Filled Quote by Hans Reichenbach

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

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

The truth us that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space…

— Paul Carus

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 study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry…

— Henry David Thoreau

Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has…

— Arthur Cayley

“Before Einstein, geometry was thought to be part of the laws. Einstein revealed that the geometry of space is evolving in time, according to…

— Lee Smolin

“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

“Now, if on the one hand it is very satisfactory to be able to give a common ground in the theory of knowledge for…

— Hermann Weyl

“space has. If the Mathematical Universe Hypothesis is correct, then our Universe is a mathematical structure, and from its description, an infinitely intelligent mathematician…

— Max Tegmark

In reality the universe has no geometry.

— Kedar Joshi

Where there is matter, there is geometry.

— Johannes Kepler