Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next. — Gregory Bateson
Bless us, divine number, who generated gods and men. Number contains the root and source of eternally flowing creation. — Pythagoras
Wherever there is a number, there is beauty. — Proclus
Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity. — Andrew Wiles
All things were together, infinite both in number and in smallness; for the small too was infinite. — Anaxagoras
I don't want the horse to get trained, because training the horse is absolutely finite. But if you get the horse to where he operates as if to be your legs, an extension of you, you've far-exceeded that whole training notion. — Buck Brannaman
Anyone who believes in indefinite growth on a physically finite planet is either mad or an economist — David Attenborough
Each finite creature can reflect only a fraction of the divine nature; thus, in the diversity of His creatures, God's infinity, unity and oneness appear to be broken into an effulfgence of manifold rays. — Edith Stein
Faith is an act of a finite being who is grasped by, and turned to, the infinite. — Paul Tillich
The experience of life in a finite, limited body is specifically for the purpose of discovering and manifesting supernatural existence. — Pythagoras
Money is numbers and numbers never end. If it takes money to be happy, you search for happiness will never end.
Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist. — Kenneth E. Boulding
Just as fossil fuels from conventional sources are finite and are becoming depleted, those from difficult sources will also run out. If we put all our energy and resources into continued fossil fuel extraction, we will have lost an opportunity to have invested in renewable energy. — David Suzuki
To romanticize the world is to make us aware of the magic, mystery and wonder of the world; it is to educate the senses to see the ordinary as extraordinary, the familiar as strange, the mundane as sacred, the finite as infinite. — Novalis
We are all insane. That is what original sin means. Sin is insanity. It is preferring finite joy to infinite joy, creatures to the Creator, an unhappy, Godless self to a happy, God-filled self Only God can save us from this disease. That is what the name "Jesus" means: 'God saves'. — Peter Kreeft
And if physics says that we can transverse an infinite number of points in a finite amount of time, then that’s what we’ll do regardless of the mathematics. — Naval Ravikant
However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes. — David Hilbert
I believe that the Good Lord gave us a finite number of heartbeats and I'm damned if I'm going to use up mine running up and down a street. — Neil Armstrong
A man is rich in proportion to the number of things he can afford to let alone.
Life is not a continuous process, there's some sort of finite number of achievements that defines your life. — Bill Gates
Beyond a critical point within a finite space, freedom diminishes as numbers increase. This is as true of humans as it is of gas molecules in a sealed flask. The human question is not how many can possibly survive within the system, but what kind of existence is possible for those who so survive. — Frank Herbert
Definitions must contain the means of reaching a decision in a finite number off steps, and existence proofs must be conducted so that the quantity in question can be calculated with any degree of accuracy. — Leopold Kronecker
The first rule of economics is that there is an infinite number of desires chasing a finite number of goods, services and resources. The first rule of politics is to ignore the first rule of economics. — Thomas Sowell
The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. — Georg Cantor
I haven't seen any claim that Piraha lacks recursion, that is, that there are a finite number of sentences or sentence frames. If that's so, it would mean that the speakers of this language aren't making use of a capacity that they surely have, a normal situation; plenty of people throughout history would drown if they fall into water. — Noam Chomsky
Internet TV and the move to the digital approach is quite revolutionary. TV has historically has been a broadcast medium with everybody picking from a very finite number of channels. — Bill Gates
When I was in college, for the games of that era, I was as hard core as anyone was. I wouldn't say I outgrew it, but you always have to have a finite number of addictions. — Bill Gates
Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does. — Lucio Russo
Death is always on the way, but the fact that you don't know when it will arrive seems to take away from the finiteness of life. It's that terrible precision that we hate so much. But because we don't know, we get to think of life as an inexhaustible well. Yet everything happens a certain number of times, and a very small number, really. How many more times will you remember a certain afternoon of your childhood, some afternoon that's so deeply a part of your being that you can't even conceive of your life without it? Perhaps four or five times more. Perhaps not even. How many more times will you watch the full moon rise? Perhaps twenty. And yet it all seems limitless. — Paul Bowles
We each have a finite number of heartbeats, a finite amount of time. But we have enough heartbeats and enough time to do what is important. — Susan L. Taylor
I understand and sympathize with the reasonable needs of a reasonable number of people on a finite continent. All life depends upon other life. But what is happening today, in North America, is not rational use but irrational massacre. Man the Pest, multiplied to the swarming stage, is attacking the remaining forests like a plague of locusts on a field of grain. — Edward Abbey
It is known that there is an infinite number of worlds, but that not every one is inhabited. Therefore, there must be a finite nuber of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so if every planet in the Universe has a populations of zero then the entire population of the Universe must also be zero, and any people you may actually meet from time to time are merely the products of a deranged imagination. — Douglas Adams
Hundreds upon hundreds of news outlets - okay, thousands - are interested in following the happenings at the White House. Yet the number of news sources at the White House - people who know what's happening - is finite. Dozens maybe. With that imbalance hanging over the enterprise, it's hard for a group of reporters competing against one another to secure the upper hand. — Erik Wemple
Maybe you could even think 100,000 people are inside each human being. And you drop a novel on that person, and a certain number of those sub-people come alive or get reenergized for some finite time. — George Saunders
Every photograph is a realization of one of the possibilities contained within the program of the camera. The number of such possibilities is large, but it is nevertheless finite. It is the sum of all those photographs that can be taken by a camera. — Douglas Huebler
Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number. — Paul Dirac
All truths are erroneous. This is the very essence of the dialectical process: today's truths become errors tomorrow; there is no final number. This truth (the only one) is for the strong alone. Weak-nerved minds insist on a finite universe, a last number; they need, in Nietzsche's words, "the crutches of certainty". The weak-nerved lack the strength to include themselves in the dialectic syllogism. — Yevgeny Zamyatin
Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. — Vladimir Arnold
Even the standard example of ancient nonsense - the debate about angels on pinheads - makes sense once you realize that theologians were not discussing whether five or eighteen would fit, but whether a pin could house a finite or an infinite number. — Stephen Jay Gould
What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers. — Georg Cantor
In theory, there is nothing the computer can do that the human mind can not do. The computer merely takes a finite amount of data and performs a finite number of operations upon them. The human mind can duplicate the process — Isaac Asimov
Molly Notkin often confides on the phone to Joelle van Dyne about the one tormented love of Nokin's life thus far, an erotically circumscribed G.W. Pabst scholar at New York University tortured by the neurotic compulsion that there are only a finite number of erections possible in the world at any one time and that his tumescence means e.g. the detumescence of some perhaps more deserving or tortured Third World sorghum farmer. — David Foster Wallace
Photography is a system of visual editing. At bottom, it is a matter of surrounding with a frame a portion of one's cone of vision, while standing in the right place at the right time. Like chess, or writing, it is a matter of choosing from among given possibilities, but in the case of photography the number of possibilities is not finite but infinite. — John Szarkowski
By the time the last few notes fade, his hope will be restored, but each time he's force to resort to the Adagio it becomes harder, and he knows its effect is finite. There are only a certain number of Adagios left in him, and he will not recklessly spend this precious currency. — Steven Galloway
In Conclusion
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