Proofs Without Words Quotes & Sayings

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. — Yoko Ogawa

The best way to contribute to a brand-new environment is not by trying to prove what a wonderful addition you are. It's by trying to have a neutral impact, to observe and learn from those who are already there, and to pitch in with the grunt work wherever possible. — Chris Hadfield

Proofs are to mathematics what spelling (or even calligraphy) is to poetry. Mathematical works do consist of proofs, just as poems do consist of words. — V. I. Arnold

A therapist has to have clear boundaries, even with former clients. People already get into our heads - if they also get into our lives, there's a problem. — Louise Penny

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

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

Best putdown of a copy editor ever award goes to Raymond Chandler, who, in a 1947 letter to the editor of the Atlantic Monthly, wrote: By the way, would you convey my compliments to the purist who reads your proofs and tell him or her that I write in a sort of broken-down patois which is something like the way a Swiss waiter talks, and that when I split an infinitive, God damn it, I split it so it will stay split, and when I interrupt the velvety smoothness of my more or less literate syntax with a few sudden words of barroom vernacular, this is done with the eyes wide open and the mind relaxed but attentive. — Raymond Chandler

The part of it of which rationalism can give an account is relatively superficial. It is the part that has the prestige undoubtedly, for it has the loquacity, it can challenge you for proofs, and chop logic, and put you down with words. But it will fail to convince or convert you all the same, if your dumb intuitions are opposed to its conclusions. — William James

It has been observed before that images, however beautiful, though faithfully copied from nature, and as accurately represented in words, do not of themselves characterize the poet. They become proofs of original genius only as far as they are modified by a predominant passion; or by associated thoughts or images awakened by that passion; or when they have the effect of reducing multitude to unity, or succession to an instant; or lastly, when a human and intellectual life is transferred to them from the poet's spirit. — Samuel Taylor Coleridge

"There is no deception now, Mr. Weller. Tears," said Job, with a look of momentary slyness, "tears are not the only proofs of distress, nor the best ones." — Charles Dickens

Every argument for God and every attribute ascribed to Him rests on a false metaphysical premise. None can survive for a moment on a correct metaphysics ...
Existence exists, and only existence exists. Existence is a primary: it is uncreated, indestructible, eternal. So if you are to postulate something beyond existence - some supernatural realm - you must do it by openly denying reason, dispensing with definitions, proofs, arguments, and saying flatly, "To Hell with argument, I have faith." That, of course, is a willful rejection of reason.
Objectivism advocates reason as man's sole means of knowledge, and therefore, for the reasons I have already given, it is atheist. It denies any supernatural dimension presented as a contradiction of nature, of existence. This applies not only to God, but also to every variant of the supernatural ever advocated or to be advocated. In other words, we accept reality, and that's all. — Leonard Peikoff

There is a spiritual side to me that goes real deep, but I confess right up front that I'm the biggest sinner of them all. — Johnny Cash

I have like 10 different processes I go to. My favorite one is to just go to an obscure neighborhood I haven't been to in decades and just wander around. — Robert Sietsema

Christ taught us truth; the Devil teaches us falsehood, and strives in every way to contradict every truth; devising various calumnies against it. — John Of Kronstadt

In the end one only experiences oneself. — Friedrich Nietzsche