A Quote by Cornelius Lanczos

It is a well-known experience that the only truly enjoyable and profitable way of studying mathematics is the method of "filling in details" by one's own efforts.
The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.
..where effective competition can be created, it is a better way of guiding individual efforts than any other... regards competition as superior not only because it is in most circumstances the most efficient method known but even more because it is the only method by which our activities can be adjusted to each other without coercive or arbitrary intervention of authority.
The only way I know to drive out evil from the country is by the constructive method of filling it with good.
Our culture already has a number of well known stories about artificial life and non-human intelligence. In 'Exegesis,' I've tried to not only tell a new and engaging story but also to comment on those well known stories through the details of my novel.
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
Polak, a psychiatrist, has applied a behavioral and anthropological approach to alleviating poverty, developed by studying people in their natural surroundings. He argues that there are three mythic solutions to poverty eradication: donations, national economic growth, and big businesses. Instead, he advocates helping the poor earn money through their own efforts of developing low-cost tools that are effective and profitable.
I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
What a tragedy it was that the only thing age could offer to youth was its own experience, and that the experiences of others were never profitable.
The only way of learning the method of science is the long and bitter way of personal experience.
Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
The only way to settle questions of an ideological nature or controversial issues among the people is by the democratic method, the method of discussion, of criticism, of persuasion and education, and not by the method of coercion or repression.
All of my experience of studying religion, studying spirituality, studying natural healing, traditional medicine, has kind of enriched my vision of the world. Not only seeing reality as this moment, but as a culmination of all of the history behind us, and all of the fruit that hopefully we will be able to grow from the seeds that we are trying to plant, of goodness and peace and beauty and equality.
I tell you that studying humanities in high school is more important than mathematics - mathematics is too sharp an instrument, no good for kids.
Whereas young people become accomplished in geometry and mathematics, and wise within these limits, prudent young people do not seem to be found. The reason is that prudence is concerned with particulars as well as universals, and particulars become known from experience, but a young person lacks experience, since some length of time is needed to produce it.
No one can become rich by the efforts of only their toil, but only by the discovery of some method of taxing the labor of others.
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