Knowledge Quotes

From ancient scholars to modern scientists, these quotes explore what it means to learn and to know.

31147 quotes

W
"The mind that grasps mathematics touches the eternal."
Weyl, Hermann
W
"The mathematician sees the invisible scaffolding holding reality together."
Weyl, Hermann
W
"To understand particles, one must master the language of fields and symmetries."
Weyl, Hermann
W
"Mathematical insight often precedes experimental confirmation by decades."
Weyl, Hermann
W
"A mathematical idea, once grasped, cannot be ungrasped."
Weyl, Hermann
W
"The mathematical structure of quantum mechanics is its most profound aspect."
Weyl, Hermann
W
"The most powerful physics emerges from the deepest mathematical principles."
Weyl, Hermann
W
"The infinite can be understood only through mathematical abstraction."
Weyl, Hermann
W
"Mathematics is the language in which the book of nature is written."
Weyl, Hermann
W
"The task is not so much to see what no one has yet seen, but to think what nobody has yet thought about that which everybody sees."
Wigner, Eugene
W
"It is nice to know that the computer understands the problem. But I would like to understand it too."
Wigner, Eugene
W
"The absence of a mathematical solution does not mean the problem is unsolvable; it may only mean we are asking the wrong question."
Wigner, Eugene
W
"The pursuit of knowledge is always valuable, regardless of its immediate application."
Wigner, Eugene
W
"In mathematics, if a pattern occurs, you might be able to prove it immediately."
Wigner, Eugene
W
"The connection between the sciences and the humanities is deeper than most realize."
Wigner, Eugene
W
"Mathematics is a language, and we must learn to speak it fluently if we wish to understand nature."
Wigner, Eugene
W
"The physicist's intuition is built upon years of careful observation and thought."
Wigner, Eugene
B
"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding."
Brouwer, Luitzen Egbertus Jan
B
"The foundation of mathematics lies in the intuitive human mind."
Brouwer, Luitzen Egbertus Jan
B
"In mathematics, we do not discover eternal truths but create meaningful structures."
Brouwer, Luitzen Egbertus Jan
B
"To understand mathematics is to understand the nature of human reasoning itself."
Brouwer, Luitzen Egbertus Jan
B
"The proof of a theorem is the record of its discovery."
Brouwer, Luitzen Egbertus Jan
B
"A statement is meaningful only if it can be verified by mental construction."
Brouwer, Luitzen Egbertus Jan
B
"The intuition of space and time is the foundation of all mathematical thinking."
Brouwer, Luitzen Egbertus Jan
B
"To understand infinity is to understand the mind that conceives of it."
Brouwer, Luitzen Egbertus Jan
B
"Mathematics teaches us that simplicity can emerge from complexity."
Brouwer, Luitzen Egbertus Jan
B
"Every mathematical concept is rooted in human experience."
Brouwer, Luitzen Egbertus Jan
B
"The foundations of mathematics are ultimately psychological, not logical."
Brouwer, Luitzen Egbertus Jan
B
"Every mathematical advance is a step toward understanding the nature of mind itself."
Brouwer, Luitzen Egbertus Jan
B
"To construct is to understand, and to understand is to construct."
Brouwer, Luitzen Egbertus Jan