A Quote by Peter Thiel
A conventional truth can be important - it's essential to learn elementary mathematics, for example - but it won't give you an edge. It's not a secret.
Quote Topics
Quote Author
Related Quotes
A Christian boy or girl can learn mathematics, for example, from a teacher who is not a Christian; and truth is truth however learned. But while truth is truth however learned, the bearing of truth, the meaning of truth, the purpose of truth, even in the sphere of mathematics, seem entirely different to the Christian from that which they seem to the non-Christian; and that is why a truly Christian education is possible only when Christian conviction underlies not a part but all, of the curriculum of the school.
A chess problem is genuine mathematics, but it is in some way "trivial" mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-"important" if you like, but the word is very ambiguous, and "serious" expresses what I mean much better.
You only learn when you give your whole being to something. When you give your whole being to mathematics,you learn; but when you are in a state of contradiction, when you do not want to learn but are forced to learn, then it becomes merely a process of accumulation. To learn is like reading a novel with innumerable characters; it requires your full attention, not contradictory attention.
Come on, readers, give me one example of a question that religion has answered to everyone's satisfaction - one example of a "truth" found in religion's quest for truth.
The truth is very important. No matter how negative it is, it is imperative that you learn the truth, not necessarily the facts. I mean, that, that can come, but facts can stand in front of the truth and almost obscure the truth. It is imperative that students learn the truth of our history.
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.
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.
Knowledge of facts is important. Knowledge of truth is essential. Yet our Lord's concern goes beyond mere head knowledge. He wants us not only to know the truth but also to obey the truth. He wants us to live the truth, practice the truth, and be conformed to and transformed by that truth.
Therefore, faithful Christian, seek the truth, listen to the truth, learn the truth, love the truth, tell the truth, learn the truth, defend the truth even to death.
It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.
All those formal systems, in mathematics and physics and the philosophy of science, which claim to give foundations for certain truth are surely mistaken. I am tempted to say that we do not look for truth, but for knowledge. But I dislike this form of words, for two reasons. First of all, we do look for truth, however we define it, it is what we find that is knowledge. And second, what we fail to find is not truth, but certainty; the nature of truth is exactly the knowledge that we do find.
The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.
The people who are horrified by the idea of children learning what they want to learn when they want to learn it have not accepted the very elementary psychological fact that people (all people, of every age) remember the things that are important to them - the things they need to know - and forget the rest.
Related Authors
Bill Gates Quotes
American
Businessman
Charlie Munger Quotes
American
Businessman
Dieter F. Uchtdorf Quotes
German
Businessman
Henry Ford Quotes
American
Businessman
Jim Rohn Quotes
American
Businessman
Joseph B. Wirthlin Quotes
American
Businessman
Mark Cuban Quotes
American
Businessman
Mark Zuckerberg Quotes
American
Businessman
Peter Drucker Quotes
American
Businessman
Richard Branson Quotes
British
Businessman
Russell Simmons Quotes
American
Businessman
Sam Altman Quotes
American
Businessman
Steve Jobs Quotes
American
Businessman
Tom Peters Quotes
American
Businessman
Walt Disney Quotes
American
Businessman
Warren Buffett Quotes
American
Businessman