Quotes of All Topics . Occasions . Authors
My seminar is for highschool students, decent undergraduates, bright graduates, and outstanding professors.
I much prefer the sharpest criticism of a single intelligent man to the thoughtless approval of the masses.
With Germany herself falling, it is not strange that the nations leagued with her also went down to defeat.
Philosophically, mathematics is not a part of science. Mathematics studies patterns, science studies nature
Yet if anyone believes that the earth rotates, surely he will hold that its motion is natural, not violent.
Calculus is the outcome of a dramatic intellectual struggle which has lasted for twenty-five hundred years.
Well, as you know, there are 24 hours in every day. And if that's not enough, you've always got the nights!
The role of the teacher is to create the conditions for invention rather than provide ready-made knowledge.
Education is a complex, multifaceted, and painstaking process, and being gifted does not make this less so.
Unsolicited surprise requests from strangers are essentially guaranteed to be met with a negative response.
Intelligent design is just the Logos theology of John's Gospel restated in the idiom of information theory.
First rate mathematicians choose first rate people, but second rate mathematicians choose third rate people.
There is a saying that every nice piece of work needs the right person in the right place at the right time.
Jesus is the God whom we can approach without pride and before whom we can humble ourselves without despair.
Those are weaklings who know the truth and uphold it as long as it suits their purpose, and then abandon it.
Il n'est pas certain que tout soit incertain. (Translation: It is not certain that everything is uncertain.)
The great mass of people judge well of things, for they are in natural ignorance, which is man's true state.
All mankind's unhappiness derives from one thing: his inability to know how to remain in repose in one room.
To ridicule philosophy is truly philosophical. [Fr., Se moquer de la philosophie c'est vraiment philosophe.]
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
Mathematics is a vast adventure; its history reflects some of the noblest thoughts of countless generations.
Very little mathematics has direct applications - though fortunately most of it has plenty of indirect ones.
There is a certain destiny of everything, regulated by the foreknowledge and providence of God in His works.
God makes nothing without order, and everything that forms itself develops imperceptibly out of small parts.
We have to come back to something like ordinary language after all when we want to talk "about" mathematics!
Experiment is the sole source of truth. It alone can teach us something new; it alone can give us certainty.
Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
Mathematics - the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to human affairs.
There are only two kinds of certain knowledge: Awareness of our own existence and the truths of mathematics.
The Earth is round, and is inhabited on all sides, is insignificantly small, and is borne through the stars.
Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines.
I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it.
But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.
... All that we may ever hope to establish in historical research are facts and conditions but never causes.
But what first motivated me wasn't anything I read. I just got mad seeing the machines ripping up the woods.
Philosophy begins in wonder. And, at the end, when philosophic thought has done its best, the wonder remains.
No religion can be considered in abstraction from its followers, or even from its various types of followers.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal
No longer was light analogous to the discharge of a blunderbuss, but rather to the pulsating flight of birds.
An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
Man's sensitivity to the little things and insensitivity to the greatest are the signs of a strange disorder.
The sensitivity of men to small matters, and their indifference to great ones, indicates a strange inversion.
The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.
As a programmer, it is your job to put yourself out of business. What you do today can be automated tomorrow.
When a butterfly flutters its wings in one part of the world, it can eventually cause a hurricane in another.
Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting.
Stan Ulam was lazy, ... He talked too much ... He was self-centered ... . He had an overpowering personality.
When ships to sail the void between the stars have been built, there will step forth men to sail these ships.
The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization.