---
title: "2 Antiquity Quotes By Hermann Weyl"
description: "2 Antiquity quotes by Hermann Weyl. Plus more from Hermann Weyl and more Antiquity sayings from other authors."
image: "https://sms4smile.com/quotes/i/a74/hermann-weyl-16709_achievement_without-the-concepts-methods-and-results_922221.jpg"
---

> [ Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years. \[Said in 1950\] ](https://sms4smile.com/quotes/hermann-weyl/without-the-concepts-methods-and-results-found-and-developed-by/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

[Image](https://sms4smile.com/quotes/i/a74/hermann-weyl-16709_achievement_without-the-concepts-methods-and-results_922221.jpg)

> [“The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty…](https://sms4smile.com/quotes/hermann-weyl/the-greeks-made-space-the-subject-matter-of-a-science-of-supreme/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

[Image](https://sms4smile.com/quotes/i/abf/hermann-weyl-16709_ancient-greeks_the-greeks-made-space-the-subject-matter_1132723.jpg)

## Other authors on Antiquity

- [ ![](https://sms4smile.com/quotes/wp-content/uploads/sms4s/authors/processed/b011/author-henry-david-thoreau-41473.jpg) Henry David Thoreau 12 quotes ](https://sms4smile.com/quotes/about/antiquity/henry-david-thoreau/)
- [Ralph Waldo Emerson 5 quotes](https://sms4smile.com/quotes/about/antiquity/ralph-waldo-emerson/)
- [ ![](https://sms4smile.com/quotes/wp-content/uploads/sms4s/authors/processed/b007/author-confucius-24951.jpg) Confucius 5 quotes ](https://sms4smile.com/quotes/about/antiquity/confucius/)

## More by Hermann Weyl

> [For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.](https://sms4smile.com/quotes/hermann-weyl/for-mathematics-even-to-the-logical-forms-in-which-it-moves-is/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.](https://sms4smile.com/quotes/hermann-weyl/mathematics-has-the-inhuman-quality-of-starlight-brilliant-and-sharp/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [The introduction of numbers as coordinates by reference to the particular division scheme of the open one-dimensional continuum is an act of violence whose…](https://sms4smile.com/quotes/hermann-weyl/the-introduction-of-numbers-as-coordinates-by-reference-to-the/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [“Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton,…](https://sms4smile.com/quotes/hermann-weyl/our-generation-is-witness-to-a-development-of-physical-knowledge-such/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [“the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to the case…](https://sms4smile.com/quotes/hermann-weyl/the-problem-is-then-to-develop-a-theory-of-invariance-with-respect-to/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Before you generalize, formalize, and axiomatize there must be mathematical substance.](https://sms4smile.com/quotes/hermann-weyl/before-you-generalize-formalize-and-axiomatize-there-must-be/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [The whole is always more, is more capable of a much greater variety of wave states, than the combination of its parts. ... In…](https://sms4smile.com/quotes/hermann-weyl/the-whole-is-always-more-is-more-capable-of-a-much-greater-variety-of/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [You can not apply mathematics as long as words still becloud reality.](https://sms4smile.com/quotes/hermann-weyl/you-can-not-apply-mathematics-as-long-as-words-still-becloud-reality/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as…](https://sms4smile.com/quotes/hermann-weyl/not-only-in-geometry-but-to-a-still-more-astonishing-degree-in/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [The introduction of numbers as coordinates is an act of violence.](https://sms4smile.com/quotes/hermann-weyl/the-introduction-of-numbers-as-coordinates-is-an-act-of-violence/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [“The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.”](https://sms4smile.com/quotes/hermann-weyl/the-goal-of-mathematics-is-the-symbolic-comprehension-of-the-infinite/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [God exists because arithmetic is consistent - the Devil exists because we can't prove it!](https://sms4smile.com/quotes/hermann-weyl/god-exists-because-arithmetic-is-consistent-the-devil-exists-because/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or…](https://sms4smile.com/quotes/hermann-weyl/without-the-concepts-methods-and-results-found-and-developed-by/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.](https://sms4smile.com/quotes/hermann-weyl/besides-language-and-music-mathematics-is-one-of-the-primary/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [Our mathematics of the last few decades has wallowed in generalities and formalizations.](https://sms4smile.com/quotes/hermann-weyl/our-mathematics-of-the-last-few-decades-has-wallowed-in-generalities/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

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