Acquire Quote by Carl Gustav Hempel

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 conclusion is that the physical theory and the mathematical theory of science are valid methods but not valid philosophies. Facts need interpretation the…

— Fulton J. Sheen

Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But…

— Giuseppe Peano

We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be…

— Hans Reichenbach

We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.

— Ludwig Wittgenstein

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

Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them.

— Rudolf Steiner

One geometry cannot be more true than another; it can only be more convenient.

— Henri Poincare

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

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

For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate…

— Henry John Stephen Smith

“I hope you theorists know what you’re doing.’ ‘I can assure you that we don’t. The geometry is still beyond us. All I learnt…

— Greg Egan