Over time you will get the wrong answer more times than you get the ri — Mathematics

"One of the best ways to sharpen your brain, and to develop intelligence, is to study mathematics. It challenges and strengthens your mind in a way that very few other things do. It’s like going to the gym -- but for your brain!"

"Euclid alone has looked on Beauty bare."

"The thorough analysis of even simple problems in arithmetic may require the application of advanced mathematics."

"You cannot read mathematics superficially; the inescapable abstraction always has an element of self-torture in it, and the one to whom this self-torture is joy is the mathematician."

"No part of mathematics came to birth in the form that it now appears in a modern textbook: mathematical creativity can be slow, sometimes messy, often frustrating."

"Mathematics in general is fundamentally the science of self-evident things."

"In the life of the mass-order, the culture of the generality tends to conform to the demands of the average human being. Spirituality decays through being diffused among the masses when knowledge is impoverished in every possible way by rationalisation until it becomes accessible to the crude understanding of all."

"I say this to you because we Spaniards are a forgetful people, because we are used to living for the moment, because we do not look back, because we do not know how to see the chain of heroes, because we do not contemplate the sum of sacrifices."

"Sharon Tate was my best friend. Once, we were roommates. She introduced me to my husband. She was the godmother to my baby daughter who is named for her. In the six years time that I knew her, she never said an unkind word about anyone."

"Long time to see. (VS: Tapion)"

"Most mathematicians prove what they can, von Neumann proves what he wants." Once in a discussion about the rapid growth of mathematics in modern times, von Neumann was heard to remark that whereas thirty years ago a mathematician could grasp all of mathematics, that is impossible today. Someone asked him: "What percentage of all mathematics might a person aspire to understand today?" Von Neumann went into one of his five-second thinking trances, and said: "About 28 percent."

"Children must be free to think in all directions irrespective of the peculiar ideas of parents who often seal their childrens minds with preconceived prejudices and false concepts of past generations. Unless we are very careful, very careful indeed, and very conscientious, there is still great danger that our children may turn out to be the same kind of people we are."