Borders Of Infinity Quotes

Sleeping and waking lost their edges. Healing and being ill too. It was difficult if not impossible to draw a line between them. ~ James S.A. Corey

The stage has been reached where our armed forces should withdraw beyond the borders It's not the end. It's the start of a new era. ~ Abdullah Ocalan

Memories are better than life. Nothing I'm part of is good until later. I love what time does. I make decisions on the basis of sensing what will produce the best memory. They're my finest works: all that multidimensional and liquid maze of experience minus the fear and uncertainty, or with the fear and uncertainty changed to something else. Because they're already finished. I made them up and they comprise me. It's as if experience is only the dark, chaotic factory where these little infinity jewels are pressed into being. Everyone is the poet of their memories. Usually it's better to get things over with so you have the memory. But like the best poems, they're also never really finished because they gain new meaning as time reveals them in different lights. Maybe every memory is inside you from the beginning; they erupt and branch and merge in fantastic patterns, but if you really tried you could trace any one of them back to the same original. Maybe the best ones are all the same: of being born. Or dying, or whatever it is. ~ Richard Hell

Speciation does not necessarily promote evolutionary change; rather, speciation 'gathers in' and guards evolutionary change by locking and stabilization for sufficient geological time within a Darwinian individual of the appropriate scale. If a change in a local population does not gain such protection, it becomes-to borrow Dawkins's metaphor at a macroevolutionary scale-a transient duststorm in the desert of time, a passing cloud without borders, integrity, or even the capacity to act as a unit of selection, in the panorama of life's phylogeny. ~ Stephen Jay Gould

We let 50,000 Jewish intellectuals get across the border. Just as I wanted Lebensraum for Germany, I thought Jews should have a Lebensraum for themselves
outside of Germany. ~ Alfred Rosenberg

The heart of our relationship, this natural environment that has blessed us really all along the west coast of North America, on both sides of the border we've realized that this incredible natural wealth comes with a price. ~ Dan Miller

Scientists often invent words to fill the holes in their understanding. These words are meant as conveniences until
real understanding can be found. Sometimes understanding comes and the temporary words can be replaced with words
that have more meaning. More often, however, the patch words will take on a life of their own and no one will remember that they were only intended to be placeholders. ~ Scott Adams

I've been so used to thinking of what the borders are keeping out that I haven't considered that they're also penning us in. ~ Lauren Oliver

The border between good and evil passes not outside of us but within us ~ Pope Francis

Recall Part 3c's mention of how Cantor took what had been regarded as a paradoxical, totally unhandlable feature of (Infinity)-namely that an infinite set/class/aggregate can be put into a one-to-one correspondence with its own subset-and transformed it into the technical def. of infinite set. Watch how he does the same thing here, turning what appear to be devastating objections into rigorous criteria, by defining a set S as any aggregate of collection of discrete entities that satisfies two conditions: (1) S can be entertained by the mind as an aggregate, and (2) There is some stated rule or condition via which one can determine, for any entity x, whether or not x is a member of S. ~ David Foster Wallace

I believe the people of Arizona and the people of America are fed up with the federal government. The bottom line is, is that they need to secure our borders. And in regards to Senate Bill 1070, what a disappointment! It hasn't been divisive; it has united Arizona! It has united America! ~ Jan Brewer

Finnish forests: Let us remind the satellite pictures of the 1970's winter in which the old forest appeared black and young forest and cut downs white. Already then the Finnish borders were like drawn on the map: White Finland between black Karelian and black Sweden. Finnish Forest Research Institute hicced up some time and then decided that the pictures are fake ... ~ Pentti Linkola

Who was it who said, "I hold the buying of more books than one can peradventure read, as nothing less than the soul's reaching towards infinity; which is the only thing that raises us above the beasts that perish?" Whoever it was, I agree with him. ~ A. Edward Newton

We, the weird and sideways folk, have always walked the line of rejection. It's what makes us visionaries. We who are pushed away, to the edge, can see beyond the borders of reality. We frighten the privileged with our possibility. ~ G.L. Carriger

Scientifically, I know beginnings don't exist. The world is made of energy, which is neither created nor destroyed. Everything she is was here before me. Everything she was will remain. Her existence touches both my past and my future at one point - infinity. Lifelines aren't lines at all. They're more like circles. It's safe to start anywhere and the story will curve its way back to the starting point. Eventually. In other words, it doesn't matter where I begin. It doesn't change the end. ~ Shannon Lee

The only thing that I am completely certain of after this experience is that I am no longer afraid of death. ~ Michael Blain

An echo is a good way to describe the photogram, which is a visual echo of the real object. That's why I like to work with the photogram, because the contact with what is represented is actual. It's as if the border between the world and the print is osmotic. ~ Adam Fuss

If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all. ~ Bertrand Russell

You know, James Franco is one of the most interesting figures because he has no rules. He breaks all the borders. ~ Marina Abramovic

Debasement was limited at first to one's own territory. It was then found that one could do better by taking bad coins across the border of neighboring municipalities and exchanging them for good with ignorant common people, bringing back the good coins and debasing them again. More and more mints were established. Debasement accelerated in hyper-fashion until a halt was called after the subsidiary coins became practically worthless, and children played with them in the street, much as recounted in Leo Tolstoy's short story, Ivan the Fool. ~ Charles P. Kindleberger

The area occupied by the Christians in Syria and Palestine, called Outremer because of its location beyond the Mediterranean Sea, was a thin coastal strip extending from Armenia in the north to the borders of the Fatimid caliphate of Egypt in the south. By 1109, the Christian territory was divided into four large states: the Kingdom of Jerusalem, extending from Gaza to Beirut; the County of Tripoli, from Beirut to Margat; the Principality of Antioch, from Margat to Alexandria; and the County of Edessa, which stretched northeast all the way to present-day Urfa. These Latin states were governed by noble courts in much the same way as their counterparts in Europe. They were often rocked by dynastic disputes, which, together with the scarcity of available troops and the latent threat of Muslim attack, put the security of the Christian population in a constant state of uncertainty. ~ Barbara Frale

You use the word "Infinity" very glibly ... Have you ever been there? Time and space are extensions of the mind, the will. Which means that infinity is a purely local phenomenon. You can turn over a stone and find it crawling there. Or you can make it yourself out of whatever materials are at hand. ~ Mike Carey

You come from the depths of infinity
and from all directions of space-time.
Every atom in you comes
from a different star,
every cell are made
of celestial radiation.
You're the smile of
no birth and no death.
You are the Great Poetry. ~ Alexis Karpouzos

A woman's friendship borders more closely on love than man's. Men affect each other in the reflection of noble or friendly acts; whilst women ask fewer proofs and more signs and expressions of attachment. ~ Samuel Taylor Coleridge

People have to share everything they do these days, from meals, to nights out, to selfies of themselves half naked in a mirror
The borders between public and private are dissolving ~ Bernardine Evaristo

I have a dog that loves to fight. It's a border collie, and they fight low to the ground. Other dogs are terrified of my dog, because he gets low and goes for the balls. ~ Jeremy Hotz

Sometimes we need a wise guide to peel back the ceiling of our lives to remind us that infinity never places any limits on our skies. ~ Curtis Tyrone Jones

The news in those days was full of war and migrants and nativists, and it was full of fracturing too, of regions pulling away from nations, and cities pulling away from hinterlands, and it seemed that as everyone was coming together everyone was also moving apart. Without borders nations appeared to be becoming somewhat illusory, and people were questioning what role they had to play. ~ Mohsin Hamid

That was the same week my physics teacher taught my class the concept of infinity. I cried about it every night for months. ~ Vendela Vida

The loss of young first love is so painful that it borders on the ludicrous. ~ Maya Angelou

The melancholy of the antique world seems to me more profound than that of the moderns, all of whom more or less imply that beyond the dark void lies immortality. But for the ancients that 'black hole' is infinity itself; their dreams loom and vanish against a background of immutable ebony. No crying out, no convulsions - nothing but the fixity of the pensive gaze.

With the gods gone, and Christ not yet come, there was a unique moment, from Cicero to Marcus Aurelius, when man stood alone. Nowhere else do I find that particular grandeur. ~ Gustave Flaubert

If you are to believe that there are an infinite amount of universes with an infinite amount of possible variations on the laws of nature, then you are forced to admit that it is quite certain that in one of these parallel worlds dragons exist. ~ Lewis N. Roe

It takes an obsessive streak that borders on lunacy to go rummaging around in the past as memoirists are wont to do, particularly a fragmented or incendiary past, in which facts are sparse and stories don't match up. I don't know if memoirists as children are lied to more often as kids or only grow up to resent it more, but it does seem we often come from the ranks of orphans or half-orphans-through-divorce, trying to heal schisms inside ourselves. Like everybody, I suppose, people we loved broke our hearts because only they had access to them, and we broke our own hearts later by following their footsteps and reenacting their mistakes. ~ Mary Karr

There is an infinity of political errors which, being once adopted, become principles. ~ Guillaume-Thomas Francois Raynal

The only way to comprehend what mathematicians mean by Infinity is to contemplate the extent of human stupidity. ~ Voltaire

In a museum in El Paso, Texas, there's a map that shows all the places the border between the U.S. and Mexico has been (because it shifted) - I find it very clarifying (not confusing) to be reminded that everything we feel like we've really pinned down is transient, arbitrary, and marks the site of a painful if not violent negotiation, one that may not have ended. ~ Laura Mullen

Theology created the fiction of Satan which represents the revolt if an infinite being against the existence of an absolute infinity, against God. ~ Mikhail Bakunin

The world is getting noisier. We've gone from boomboxes to Walkmen to portable CD players to iPods to any song we want, whenever we want it. We've gone from the four television channels of my childhood to the seeming infinity of cable and streaming. As technology moves us faster and faster through time and space, it seems to feel like story is getting pushed out of the way, I mean, literally pushed out of the narrative. But even as our engagement with stories change, or the trappings around it morph from book to audio to Instagram to Snapchat, we must remember our finger beneath the words. Remember that story, regardless of the format, has always taken us to places we never thought we'd go, introduced us to people we never thought we'd meet and shown us worlds that we might have missed. So as technology keeps moving faster and faster, I am good with something slower. My finger beneath the words has led me to a life of writing books for people of all ages, books meant to be read slowly, to be savored. ~ Jacqueline Woodson

Americans are rightly concerned about the security and the integrity of the nation's borders because the system is broken. Some are concerned about the possibility of terrorists crossing our borders and coming into our cities. ~ Chris Cannon

For me, trees have always been the most penetrating preachers. I revere them when they live in tribes and families, in forests and groves. And even more I revere them when they stand alone. They are like lonely persons. Not like hermits who have stolen away out of some weakness, but like great, solitary men, like Beethoven and Nietzsche. In their highest boughs the world rustles, their roots rest in infinity; but they do not lose themselves there, they struggle with all the force of their lives for one thing only: to fulfil themselves according to their own laws, to build up their own form, to represent themselves. Nothing is holier, nothing is more exemplary than a beautiful, strong tree. When a tree is cut down and reveals its naked death-wound to the sun, one can read its whole history in the luminous, inscribed disk of its trunk: in the rings of its years, its scars, all the struggle, all the suffering, all the sickness, all the happiness and prosperity stand truly written, the narrow years and the luxurious years, the attacks withstood, the storms endured. And every young farmboy knows that the hardest and noblest wood has the narrowest rings, that high on the mountains and in continuing danger the most indestructible, the strongest, the ideal trees grow.

Trees are sanctuaries. Whoever knows how to speak to them, whoever knows how to listen to them, can learn the truth. They do not preach learning and precepts, they preach, undeterred by particulars, the anci ~ Hermann Hesse

And I felt an incredible excitement at being able to witness the love reemerge inside her, because it was a total, prime-of-life love. The kind that could only be possible in someone who was going to die at some point in the future, and also someone who had lived enough to know that loving and being loved back was a hard thing to get right, but when you managed it, you could see forever. Two mirrors, opposite and facing each other at perfectly parallel angles, viewing themselves through the other, the view as deep as infinity. ~ Matt Haig

But my view is that you need a system at the border. You need some fencing but you need technology. You need boots on the ground. And then you need to have interior enforcement of our nation's immigration laws inside the country. And that means dealing with the employers who still consistently hire illegal labor. ~ Janet Napolitano

That is the earth, he thought. Not a globe thousands of kilometers around, but a forest with a shining lake, a house hidden at the crest of a hill, high in the trees, a grassy slope leading upwards from the water, fish leaping and birds strafing to take the bugs that lived at the border between water and sky. Earth was the constant noise of crickets, and winds, and birds ~ Orson Scott Card

The cultural and political backgrounds of the two sides diverge in important aspects. The American approach to policy is pragmatic; China's is conceptual. America has never had a powerful threatening neighbor; China has never been without a powerful adversary on its borders. Americans hold that every problem has a solution; Chinese think that each solution is an admission ticket to a new set of problems. Americans seek an outcome responding to immediate circumstances; Chinese concentrate on evolutionary change. Americans outline an agenda of practical "deliverable" items; Chinese set out general principles and analyze where they will lead. Chinese thinking is shaped in part by Communism but embraces a traditionally Chinese way of thought to an increasing extent; neither is intuitively familiar to Americans. China ~ Henry Kissinger

Theories about world literature, of which fairy tale is a fundamental part, emphasize the porousness of borders, geographical and inguistic: no frontiercan keep a good story from roaming. It will travel, and travel far, and travel back again in a different guise, a changed mood, and, above all, a new meaning. ~ Marina Warner

Years have passed, I suppose. I'm not really counting them anymore. But I think of this thing often: Perhaps there is a Golden Age someplace, a Renaissance for me sometime, a special time somewhere, somewhere but a ticket, a visa, a diary-page away. I don't know where or when. Who does? Where are all the rains of yesterday?
In the invisible city?
Inside me?
It is cold and quiet outside and the horizon is infinity. There is no sense of movement.
There is no moon, and the stars are very bright, like broken diamonds, all. ~ Roger Zelazny