Proofs Quotes

Cardinal arithmetic will be quite important for us, so we spend some time on it. Since, however, it tends to be trivial, we shall not need to spend much of this time on proofs. ~ Keith Devlin

God has the Big Book, the beautiful proofs of mathematical theorems are listed here. ~ Paul Erdos

In a Jewish theological seminar there was an hours-long discussion about proofs of the existence of God. After some hours, one rabbi got up and said, "God is so great, he does not even need to exist." ~ Victor Frederick Weisskopf

The Chinese food arrives. Delicious saliva fills his mouth. He really hasn't had any since Texas. He loves this food that contains no disgusting proofs of slain animals, a bloody slab of cow haunch, a hen's sinewy skeleton; these ghosts have been minced and destroyed and painlessly merged with the shapes of insensate vegetables, plump green bodies that invite his appetite's innocent gusto. Candy. ~ John Updike

She chose books because they never left her lonely the way that Kirk had left her lonely. BEcause company was often nothing of the kind, whereas a good book always was.
She chose books for the smell of fresh-pressed pages, for the yellow-brown musk of library mould, but always for the breathy kiss of paper rustling. She chose books because some of the held prose that made her weep, or poetry that winded her, and words that mae her heart skip beats.
She chose books because some came readey-made with characters that seemed like perfect versions of hrself, all of them little proofs that somehow, somewhere, it might just be possible for her to be better: to be popular, powerful, sexy and smart.
She chose books because they lied to her with more conviction than people ever had. ~ Dan Micklethwaite

An administration without a police executive is powerless and there were many proofs of this. ~ Hans Frank

We want no proofs. We ask none to believe us! This boy will some day know what a brave and gallant woman his mother is. Already he knows her sweetness and loving care. Later on he will understand how some men so loved her, that they did dare much for her sake."

Excerpt From: Stoker, Bram. "Dracula." iBooks.
This material may be protected by copyright.

Check out this book on the iBookstore: https://itunes.apple.com/WebObjects/M... ~ Bram Stoker

Actually, the "leap of faith" - to give it the memorable name that Soren Kierkegaard bestowed upon it - is an imposture. As he himself pointed out, it is not a "leap" that can be made once and for all. It is a leap that has to go on and on being performed, in spite of mounting evidence to the contrary. This effort is actually too much for the human mind, and leads to delusions and manias. Religion understands perfectly well that the "leap" is subject to sharply diminishing returns, which is why it often doesn't in fact rely on "faith" at all but instead corrupts faith and insults reason by offering evidence and pointing to confected "proofs." This evidence and these proofs include arguments from design, revelations, punishments, and miracles. Now that religion's monopoly has been broken, it is within the compass of any human being to see these evidences and proofs as the feeble-minded inventions that they are. ~ Christopher Hitchens

No one seeing a beautifully elaborated lyre with its harmonious, orderly arrangement, and hearing the lyre's music will fail to form a notion of its craftsman-player, to recur to him in thought though ignorant of him by sight. In this way the creative power, which moves and safeguards its objects, is clear to us, though it be not grasped by the understanding. Anyone who refuses to progress this far in following instinctive proofs must be wanting in judgment. But still, whatever we imagined or figured to ourselves or reason delineated is not the reality of God. ~ Gregory Of Nazianzus

There is no tongue to speak his eulogy; Too brightly burned his splendor for our eyes; Far easier to condemn his injurers, Than for the tongue to reach his smallest worth, He to the realms of sinfulness came down, To teach mankind, ascending then to God, Heaven unbarred to him her lofty gates, To whom his country heres refused to ope. Ungrateful land! Well, too, does this instruct That greatest ills fall to the perfectest. And, midst a thousand proofs, let this suffice- That, as his exile had no parallel, So never was there man more great than he. ~ Michelangelo

There are three sources of belief: reason, custom, inspiration. The Christian religion, which alone has reason, does not acknowledge as her true children those who believe without inspiration. It is not that she excludes reason and custom. On the contrary, the mind must be open to proofs, must be confirmed by custom, and offer itself in humbleness to inspirations, which alone can produce a true and saving effect ~ Robert M. Bowman Jr.

Any good theorem should have several proofs, the more the better ~ Michael Atiyah

Obstinacy and heat in argument are surest proofs of folly. Is there anything so stubborn, obstinate, disdainful, contemplative, grave, or serious, as an ass? ~ Michel De Montaigne

Tricks and treachery are merely proofs of lack of skill. ~ Francois De La Rochefoucauld

One can be enlightened about proofs as well as theorems. Without enlightenment, one is merely reduced to memorizing proofs. With enlightenment about a proof, its flow becomes clear and it can become an item of astonishing beauty. In addition, the need to memorize disappears because the proof has become part of your soul. ~ Herbert S. Gaskill

Q: Why bother doing proofs about programming languages? They are almost always boring if the definitions are right.
A: The definitions are almost always wrong.

- Anonymous ~ Benjamin C. Pierce

I don't think much new ever happens. Most of us spend our days the same way people spent their days in the year 1000: walking around smiling, trying to earn enough to eat, while neurotically doing these little self-proofs in our head about how much better we are than these other slobs, while simultaneously, in another part of our brain, secretly feeling woefully inadequate to these smarter, more beautiful people. ~ George Saunders

It is certain that those who have the living faith in their hearts see at once that all existence is none other than the work of the God whom they adore. But for those in whom this light is extinguished, [if we were to show them our proofs of the existence of God] nothing is more calculated to arouse their contempt ... ~ Blaise Pascal

The Bible never encourages blind faith. God provides both rational and empirical proofs to confirm His word. ~ Domenic Marbaniang

No body wishes more than I do to see such proofs as you exhibit, that nature has given to our black brethren, talents equal to those of the other colors of men, and that the appearance of a want of them is owing merely to the degraded condition of their existence, both in Africa & America. ~ Thomas Jefferson

The doctrine of the atonement is to my mind one of the surest proofs of the divine inspiration of Holy Scripture. ~ Charles Haddon Spurgeon

The encouragement and the deepening of Eucharistic worship are proofs of the authentic renewal which the Council set itself as an aim and of which they are the central point. ~ Pope John Paul II

I think one of the sweetest proofs we have of the Father's loving care for us is that we often find in this life the things which gave us great happiness below. ~ Rebecca Ruter Springer

No statistical proofs exist that prayer reduces illness and mortality, except perhaps through a psychogenic enhancement of the immune system; if it were otherwise the whole world would pray continuously. ~ E. O. Wilson

Sometimes I write less than I'd like but do research. Other times, editor's notes or a copy-edited manuscript or page proofs for a forthcoming novel mean that I need to put my attentions elsewhere for a day or two, but I always come back to writing. ~ Jane Lindskold

Countrymen: I have given proofs, as well as the best of you, of desiring liberty for our country, and I continue to desire it. But I place as a premise the education of the people, so that by means of instruction and work they may have a personality of their own and that they may make themselves worthy of that same liberty. In my writings I have recommended the study of the civic virtues, without which there can be no redemption. I have also written (and my words have been repeated) that reforms, to be fruitful, must come from above, that those which spring from below are uncertain and insecure movements. Imbued with these ideas, I cannot do less than condemn, and I do condemn, this absurd, savage rebellion, planned behind my back, which dishonors the Filipinos and discredits those who can speak for us. I abominate all criminal actions and refuse any kind of participation in them, pitying with all my heart the dupes who have allowed themselves to be deceived. Go back, then, to your homes, and may God forgive those who have acted in bad faith. ~ Jose Rizal

It's specifically this Z = 2^(Aleph0) that he couldn't prove. Ever. Despite years of unimaginable doodling. Whether it's what unhinged him or not is an unanswerable question, but it is true that his inability to prove the C.H. caused Cantor pain for the rest of his life; he considered it his great failure. This too, in hindsight, is sad, because professional mathematicians now know exactly why G. Cantor could neither prove nor disprove the C.H. The reasons are deep and important and go corrosively to the root of axiomatic set theory's formal Consistency, in rather the same way that K. Godel's Incompleteness proofs deracinate all math as a formal system. Once again, the issues here can be only sketched or synopsized (although this time Godel is directly involved, so the whole thing is probably fleshed out in the Great Discoveries Series' Godel booklet). ~ David Foster Wallace

Naturally, the significant results that legitimize a mathematical theory take time to derive, and then even more time to be fully accepted, and of course throughout this time the Insanity-v.-Genius question remains undecided, probably even for the mathematician himself, so that he's developing his theory and cooking his proofs under conditions of enormous personal stress and doubt, and sometimes isn't even vindicated in his own lifetime, etc. ~ David Foster Wallace

I'm haunted. We all are, I guess. We're parentless, friendless, unloved, abandoned. The spirits of our deceased emotional anchors and proofs of existence will follow and demean us until we too roam a quiet lifeless world alongside them - unable to speak - our histories written in beach sand. ~ Jason S. Hornsby

If I shall be condemned Upon surmises, all proofs sleeping else But what your jealousies awake, I tell you 'Tis rigor and not law. ~ William Shakespeare

But we [women] are only at the beginning [of revamping feminism]. And our strictures on each other prove this. Our enforcement of thinness, of non-sexuality, of 'good' feminism versus 'bad' feminism, are proofs of our being at the beginning, not the end of a process. That younger feminists are embracing their sexuality is a sign of hope
a sign that women's lives will some day be less constricted, less fearful of the dark side of creativity (to which Eros provides the key). If that happens, we will at least have the full gamut of inspiration so long denied us. We will have access to all parts of ourselves
all the animals within us, from wolf to lamb. When we learn to love all the animals within us, we will know how to make men love them too. ~ Erica Jong

The proofs of the existence of God are to such an extent fallen into discredit that they pass for something antiquated, belonging to days gone by. ~ Georg Wilhelm Friedrich Hegel

Proofs exist only in mathematics and logic, not in science. ~ Satoshi Kanazawa

Obstinacy and vehemency in opinion are the surest proofs of stupidity. ~ Bernard Barton

Some proofs command assent. Others woo and charm the intellect. They evoke delight and an overpowering desire to say, 'Amen, Amen'. ~ John William Strutt

If there are no self-evident first principles, as a foundation for reasoning to conclusions that are not immediately apparent, how can you construct any kind of a philosophy? If you have to prove even the basic axioms of your metaphysics, you will never have a metaphysics, because you will never have any strict proof of anything, for your first proof will involve you in an infinite regress, proving that you are proving what you are proving and so on, into the exterior darkness where there is wailing and gnashing of teeth. If Descartes thought it was necessary to prove his own existence by the fact that he was thinking, and that his though therefore existed in some subject, how did he prove that he was thinking in the first place? But as to the second step, that God must exist because Descartes had a clear idea of him – that never convinced me, then or at any other time, or now either. There are much better proofs for the existence of God than that one. ~ Thomas Merton

I have always differentiated between two types of friends; those who want proofs of friendship, and those who do not. One kind loves me for myself and the others for themselves. ~ Gerard De Nerval

The conversation between Faithful and Talkative ends when Faithful challenges Talkative to show in his life the fruits of the truths he so easily talks about. This conversation exposes the matter, and the false pilgrim is soon separated from the true pilgrim.
To cry out against sin but to tolerate it comfortably in the heart is an equation that sums up the false pretense of Talkative. The work of grace in the heart offers proofs that cannot be denied. The eloquent Talkative simply lacks the experiential work of grace in his heart.
Again, Christians should be warned not to judge too quickly, since many Christians struggle with sin and surrender in the battlefield of life and often fail. The important thing to understand is that God will always produce a fruitful life in those He has conquered and occupies. The same Lord will disqualify those whose religion is only talk by ordaining that their life lacks the abundance of genuine good fruit while bad fruit abounds.
5. ~ John Bunyan

I stood on the street corner. I thought about chasing after her, but she was churning swiftly through the neighborhood -- she was already almost a block away -- so instead I entered a coffee shop. This is why I was on the street. I was going to a coffee shop, and I was buying a coffee, and then I was walking to class, and then I would teach, and then during office hours I would reassure the students who needed reassuring, and I would be tough on the students who could take it, and if someone cried in my office for reasons unrelated but maybe sort of related to the imperfect short story they'd written, I would tell them that fiction makes you cry, the fiction you read though more often it's the shitty fiction you write that makes you cry, and I would also be thinking, You poor person, you have no idea what awaits you. A life awaits you, like a serious fucking life. This is what I would want to say. And then I would go home to my serious fucking life, and it would be so ridiculously unserious; it would involve soup spills and dirty dishes and lengthy logic proofs meant to coerce tired, inarticulate people to bed, and I would think how lucky I was to have this unserious life, i.e., to be forced to do somewhat or even thoroughly banal things every day. Because what awaits you if you don't? What kind of life awaits you then? A life where you don't calmly think, as you're scraping up the crystallized juice rings before showering before getting dressed before buying coffee before te ~ Heidi Julavits

A man may be a Bah' in name only. If he is a Bah' in reality, his deeds and actions will be decisive proofs of it. What are the requirements? Love for mankind, sincerity toward all, reflecting the oneness of the world of humanity, philanthropy, becoming enkindled with the fire of the love of God, attainment to the knowledge of God and that which is conducive to human welfare. ~ Abdu'l- Baha

Any Christianity that rests upon a dichotomy - some sort of platonic concept - simply does not have an answer to nature, and we must say with tears that much orthodoxy, much evangelical Christianity, is rooted in a platonic concept, wherein the only interest is in the "upper story", in the heavenly things - only in "saving the soul" and getting it to heaven. In this platonic concept, even though orthodox and evangelical terminology is used, there is little or no interest in the proper pleasures of the body or the proper uses of the intellect. In such a Christianity there is a strong tendency to see nothing in nature beyond its use as one of the classic proofs of God's existence. "Look at nature," we are told; "Look at the Alps. God must have made them." And that is the end. Nature has become merely an academic proof of the existence of the Creator, with little value in itself. Christians of this outlook do not show an interest in nature itself. They use it simply as an apologetic weapon, rather than thinking or talking about the real value of nature. ~ Francis A. Schaeffer

Our conflict is not likely to cease so soon as every good man would wish. The measure of iniquity is not yet filled; and unless we can return a little more to first principles, and act a little more upon patriotic ground, I do not know when it will-or-what may be the issue of the contest. Speculation-peculation-engrossing-forestalling-with all their concomitants, afford too many melancholy proofs of the decay of public virtue; and too glaring instances of its being the interest and desire of too many, who would wish to be thought friends, to continue the war. ~ George Washington

Science...how beautiful science was - that it was one of the proofs of God's presence. All that order out of chaos. ~ Jim Kelly

It is a very risky thing for anyone to go about proclaiming the truth simply because he finds himself in possession of concrete documentary proofs or on the evidence of his own eyes, which is always overestimated. ~ Jorge Amado

ATHENA: There are two sides to this dispute. I've heard only one half the argument. ( ... ) So you two parties, summon your witnesses, set out your proofs, with sworn evidence to back your stories. Once I've picked the finest men in Athens, I'll return. They'll rule fairly in this case, bound by a sworn oath to act with justice. ~ Aeschylus

I don't have a lot of paper in my immediate work environment, except when I'm doing things like checking the godforsaken proofs. ~ Jonathan Lethem

Central heating, French rubber goods and cookbooks are three amazing proofs of man's ingenuity in transforming necessity into art, and, of these, cookbooks are perhaps most lastingly delightful. ~ M.F.K. Fisher

Photographs provided a tangible reality to men who were far from home, fearful and tired; they were posed proofs of success, souvenirs to send to sweethearts and loved ones, or simply ways of remembering, of grasping a moment in a swift changing and uncertain world. ~ Michael Crichton

There are a few things that you have to understand - I cannot give any proofs for them, they are beyond proofs. Only your experience will give you the proof. ~ Osho

And your doubt may become a good quality if you train it. It must become knowing, it must become critical. Ask it, whenever it wants to spoil something for you, why something is ugly, demand proofs from it, test it, and you will find it perplexed and embarrassed perhaps, or perhaps rebellious. But don't give in, insist on arguments and act this way, watchful and consistent, every single time, and the day will arrive when from a destroyer it will become one of your best workers
perhaps the cleverest of all that are building at your life. ~ Rainer Maria Rilke

To those who live in the narrow circle of human interests and human feelings, there ever exists, unheeded, almost unnoticed, before their very eyes, the most humbling proofs of their own comparative insignificance in the scale of creation, which, in the midst of their admitted mastery over the earth and all it contains, it would be well for them to consider, if they would obtain just views of what they are and what they were intended to be. ~ James Fenimore Cooper

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

We shall be compelled to renounce the hope of finding philosophical proofs of religious beliefs ... Hence, once more, the value of philosophy must not depend upon any supposed body of definitely ascertainable knowledge to be acquired by those who study it. ~ Bertrand Russell

My countrymen, I have given proofs that I am one most anxious for liberties for our country, and I am still desirous of them. But I place as a prior condition the education of the people, that by means of instruction and industry our country may have an individuality of its own and make itself worthy of these liberties. ~ Jose Rizal

I am falsely accused, without proof, of using my position for personal profit. Many who accuse me have lifestyles and spending habits that make them walking proofs of that crime. ~ Gloria Macapagal-Arroyo

The Prussian Academy of Sciences is a fast-track academic institute that requires a proactive, hands-on-type individual to overthrow the Newtonian conception of the universe. The successful candidate will have an excellent command of mass, energy, space, time and some maths. Bonus paid upon completion of proofs ~ Albert Einstein

The supposed astronomical proofs of the theory [of relativity], as cited and claimed by Einstein, do not exist. He is a confusionist. The Einstein theory is a fallacy. The theory that ether does not exist, and that gravity is not a force but a property of space can only be described as a crazy vagary, a disgrace to our age. ~ Charles Lane Poor

Literature is without proofs. By which it must be understood that it cannot prove, not only what it says, but even that it is worth the trouble of saying it. ~ Roland Barthes

We exist, and are quoted, as standing proofs that a government, so modeled as to rest continually on the will of the whole society, is a practicable government. ~ Thomas Jefferson

The proofs that God does not exist are very strong, but in lots of people they are not as strong as the feeling that He does. ~ John Steinbeck

I confess that reading proofs is a pleasure. It stimulates and inspires me. ~ Zane Grey

In 1931, Kurt Godel proved in his famous second incompleteness theorem that there could be no finitary proof of the consistency of arithmetic. He had killed Hilbert's program with a single stroke.

So should you be worried that all of mathematics might collapse tomorrow afternoon? For what it's worth, I'm not. I do believe in infinite sets, and I find the proofs of consistency that use infinite sets to be convincing enough to let me sleep at night. ~ Jordan Ellenberg

The very people who burst with proofs of exuberant vitality could easily be taken for prepared corpses, from whom the news of their not-quite-successful decease has been withheld for reasons of population policy. Underlying the prevalent health is death. All the movements of health resemble the reflex-movements of beings whose hearts have stopped beating. ~ Theodor Adorno

On the whole, however, the conclusions I have drawn from the proofs quoted may, I believe, safely be relied on. Assuredly they will not be disturbed either by the lays of a poet displaying the exaggeration of his craft, or by the compositions of the chroniclers that are attractive at truth's expense; the subjects they treat of being out of the reach of evidence, and time having robbed most of them of historical value by enthroning them in the region of legend. ~ Thucydides

F He presented himself alive to them after his suffering by many proofs, appearing to them during forty days and speaking about the kingdom of God. ~ Anonymous

The ancient image of God whispers within every man of everlasting hope; somewhere he will continue to exist. Still he cannot rejoice, for the light that lighteth every man that cometh into the world troubles his conscience, frightening him with proofs of guilt and evidences of coming death. So is he ground between the upper millstone of hope and the nether stone of fear. ~ A.W. Tozer

Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? Where does the proof use the hypothesis? ~ Paul Halmos

With respect to the words "general welfare," I have always regarded them as qualified by the detail of powers connected with them. To take them in a literal and unlimited sense would be a metamorphosis of the Constitution into a character which there is a host of proofs was not contemplated by its creators. ~ James Madison

Early in 1955 Flannery completed work on her second book, a collection of these stories which she entitled A Good Man Is Hard to Find. In January we sent it to press, having set publication for June. I remember our amusement at Evelyn Waugh's reaction to the advance proofs we sent him: If these stories are in fact the work of a young lady, they are indeed remarkable. ~ Flannery O'Connor

Trifles light as air are to the jealous confirmations strong as proofs of holy writ. ~ William Shakespeare

The first unquestionable proofs of the transformation of elements into different chemical elements have been provided by the study of the phenomena of radioactivity. ~ Frederic Joliot-Curie

Friendship is never established as an understood relation. It is a miracle which requires constant proofs. It is an exercise of the purest imagination and of the rarest faith! ... ~ Henry David Thoreau

Tell Max that it concerns the Sandman. Tell him I have two proofs and can bring them with me. ~ John Le Carre

You cannot be dissatisfied, without virtually saying that God might order things better; you cannot say that he might order things better, without virtually demanding that he change his course of acting, and give other proofs of his infinite perfections. And thus you tempt him, tempt him even as did the Israelites in the wilderness. ~ Charles Haddon Spurgeon

Many of the proofs in mathematics are very long and intricate. Others, though not long, are very ingeniously constructed. ~ Edward Charles Titchmarsh

Most people desperately desire to believe that they are a part of a great mystery, that Creation is a work of grace and glory, not merely the result of random forces colliding. Yet each time that they are given but one reason to doubt, a worm in the apple of the heart makes them turn away from a thousand proofs of the miraculous, whereupon they have a drunkard's thirst for cynicism, and they feed upon despair as a starving man upon a loaf of bread. ~ Dean Koontz

Natural Theology says not only look up and look out-it also says look down and look in, and you will find the proofs of the reality of God in the depth of your own nature. ~ Christopher Dawson

By looking after his relatives' interests as he did, Napoleon furthermore displayed incredible weakness on the purely human level. When a man occupies such a position, he should eliminate all his family feeling. Napoleon, on the contrary, placed his brothers and sisters in posts of command, and retained them in these posts even after they'd given proofs of their incapability. All that was necessary was to throw out all these patently incompetent relatives. Instead of that, he wore himself out with sending his brothers and sisters, regularly every month, letters containing reprimands and warnings, urging them to do this and not to do that, thinking he could remedy their incompetence by promising them money, or by threatening not to give them any more. Such illogical behaviour can be explained only by the feeling Corsicans have for their families, a feeling in which they resemble the Scots. By thus giving expression to his family feeling, Napoleon introduced a disruptive principle into his life. Nepotism, in fact, is the most formidable protection imaginable : the protection of the ego. But wherever it has appeared in the life of a State - the monarchies are the best proof - it has resulted in weakening and decay. Reason : it puts an end to the principle of effort.
In this respect, Frederick the Great showed himself superior to Napoleon - Frederick who, at the most difficult moments of his life, and when he had to take the hardest decisions, never forgot that things are ca ~ Adolf Hitler

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations. ~ David Hilbert

The people who hire all these things done for them never know what they lose, for the homeliest tasks get beautified if loving hands do them, and Meg found so many proofs of this that everything in her small neatness from the kitchen roller to the silver vase on her parlor table was eloquent of home love and tender forethought. ~ Louisa May Alcott

Since inequalities of privilege are greater than could possibly be defended rationally, the intelligence of privileged groups is usually applied to the task of inventing specious proofs for the theory that universal values spring from, and that general interests are served by, the special privileges which they hold. ~ Reinhold Niebuhr

The well-intentioned mothers who don't want their children polluted by fairy tales would not only deny them their childhood, with its high creativity, but they would have them conform to the secular world, with its dirty devices. The world of fairy tale, fantasy, myth, is inimical to the secular world, and in total opposition to it, for it is interested not in limited laboratory proofs but in truth. ~ Madeleine L'Engle

Too many proofs spoil the truth. ~ Peter Greenaway

The art of drawing conclusions from experiments and observations consists in evaluating probabilities and in estimating whether they are sufficiently great or numerous enough to constitute proofs. This kind of calculation is more complicated and more difficult than it is commonly thought to be ... ~ Antoine Lavoisier

Nash's genius was of that mysterious variety more often associated with music and art than with the oldest of all sciences. It wasn't merely that his mind worked faster, that his memory was more retentive, or that his power of concentration was greater. The flashes of intuition were non-rational. Like other great mathematical intuitionists - Georg Friedrich Bernhard Riemann, Jules Henri Poincaré, Srinivasa Ramanujan - Nash saw the vision first, constructing the laborious proofs long afterward. ~ Sylvia Nasar

In my view the study of fairy origins assumes a greater degree of importance than popular opinion is wont to concede to it. Indeed, the ideas associated with it strike at the very roots of human belief and primitive methods of reasoning. It is scarcely to be questioned that the explanation of fairy origins is of the utmost value to the better comprehension of primitive religion. Later it will be made clear that, for the writer at least, the whole tradition of Faerie reveals quite numerous and excellent proofs of its former existence as a primitive and separate cult and faith, more particularly as regards its appearance and tradition in these islands. ~ Lewis Spence

Thus the terrible insurrection was crushed. Tantia Topee, betrayed by his lieutenant Man-Singh, and condemned to death, was executed on the 15th of April, at Sipfee. This rebel, "this truly remarkable actor in the great drama of the Indian insurrection," says M. de Valbezen, "and one who gave proofs of a political genius full of resources and daring," died courageously on the scaffold. This ~ Jules Verne

Here are the basic principles of Constructivism as practiced by Kronecker and codified by J.H. Poincare and L.E.J. Brouwer and other major figures in Intuitionism: (1) Any mathematical statement or theorem that is more complicated or abstract than plain old integer-style arithmetic must be explicitly derived (i.e. 'constructed') from integer arithmetic via a finite number of purely deductive steps. (2) The only valid proofs in math are constructive ones, with the adjective here meaning that the proof provides a method for finding (i.e., 'constructing') whatever mathematical entities it's concerned with. ~ David Foster Wallace

We modern people think of miracles as the suspension of the natural order, but Jesus meant them to be the restoration of the natural order. The Bible tells us that God did not originally make the world to have disease, hunger, and death in it. Jesus has come to redeem where it is wrong and heal the world where it is broken. His miracles are not just proofs that he has power but also wonderful foretastes of what he is going to do with that power. Jesus' miracles are not just a challenge to our minds, but a promise to our hearts, that the world we all want is coming. ~ Timothy Keller

The key word in Acts 1:3 is alive. Jesus showed Himself alive. Here are some of the infallible proofs He showed to verify His resurrection. ~ Ralph V. Reynolds

Taste has no system and no proofs. ~ Susan Sontag

I should mention something that nobody ever thinks about, but proofreading takes a lot of time. After you write something, there are these proofs that keep coming, and there's this panicky feeling that 'This is me and I must make it better.' ~ John Updike

The idea was that we would decide the order when we looked at the proofs. I remember Brion Gysin saying "Well, why change it? It's perfect the way it is, the way it came from the printer." Made one major change, that is, the first chapter that came from the printers, which would be the beginning, we moved to the end. The first chapter became the last chapter. There's no actual cutups in Naked Lunch. ~ William S. Burroughs

Longer I live, the more convincing proofs I see of this truth: "that God governs in the affairs of man." And if a sparrow cannot fall to the ground without His notice, is it probable that an empire can rise without His aid? ~ Peter Marshall

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible. ~ Carl Friedrich Gauss

When we speak of man, we have a conception of humanity as a whole, and before applying scientific methods to the investigation of his movement we must accept this as a physical fact. But can anyone doubt to-day that all the millions of individuals and all the innumerable types and characters constitute an entity, a unit? Though free to think and act, we are held together, like the stars in the firmament, with ties inseparable. These ties cannot be seen, but we can feel them. I cut myself in the finger, and it pains me: this finger is a part of me. I see a friend hurt, and it hurts me, too: my friend and I are one. And now I see stricken down an enemy, a lump of matter which, of all the lumps of matter in the universe, I care least for, and it still grieves me. Does this not prove that each of us is only part of a whole?
For ages this idea has been proclaimed in the consummately wise teachings of religion, probably not alone as a means of insuring peace and harmony among men, but as a deeply founded truth. The Buddhist expresses it in one way, the Christian in another, but both say the same: We are all one. Metaphysical proofs are, however, not the only ones which we are able to bring forth in support of this idea. Science, too, recognizes this connectedness of separate individuals, though not quite in the same sense as it admits that the suns, planets, and moons of a constellation are one body, and there can be no doubt that it will be experimentally confirmed in times t ~ Nikola Tesla

He (Mohammed) seduced the people by promises of carnal pleasure to which the concupiscence of the flesh urges us. His teaching also contained precepts that were in conformity with his promises, and he gave free rein to carnal pleasure. In all this, as is not unexpected; he was obeyed by carnal men. As for proofs of the truth of his doctrine, he brought forward only such as could be grasped by the natural ability of anyone with a very modest wisdom. Indeed, the truths that he taught he mingled with many fables and with doctrines of the greatest falsity. ~ Thomas Aquinas

I knew he was angry by this token. When I read when he wrote about women I thought, not of what he was saying, but of himself. When an arguer argues dispassionately he thinks only of the argument; and the reader cannot help thinking of the argument too. If he had written dispassionately about women had he used indisputable proofs to establish his argument and had shown no trace of wishing that the result would be one thing rather than another, one would not have been angry either. ~ Virginia Woolf

I smell guilt. There is a stench of guilt upon the air.
I see you all, whole and healthy, with your powers intact - such prompt appearances! - and I ask myself ... why did this band of wizards never come to the aid of their master, to whom they swore eternal loyalty? And I answer myself, they must have believed me broken, they thought I was gone. They slipped back among my enemies, and they pleaded innocence, and ignorance, and bewitchment ...
And then I ask myself, but how could they have believed I would not rise again? They, who knew the steps I took, long ago, to guard myself against mortal death? They, who had seen proofs of the immensity of my power in the times when I was mightier than any wizard living? And I answer myself, perhaps they believed a still greater power could exist, one that could vanquish even Lord Voldemort ... perhaps they now pay allegiance to another ... ~ J.K. Rowling

The success of a meeting often depends on having the right documents - proofs, artwork, schedules, research charts, etc. - present at the start of the meeting. All too often we arrive like plumbers, leaving our tools behind. ~ David Ogilvy