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Proof Quotes

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Proof Quotes

“The woods are lovely, dark, and deep but I have promises to keep...”

“It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the rigour of the proofs. But many mathematicians seem to have so little feeling for logical purity and accuracy that they will use a word to mean three or four different things, sooner than make the frightful decision to invent a new word.”

“Men ablaze are invincible. Hell trembles when men kindle. The stronghold of Satan is proof against everything but fire. The Church is powerless without the flame of the Holy Ghost. Destitute of fire, nothing else really counts; possessed of fire, nothing else really matters. The one vital need is fire. Without the flame and fervour of the Holy Ghost the Church will never accomplish its mission.”

“As not every instance of similitude can be considered as a proof of imitation, so not every imitation ought to be stigmatised as plagiarism. The adoption of a noble sentiment, or the insertion of a borrowed ornament, may sometimes display so much judgment as will almost compensate for invention; and an inferior genius may, without any imputation of servility, pursue the paths of the ancients, provided he declines to tread in their footsteps.”

“Although logging workouts seems to be a very simple action, it is often forgotten. Once several days go by, it is hard to remember what was done on a particular day. After working out for several months, you will feel an unbelievable sense of achievement when flipping through the pages of the log book. You should also notice a sign of improvement. 'Material proof' can be great motivation and will encourage you to keep on going.”

“Frequent and violent temptations were a proof that the citadel of the soul had not fallen and that the devil raged to make it fall.”

“But there's a fourth interpretation: Obama can't leave his comfort zone. No president since Woodrow Wilson has been as enamored of abstract ideas or more sure that disagreement with him is proof of ignorance, bad faith or dogmatism. As a candidate, he insisted his real opponent was 'cynicism,' and in his address last week, he returned to this trite formulation, insisting again he was bravely battling the cynics.”

“So, what exactly is the News-Press' unforgivable crime? Calling illegal aliens 'illegals' in a headline for a story about illegal aliens descending on California DMVs. A new law went into effect last Friday allowing illegal aliens to obtain driver's licenses without proof of lawful residence. The article featured interviews with ecstatic illegal aliens, including one who has been in the country illegally for '22 years.'”

“A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.”

“My photographs are proof of what happened. When I go to Russia, sometimes I meet ex-soldiers... They say, 'We came to liberate you....' I say: 'Listen, I think it was quite different. I saw people being killed.' They say: 'No. We never... no shooting. No. No.' So I can show them my Prague 1968 photographs and say, 'Listen, these are my pictures. I was there.' And they have to believe me.”

“For those who need a name, there's a gift basket of medical terms. All I know is cutting made me feel safe. It was proof. Thoughts and words, captured where I could see them and track them. The truth, stinging, on my skin, in a freakish shorthand. Tell me you're going to the doctor, and I'll want to cut worrisome on my arm. Say you've fallen in love and I buzz the outlines of tragic over my breast. I hadn't necessarily wanted to be cured.”

“Anarchism, in my view, is an expression of the idea that the burden of proof is always on those who argue that authority and domination are necessary. They have to demonstrate, with powerful argument, that that conclusion is correct. If they cannot, then the institutions they defend should be considered illegitimate. How one should react to illegitimate authority depends on circumstances and conditions: there are no formulas.”

“The truly correct proof is one that strikes a harmonious balance between strength and flexibility. There are plenty of proofs that are technically correct but are messy and inelegant or counterintuitive. But it's not something you can put into words - explaining why a formula is beautiful is like trying to explain why the stars are beautiful.”

“In a democracy - even if it is a so-called democracy like our white-?litist one - the greatest veneration one can show the rule of law is to keep a watch on it, and to reserve the right to judge unjust laws and the subversion of the function of the law by the power of the state. That vigilance is the most important proof of respect for the law.”

“But ordinarily you think otherwise: you think if you are silent you will be sad. Ordinarily you think, how can you avoid sadness if you are silent? I tell you, the silence that exists with sadness cannot be true. Something has gone wrong. You have missed the path, you are off the track. Only celebration can give proof that the real silence has happened.”

“There is a warning here for true pilgrims. Beware of the talker, but also be careful not to judge too quickly those whom God has blessed with both genuine grace and a fluency to speak of divine mercy in ways more eloquent than others. The proof is in the life-not a perfect life, but a life that both delights in divine truth and magnifies God, the only giver of the sovereign grace that always produces the truly fruitful, fragrant life.”

“No value is higher than self-esteem, but you've invested it in counterfeit securities-and now your morality has caught you in a trap where you are forced to protect your self-esteem by fighting for the creed of self-destruction. The grim joke is on you: that need of self-esteem, which you're unable to explain or to define, belongs to my morality, not yours; it's the objective token of my code, it is my proof within your own soul.”

“Doing what you want to do is life; and there is no real satisfaction in living if we are compelled to be forever doing something which we do not like to do, and can never do what we want to do. And it is certain that you can do what you want to do; the desire to do it is proof that you have within you the power which can do it. Desire is a manifestation of power.”

“[M]y first published book had just appeared in stores. The last year of my life-the year of finishing it, editing it, and seeing it through its various page-proof passes-ranks among the most unnerving of my young life. It has not felt good, or freeing. It has felt nerve-shreddingly disquieting. Publication simply allows one that much more to worry about. This cannot be said to aspiring writers often or sternly enough. Whatever they carry within themselves they believe publication cures will not, I can all but guarantee, be cured. You just wind up with new diseases.”

“I have to make about a million proofs of everything. I don’t know, it’s just a repetition, like a meditation. You come back to something and then you leave it, and then you come back again and you leave it, and each time it changes. And sometimes you have to wait for new information inside yourself to be able to finish something, to find out how it should go.”

“Really believe in yourself, and that no matter what anyone says to you, if you really have a dream and the passion - go for it! If you're willing to go through the rigors to get it, it will happen. It may not happen in your timeframe, but it will happen. I'm living proof of that. I was once on the other end of the spectrum, and now I'm living my dream. What doesn't kill you makes you stronger.”

“The life we led was a proof of man's capacity for adaptation.I think that even the condemned souls in purgatory after time develop a sort of homely routine.That is ,by the way, why most prison memoirs are unreadable.The difficulty of conveying to the reader an idea of a nightmare world from which he has emerged makes the author depict the prisoner's state of mind as an uninterruped continuity of despair.He fears to appear frivolous or to spoil his effect by admitting that even in the depths of misery cheerfulness keeps breaking in.”

“As the twentieth century began, science equaled a materialistic worldview. As the twenty-first century began, the worldview of science, at least of physics and astronomy, may have traded place with that of religion. Consider Einstein's famous equation E = mc2. Nothing of matter dies but continues on in another form, elsewhere. The church divines and theologians for two thousand years have devised arguments and "proofs" of immortality but nothing equal to this.”