A Quote by David Hilbert
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
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An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.
It is clear that Economics, if it is to be a science at all, must be a mathematical science ... simply because it deals with quantities... As the complete theory of almost every other science involves the use of calculus, so we cannot have a true theory of Economics without its aid.
I had two passions when I was a child. First was to learn about Einstein's theory and help to complete his dream of a unified theory of everything. That's my day job. I work in something called string theory. I'm one of the founders of the subject. We hope to complete Einstein's dream of a theory of everything.
A man is not complete until he has seen the baby he has made.
We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.
String theory has had a long and wonderful history. It originated as a technique to try to understand the strong force. It was a calculational mechanism, a way of approaching a mathematical problem that was too difficult, and it was a promising way, but it was only a technique. It was a mathematical technique rather than a theory in itself.
You're a white South African, and right away you have to explain yourself. Occasionally, I get hassled until I explain my point of view. I have to make it clear that I don't live there anymore, and I don't approve of the brutal racial policies.
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 verbal interpretation, on the other hand - i.e., the metaphysics of quantum theory - is on far less solid ground. In fact, in more than forty years physicists have not been able to provide a clear metaphysical model.
We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.
Notwithstanding these major arguments the wave theory initially did not meet with complete acceptance.
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.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
Einstein's theory of General Relativity has a mathematical structure very similar to Yang-Mills theory.
[Referring to Fourier's mathematical theory of the conduction of heat] ... Fourier's great mathematical poem.
Theoretical physicists accept the need for mathematical beauty as an act of faith... For example, the main reason why the theory of relativity is so universally accepted is its mathematical beauty.
We have a great deal more kindness than is ever spoken. The whole human family is bathed with an element of love like a fine ether. How many persons we meet in houses, whom we scarcely speak to, whom yet we honor and who honor us! How many we see in the street, or sit with in church, whom though silently, we warmly rejoice to be with! Read the language of these wandering eye-beams. The heart knoweth.
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