Quotes of: Mathematics Keyword

May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.

James Joseph Sylvester

For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?

What Is Mathematics?: An Elementary Approach to Ideas and Methods

I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non-Euclidian mathematics with respect to political discipline.

The Concept of Model: An Introduction to the Materialist Epistemology of Mathematics

Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Mu...

A Mathematician's Apology

Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.

Levels of Infinity: Selected Writings on Mathematics and Philosophy

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

G. H. Hardy

These estimates may well be enhanced by one from F. Klein (1849-1925), the leading German mathematician of the last quarter of the nineteenth century. 'Mathematics in general is fundamentally the science of self-evident things.' ... If mathematics is...

Mathematics: Queen and Servant of Science

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. Though di...

What Is Mathematics?: An Elementary Approach to Ideas and Methods

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functiona...

Paul R. Halmos

The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.

Edsger Dijkstra

was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis ...

Hyperspace

Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought.

Foundations of Mathematics and Other Logical Essays

The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.

Andrew Wiles

I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither suf...

Life

The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess,...

Viswanathan Anand

All high mathematics serves to do is to beget higher mathematics.

Don't Forget to Breathe

Amusement if one of humankind's strongest motivational forces.

Islands of Truth: A Mathematical Mystery Cruise

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

David Hilbert

There's something mathematically satisfying about music: notes fit together and harmony and all that. And mathematics has to do with abstractions and making connections.

Tom Lehrer

One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigat...

How to Solve It: A New Aspect of Mathematical Method

Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.

Shakuntala Devi