Euclidean geometry Quotes

“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.”

“I see now the virtue in madness, for this country knows no law nor any boundary. I pity the poor shades confined to the Euclidean prison that is sanity”

“One can say that Javert is our conscience. The ever lurking presence of the law and our own condemnation. The tension between who we were and who we are and who we can be. Javert represents that inescapable, shameful past that forever haunts and persues one's conscience. Javert is the man of the law, and... There are no surprises with the law. The principle of retribution is simple and monotonous, like Euclidean logic. It's closed to all alternatives and shut up against divine or human intervention... Indeed, Javert represents the merciless application of the law, the blind Justice that in the end is befuddled by hope and the possibility of redemption without punishment.”

“The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics.”

“The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought.”

“The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church, which had been maintained through the Middle Ages, had crumbled, and a wave of scepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science 'more geometrico.”

“Poetry is as precise a thing as geometry.”

“In reality the universe has no geometry.”

“Quantum entanglement and geometry; if we think of a particle as being at one pole of an expanding sphere that is not perfectly symmetrical, this surface would would be "rippling" like the surface of the ocean (in the audio world this is called dithering), at the other pole is the entangled particle and it is a property of the sphere that gives the illusion of connectivity. This is not a physical geometry, it is a computational geometry. Is spacetime a product of entanglement?”