Algorithms Quote by John von Neumann

The older I get, the more I believe that at the bottom of most deep mathematical problems there is a combinatorial problem.

— Israel Gelfand

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler…

— David Hilbert

But in spite of the obvious effectiveness of mathematics in physics, I have never heard of a good a prioriargument that the world must…

— Lee Smolin

You kind of alluded to it in your introduction. I mean, for the last 300 or so years, the exact sciences have been dominated…

— Stephen Wolfram

For a physicist mathematics is not just a tool by means of which phenomena can be calculated, it is the main source of concepts…

— Freeman Dyson

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

“Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable…

— Melvin Schwartz

It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the…

— Pierre-Simon Laplace

Another diversity of Methods is according to the subject or matter which is handled; for there is a great difference in delivery of the…

— Francis Bacon

If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and…

— Benoit Mandelbrot

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to…

— Anonymous

“The various approximations that constitute our current physics theories are successful because simple mathematical structures can provide good approximations of how a self-aware substructure…

— Max Tegmark