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The universal medicine for the Soul is the Supreme Reason and Absolute Justice; for the mind, mathematical and practical Truth; for the body, the Quintessence, a combination of light and gold.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
A sphere is made up of not one, but an infinite number of circles; women have diverse gifts, and to say that women's sphere is the family circle is a mathematical absurdity.
The mathematical education of the young physicist [Albert Einstein] was not very solid, which I am in a good position to evaluate since he obtained it from me in Zurich some time ago.
The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena.
The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the 'hard' sciences so brilliantly successful.
Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.
Eccentric doesn't bother me. 'Eccentric' being a poetic interpretation of a mathematical term meaning something that doesn't follow the lines - that's okay.
The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.
Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover.
...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know
The core of science is not a mathematical modeling--it is intellectual honesty. It is a willingness to have our certainties about the world constrained by good evidence and good argument.