Casting Quote by David Hilbert

The usefulness of mathematics in furthering the sciences is commonly acknowledged: but outside the ranks of the experts there is little inquiry into its…

— Herbert Turnbull

For most people, the major hurdle in grasping modern insights into the nature of the universe is that these developments are usually phrased using…

— Brian Greene

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

What promotes math progress even more than new ideas are new technical tools and habits of thought that encapsulate existing ideas, so that insights…

— Jim Propp

One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the…

— Freeman Dyson

One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.

— Bertrand Russell

Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may…

— Israel Nathan Herstein

“The new mathematics is a sort of supplement to language, affording a means of thought about form and quantity and a means of expression,more…

— H.G. Wells

By and large it is uniformly true that in mathematics there is a time lapse between a mathematical discovery and the moment it becomes…

— John Von Neumann

The profound study of nature is the most fertile source of mathematical discovery.

— Joseph Fourier

For there is a great difference in delivery of the mathematics , which are the most abstracted of knowledges, and policy , which is…

— Francis Bacon

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein