Euclidean Space Quotes & Sayings

Of the two alternatives - a curved manifold in a Euclidean space of ten dimensions or a manifold with non-Euclidean geometry and no extra dimensions - which is right? I would rather not attempt a direct answer, because I fear I should get lost in a fog of metaphysics. But I may say at once that I do not take the ten dimensions seriously; whereas I take the non-Euclidean geometry of the world very seriously, and I do not regard it as a thing which needs explaining away. — Arthur Stanley Eddington

Simply be the qualities you seek in others. — Wayne Dyer

DOCTOR: Oh. My, God! Oh, it's bigger!
RIVER: Well, yes.
DOCTOR: On the inside,
RIVER: We need to concentrate.
DOCTOR: Than it is
RIVER: I know where you're going with this, but I need you to calm down.
DOCTOR: On the outside!
RIVER: You've certainly grasped the essentials.
DOCTOR: My entire understanding of physical space has been transformed! Three-dimensional Euclidean geometry has been torn up, thrown in the air and snogged to death! My grasp of the universal constants of physical reality has been changed forever. — The Doctor

I don't regret for a single moment having lived for pleasure.
I did it to the full, as one should do everything that one does. There was no pleasure I did not experience. — Oscar Wilde

Among all the religious persecutions with which almost every page of modern history is stained, no victim ever suffered but for violation of what Government denominated the law of God. To prevent a similar train of evils in this country, the Constitution has wisely withheld from our Government the power of defining the divine law. — Richard Mentor Johnson

Mathematics is not a science from our point of view, in the sense that it is not a natural science. The test of its validity is not experiment. — Richard Feynman

Because one is using Euclidean space-times, in which the time direction is on the same footing as directions in space, it is possible for space-time to be finite in extent and yet to have no singularities that formed a boundary or edge. Space-time would be like the surface of the earth, only with two more dimensions. The surface of the earth is finite in extent but it doesn't have a boundary or edge: if you sail off into the sunset, you don't fall off the edge or run into a singularity. (I know, because I have been round the world!) — Stephen Hawking

The victory over Euclidean space was not achieved by isolated individuals, but by a field of young rebels opposed to all absolutes. — Marshall McLuhan

And so will I here state just plainly and briefly that I accept God. But I must point out one thing: if God does exist and really created the world, as we well know, he created it according to the principles of Euclidean geometry and made the human brain capable of grasping only three dimensions of space. Yet there have been and still are mathematicians and philosophers-among them some of the most outstanding-who doubt that the whole universe or, to put it more generally, all existence was created to fit Euclidean geometry; they even dare to conceive that two parallel lines that, according to Euclid, never do meet on earth do, in fact, meet somewhere in infinity. And so my dear boy, I've decided that I am incapable of understanding of even that much, I cannot possibly understand about God. — Fyodor Dostoyevsky

The differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors. — Hans Reichenbach

Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience. — Arthur Cayley

We make our food very similar to cocaine now. — Kerry Patterson

The biggest problem is that people want to tell the whole story, and they write letters that are way longer than anything I could possibly run. — Emily Yoffe

Simply to acquiesce in skepticism can never suffice to overcome the restlessness of reason. — Immanuel Kant

I swear, gentlemen, that to be too conscious is an illness - a real thorough-going illness. — Fyodor Dostoyevsky

Going into that race I was going for the world record, just quietly, but I wasn't feeling at my best all week so it was hard to determine what would happen. I could not believe it, I went into shock, I'm still in shock. — Leisel Jones

The wretched reflect either too much or too little. — Publilius Syrus