I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect... Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics. (Carl Friedrich Gauss)

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect... Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.

Carl Friedrich Gauss

Related topics

arithmetic coming conviction geometry human intellect least mechanics necessity nor should

Related quotes

The first thing which I can record concerning myself is, that I was born. These are wonderful words. This life, to which neither time nor eternity can bring diminution - this everlasting living soul, began. My mind loses itself in these depths.
Groucho Marx
Seeing that a Pilot steers the ship in which we sail, who will never allow us to perish even in the midst of shipwrecks, there is no reason why our minds should be overwhelmed with fear and overcome with weariness.
John Calvin
Human progress is neither automatic nor inevitable... Every step toward the goal of justice requires sacrifice, suffering, and struggle; the tireless exertions and passionate concern of dedicated individuals.
Martin Luther King Jr.
If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
Vannevar Bush
Our votes must go together with our guns. After all, any vote we shall have, shall have been the product of the gun. The gun which produces the vote should remain its security officer - its guarantor. The people's votes and the people's guns are always inseparable twins.
Robert Mugabe