![...the relation of betweenness on the torus is undetermined for curves that cannot be contracted to a point [e. g., circles around a doughnut hole], i. e., for three of such curves it is not uniquely determined which of them lies between the other two... This indeterminateness... has the consequence that such a curve [alone] does not divide the surface of the torus into two separate domains; between points to the "right" and to the "left" of the line. (Hans Reichenbach)](https://cdn.quotesdtb.com/img/quotes_images_webp/96/hans-reichenbach-consequence-curve-314496.webp)
...the relation of betweenness on the torus is undetermined for curves that cannot be contracted to a point [e. g., circles around a doughnut hole], i. e., for three of such curves it is not uniquely determined which of them lies between the other two... This indeterminateness... has the consequence that such a curve [alone] does not divide the surface of the torus into two separate domains; between points to the "right" and to the "left" of the line.
Hans ReichenbachRelated topics
curve divide doughnut hole left line point right surface three torus lies pointsRelated quotes
Many years ago a very wise man named Bernard Baruch took me aside and put his arm around my shoulder. "Harpo my boy," he said, "I'm going to give you three pieces of advice, three things you should always remember." My heart jumped and I glowed with expectation. I was going to hear the magic password to a rich, full life from the master himself. "Yes sir?" I said. And he told me the three things. I regret that I've forgotten what they were.
Harpo Marx
On his childhood One morning I woke up and found my favorite pigeon, Julius, had died I was devastated and was gonna use his crate as my stickball bat to honor him. I left the crate on my stoop and went in to get something and I returned to see the sanitation man put the crate into the crusher. I rushed him and caught him flush on the temple with a titanic right hand he was out cold, convulsing on the floor like an infantile retard.
Mike Tyson
I can imagine no greater disservice to the country than to establish a system of censorship that would deny to the people of a free republic like our own their indisputable right to criticise their own public officials. While exercising the great powers of the office I hold, I would regret in a crisis like the one through which we are now passing to lose the benefit of patriotic and intelligent criticism.
Woodrow Wilson
Music, also, the architect ought to understand so that he may have knowledge of the canonical and mathematical theory, and besides be able to tune ballistae, catapultae, and scorpiones to the proper key. For to the right and left in the beams are the holes in the frames through which the strings of twisted sinew are stretched by means of windlasses and bars, and these strings must not be clamped and made fast until they give the same correct note to the ear of the skilled workman.
Vitruvius
I bought a doughnut and they gave me a receipt for the doughnut; I don't need a receipt for the doughnut. I'll just give you the money, and you give me the doughnut, end of transaction. We don't need to bring ink and paper into this. I just can't imagine a scenario where I would have to prove that I bought a doughnut. Some skeptical friend: "Don't even act like I didn't get that doughnut! I got the documentation right here...oh, wait it's at home...in the file...under 'D', for doughnut."
Mitch Hedberg
