Knowledge Quotes

"One sometimes says that theories are proved by experiments. This is a very hasty statement."

"Knowledge is not limited to the known; it extends to all possible unknowns."

"An expert is a person who has made all the mistakes that can be made in his field."

"Anybody who is not shocked by quantum theory has not understood it."

"In every aspect of life, there are laws and principles to be discovered and understood."

"One should not think of separate compartments of knowledge, but rather of a unified body of understanding."

"The most profound discoveries often overturn our deepest assumptions."

"In these days of rampant specialization, it is refreshing to be reminded that some of the greatest minds in history were generalists."

"The unity of knowledge is not a gift but a challenge we must continually strive to meet."

"The universe speaks in the language of mathematics; those who cannot read this language are condemned to ignorance."

"In the grammar of mathematics, every symbol has meaning, and meaning requires structure."

"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding."

"In intuitionistic logic, we find not fewer truths, but truer truths."

"We must learn to think not about what numbers are, but what we do with them."

"Numbers are our oldest and most faithful servants in the quest for truth."

"The path to mathematical truth is the path of construction, not assumption."

"We must know, we will know."

"The most important principle for the development of science is to assure oneself of the clear understanding of the foundations."

"The only source of knowledge is experience."

"If you cannot explain it simply, you do not understand it well enough."

"There is a world of difference between understanding something and knowing it through direct experience."

"The only thing more dangerous than ignorance is apathy in the face of ignorance."

"To understand the big picture, you have to understand the small details."

"The word 'number' is surely not without a sense; but when we have the sentence 'the number of roots of this equation is four', it seems very difficult to give the meaning of the word 'number' here."

"The sense of a proper name is the mode of presentation of what it stands for."

"Numbers are objects of thought, not creations of the mind."

"The mind cannot invent truths; it can only discover them."

"A name without sense is meaningless."

"Concepts are not ideas in the psychological sense."

"Clarity in thought requires precision in language."