Paul Dirac Quotes

I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.

Many who have had an opportunity of knowing any more about mathematics confuse it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination.

I don't care much for equations myself. This is partly because it is difficult for me to write them down, but mainly because I don't have an intuitive feeling for equations.

I've always enjoyed mathematics. It is the most precise and concise way of expressing any idea.

Mathematical discoveries, small or great are never born of spontaneous generation.

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.

I enjoyed mathematics from a very young age. At the beginning of college, I had this illusion, which was kind of silly in retrospect, that if I just understood math and physics and philosophy, I could figure out everything else from first principles.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

if you do not appreciate the mathematics, you cannot see, among the great variety of facts, that logic permits you to go from one to the other

An ounce of algebra is worth of a ton of verbal argument.

I am never satisfied until I can make a mathematical model of what I am studying. If I succeed in making one, I understand. If I cannot, I do not understand.

What I knew was I liked math and science, and I never wanted to memorize everything. I wanted to understand where it came from.

What is mathematics? It is only a systematic effort of solving puzzles posed by nature.

I still remember the realization in college at Flinders University in Australia that mathematics was not just an abstract game of symbols but could be used as a tool to analyze and understand the modern world.

The math helps you have better understanding and helps you have more creative ideas, but you can't replace the creative ideas

I have deeply regretted that I did not proceed far enough at least to understand something of the great leading principles of mathematics, for men thus endowed seem to have an extra sense.

In their field they [mathematicians] do what we ought to be doing in ours. Therein lies the significant lesson ... of their existence. They are an analogy for the intellectual of the future.

Experience proves that anyone who has studied geometry is infinitely quicker to grasp difficult subjects than one who has not.

Mathematics is not just a language. Mathematics is a language plus reasoning.

Mathematics ... is indispensable as an intellectual technique. In many subjects, to think at all is to think like a mathematician.

Mathematical reasoning may be regarded.

Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.

Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.

Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.

The important thing to remember about mathematics is not to be frightened