Believe Quote by Proclus

Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry…

— Archimedes

“Yet there have been and still are mathematicians and philosophers who doubt whether the whole universe, or to speak more widely, the whole of…

— Fyodor Dostoyevsky

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for,…

— Carl Friedrich Gauss

[The works of Archimedes] are without exception, monuments of mathematical exposition; the gradual revelation of the plan of attack, the masterly ordering of the…

— Thomas Little Heath

“an impossible geometry”

— Alessandro Baricco

The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into…

— Plato

We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth…

— Hans Reichenbach

“There is no geometry here; or rather there is a secret, infinitely non-Eucledian and subtle geometry, a secret harmony that the mind seizes before…

— Alan Macfarlane

“It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as…

— Bernhard Riemann

How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!

— Archimedes

There is an astonishing imagination, even in the science of mathematics. ... We repeat, there was far more imagination in the head of Archimedes…

— Voltaire

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for,…

— Carl Friedrich Gauss