Defined Quote by Henri Poincare

I have hardly ever known a mathematician who was capable of reasoning.

— Plato

Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find…

— Benoit Mandelbrot

The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.

— Jacques Hadamard

What seems certain is that Pythagoras developed the idea of mathematical logic. He realized that numbers exist independently of the tangible world and therefore…

— Simon Singh

In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects…

— Philip J. Davis

What would mathematics have amounted to without the imagination of its devotees-its giants and their followers? There never was a discovery made without the…

— David Eugene Smith

Mathematicians, who are only mathematicians, have exact minds, provided all things are explained to them by means of definitions and axioms; otherwise they are…

— Blaise Pascal

How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to…

— Albert Einstein

Ever since the Enlightenment, people thought that we were living in a rational universe. They thought that God was a mathematician and that the…

— Eric Kandel

Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in…

— Anonymous

A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is…

— Gian-Carlo Rota

Mathematicians are inexorably drawn to nature, not just describing what is to be found there, but in creating echoes of natural laws.

— Roger Lewin