all possible.”

19. “We must learn a new modesty. We have stormed the heavens, but succeeded only in building fog upon fog, a mist which will not support anybody who earnestly desires to stand upon it. What is valid seems so insignificant that it may be seriously doubted whether anlaysis is at all possible.”

— Hermann Weyl

Hermann Weyl Quote: “Our mathematics of the last few decades has wallowed in generalities and formalizations.”

20. “Our mathematics of the last few decades has wallowed in generalities and formalizations.”

— Hermann Weyl

Hermann Weyl Quote: “But it seems an irony of creation that man’s mind knows how to handle things the better the farther removed they are from the center of his existence. Thus we are cleverest where knowledge matters least...”

21. “But it seems an irony of creation that man’s mind knows how to handle things the better the farther removed they are from the center of his existence. Thus we are cleverest where knowledge matters least...”

— Hermann Weyl

Hermann Weyl Quote: “If Hilbert’s view prevails over intuitionism, as appears to be the case, then I see in this a decisive defeat of the philosophical attitude of pure phenomenology, which thus proves to be insufficient for the understanding of creative science even in the area of cognition that is most primal and most readily open to evidence – mathematics.”

22. “If Hilbert’s view prevails over intuitionism, as appears to be the case, then I see in this a decisive defeat of the philosophical attitude of pure phenomenology, which thus proves to be insufficient for the understanding of creative science even in the area of cognition that is most primal and most readily open to evidence – mathematics.”

— Hermann Weyl

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