Mathematical Expression Quotes

The love of the famous, like all strong passions, is quite abstract. Its intensity can be measured mathematically, and it is independent of persons.

One can understand nature only when one has learned the language and the signs in which it speaks to us; but this language is mathematics and these signs are methematical figures.

Pure mathematics is, in its way, the poetry of logical ideas.

I am interested in mathematics only as a creative art.

Mathematics is a language. We want scientists to be able to read it, speak it, and write it. But we are are not training them to be grammarians.

What is especially striking and remarkable is that in fundamental physics, a beautiful or elegant theory is more likely to be right than a theory that is inelegant. A theory appears to be beautiful or elegant (or simple, if you prefer) when it can be expressed concisely in terms of mathematics we already have. Symmetry exhibits the simplicity. The Foundamental Law is such that the different skins of the onion resemble one another and therefore the math for one skin allows you to express beautifully and simply the phenomenon of the next skin.

I think math is a hugely creative field, because there are some very well-defined operations that you have to work within. You are, in a sense, straightjacketed by the rules of the mathematics. But within that constrained environment, it's up to you what you do with the symbols.

Through the very culture of representation through form, we have come to see that the abstract - like the mathematical - is actually expressed in and through all things, although not determinately.

I myself, a professional mathematician, on re-reading my own work find it strains my mental powers to recall to mind from the figures the meanings of the demonstrations, meanings which I myself originally put into the figures and the text from my mind. But when I attempt to remedy the obscurity of the material by putting in extra words, I see myself falling into the opposite fault of becoming chatty in something mathematical.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

It is here [in mathematics] that the artist has the fullest scope of his imagination.

It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and throw themselves out for actual use, views are likely to be induced, which should again react on the more theoretical phase of the subject.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms.

The essence of mathematics lies precisely in its freedom.

It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions.

Math is the language of the universe.

My belief is that nothing that can be expressed by mathematics cannot be expressed by careful use of literary words.

I certainly wouldn't pay for a ticket to watch a math equation.

For hundreds of pages the closely-reasoned arguments unroll, axioms and theorems interlock. And what remains with us in the end? A general sense that the world can be expressed in closely-reasoned arguments, in interlocking axioms and theorems.

I see a certain order in the universe and math is one way of making it visible.

I remember, at MIT, we had to write an essay about something mathematical that you do in your extra time. I basically wrote about how dance, to me, was geometry: it was all shapes.

Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.

Mathematics is so much easier than words mathematics makes things clear that words merely muddle and confuse and mess up.

Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.