All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
… theoretical physics is actual philosophy. It has revolutionized fundamental concepts, e.g., about space and time (relativity), about causality (quantum theory), and about substance and matter (atomistics), and it has taught us new methods of thinking (complementarity) which are applicable far beyond physics.
Born was a refugee who escaped to England from Nazi Germany.
Simple things are always the most difficult.
All the most powerful ideas in history go back to archetypes.
Everything great in science and art is simple. What can be less complicated than the greatest discoveries of humanity - gravitation, the compass, the printing press, the steam engine, the electric telegraph?
In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid. As belonging to these imperfections, I consider the obscurity in the fundamental concepts of the geometrical magnitudes and in the manner and method of representing the measuring of these magnitudes, and finally the momentous gap in the theory of parallels, to fill which all efforts of mathematicians have so far been in vain.
The minute you get away from fundamentals – whether its proper technique, work ethic or mental preparation – the bottom can fall out of your game, your schoolwork, your job, whatever you’re doing.
I say further that for this great legislative body to ignore the Constitution and the fundamental concepts of our governmental system is to act in a manner which could ultimately destroy the freedom of all American citizens, including the freedoms of the very persons whose feelings and whose liberties are the major subject of this legislation.
I have tried to read philosophers of all ages and have found many illuminating ideas but no steady progress toward deeper knowledge and understanding. Science, however, gives me the feeling of steady progress: I am convinced that theoretical physics is actual philosophy. It has revolutionized fundamental concepts, e.g., about space and time (relativity), about causality (quantum theory), and about substance and matter (atomistics), and it has taught us new methods of thinking (complementarity) which are applicable far beyond physics.
The ability of nonintelligent people to understand the most complicated mechanisms and to use them has always been to me a cause of astonishment: their inability to understand simple questions is even more astonishing. The general acceptance of simple ideas is difficult and rare, and yet it is only when simple, fundamental, ideas have been accepted that further progress becomes possible on a higher level.
Private Victory precedes Public Victory. Algebra comes before calculus.
What makes it [economics] most fascinating is that its fundamental principles are so simple that they can be written on one page, that anyone can understand them, and yet very few do.
I think something that's very important for us to communicate is usually very simple. Like breathing: Breathing is very simple. You don't do a dissonant 9th harmony or something in breathing. You just breathe, you know. I think that's how it is with very important messages.
Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone.
Something can be real - actually existing, not merely illusory - and yet not be fundamental. Scientists used to think that heat, for example, was a fluidlike substance called 'caloric' that flowed from hot objects to colder ones.
It's the Simple things that are really effective. Try to remember that.
Maths is like a ladder - if you miss the first few rungs, you can't jump up, so start with the basics.
There are three creative ideas which, each in its turn, have been central to science. They are the idea of order, the idea of causes, and the idea of chance.
The first office of the social organ we call the school is to provide a simplified environment. It selects the features which are fairly fundamental and capable of being responded to by the young. Then it establishes a progressive order, using the factors first acquired as means of gaining insight into what is more complicated.
First, the avid student must be aware that when the world was young it knew only seven things: water, life and death, salt, night, birds and the length of an hour.
Theoretical and experimental physicists are now studying nothing at all-the vacuum. But that nothingness contains all of being.
I think we would have made a lot more mistakes and would have accomplished a lot less had we not been grounded in some basic truths.
By getting to smaller and smaller units, we do not come to fundamental or indivisible units. But we do come to a point where further division has no meaning.
Even theories must have foundations.
Success is the study of the obvious. Everyone should take Obvious 1 and Obvious 2 in school.