Quote by Leonard A. Smith

“arguing that our external physical reality is a mathematical structure,”

— Max Tegmark

“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

“Somewhere out there is a theory that would explain my empirical observations, and this theory has yet to be discovered. Mathematics thrives on such…

— Henri Darmon

“The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical…

— William R. Miller

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of…

— William Thurston

“our successful theories aren’t mathematics approximating physics, but mathematics approximating mathematics.”

— Max Tegmark

“Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world.”

— Jordan Ellenberg

“this is mathematical speculation by a bunch of overcaffeinated theorists.”

— Jorge Cham

Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and…

— Ada Lovelace

The conception of objective reality ... has thus evaporated ... into the transparent clarity of mathematics that represents no longer the behavior of particles…

— Werner Heisenberg

The confusion, the difficulties, the contradictions which, in consequence of a want of accurate distinctions in this particular, have up to even a recent…

— Ada Lovelace

“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.”

— Melanie Mitchell