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Closely related to the problem of the parallel postulate is the problem of whether physical space is infinite. Euclid assumes in Postulate 2 that a straight-line segment can be extended as far as necessary; he uses this fact, but only to find a larger finite length—for example in Book I, Propositions 11, 16, and 20. For these proofs Heron gave new proofs that avoided extending the lines, in order to meet the objection of anyone who would deny that the space was available for the extension.
Morris Kline
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From infinite probable acts, comma, only one can be physically experienced as a rule, period. The dream world operates as a creative situation in which probable acts are instantly materialized, laid out in actual or symbolic form. From these you then choose the most appropriate for physical expression.
Jane Roberts
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Above all, a plant, an oak for example, is an animal. An enormous animal in which live parasites or rather symbionts, an infinite multitude of small microscopic green organisms, of the species of unicellular "algae," cyano-phyceae.
Konstantin Mereschkowski
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They weave a slow andante as in sleep,
Scaled yellow, swampy black, plague-spotted white;
With blue and lidless eyes at watch they keep
A treachery of silence; infinite.
Arthur Symons
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True ignorance approaches the infinite more nearly than any amount of knowledge can do, and, in our case, ignorance is fortified by a certain element of nineteenth-century indifference which refuses to be interested in what it cannot understand; a violent reaction from the thirteenth century which cared little to comprehend anything except the incomprehensible.
Henry Adams
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Things that are real are given and received in Silence. God has been everlastingly working in Silence, unobserved, unheard, except by those who experience His Infinite Silence.
Meher Baba
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The sharp knife of dawn glitters in my hand but how bare is everything-tall tall tree infinite air, the unrelaxing tension of the world and only hope, hope only, the kind eagle soars and wheels in flight.
Martin Carter
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Each man has a mission in life, which is the result of all his infinite past Karma.
Swami Vivekananda
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Women have become so obsessed with not withering, they've forgotten that there are infinite ways to be beautiful.
Maureen Dowd
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There are realms of reality or — more exactly — of abstraction from reality in which the most complete detachment is the adequate cognitive approach. Everything which can be expressed in terms of quantitative measurement has this character. But it is most inadequate to apply the same approach to reality in its infinite concreteness. A self which has become a matter of calculation and management has ceased to be a self. It has become a thing. You must participate in a self in order to know what it is. But by participating you change it. In all existential knowledge both subject and object are transformed by the very act of knowing.
Paul Tillich
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The world is now rapidly advancing in light, in knowledge, in power to use the infinite gifts that the Creator has hidden in nature; but hidden only to stimulate and reward our seeking. Every man can help in this grand progress,—if not by research and positive thought-power, at least by grateful acceptance and realization of what is gained. Look forward!
Elisha Gray
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I have always been interested in oval or ovoid shapes. The first carvings were simple realistic oval forms of the human head or of a bird. Gradually my interest grew in more abstract values – the weight, poise and curvature of the ovoid as a basic form. The carving and piercing of such a form seems to open up an infinite variety of continuous curves in the third dimension, changing in accordance with the contours of the original ovoid and with the degree of penetration of the material. Here is a sufficient field for exploration to last a lifetime…
Barbara Hepworth
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You wouldn't die in here, nothing ever dies in here, but if you stayed here for too long, after a while just a little of you would exist everywhere, all spread out. And that's not a good thing. Never enough of you all together in one place, so t here wouldn't be anything left that would think of itself as an 'I.' No point of view any longer, because you'd be an infinite sequence of views and of points...
Neil Gaiman
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There are times in the history of men and nations, when they stand so near the vale that separates mortals from the immortals, time from eternity, and men from their God, that they can almost hear the beatings, and feel the pulsations of the heart of the Infinite.
James A. Garfield
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The past, the infinite greatness of the past! For what is the present, after all, but a growth out of the past.
Walt Whitman
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The Deists, and unbelievers, have a great share of my compassionate affections, and I never can think, or write of the infinite blessings of the Christian redemption, without feeling in my heart, an impatient longing to see them the happy partakers of them. And as one naturally believes, what one strongly wishes; so I cannot help hoping, that both Christians and Deists will here find truths of such a nature, as must in some degree touch their hearts, if not read with prejudice and aversion. OF THE Nature and Necessity OF R E G E N E R A T I O N, OR, THE N E W - B I R T H.
William Law
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... any move made in a state of tension will be of more important, and will have more results, than it would have made in a state of eqilibrium. In times of maximum tension this importance will rise to an infinite degree.
Carl von Clausewitz
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If I have a system it is limited to a recognition of what Kierkegaard called 'the infinite qualitative distinction' between time and eternity
Karl Barth
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I am convinced that when Nietzsche came to Switzerland and went insane, it was not because of venereal disease, though he did have this disease. Rather, it was because he understood that insanity was the only philosophic answer if the infinite-personal God does not exist.
Francis Schaeffer
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Human beings have an almost infinite capacity for adapting to the expectations around us — which is both the good news and the bad news.
Gloria Steinem
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I closed my eyes again, thinking of the Face. I had to force my mind to turn around in its tracks and look, for it didn't want to confront that infinite complexity again. The Face was painful to see. It was too intricate, too involved with emotions complex beyond our grasp. It was painful for the mind to think of it, straining to understand the inscrutable things that experience had etched upon those mountain-high features.
"Is it a portrait?" I asked suddenly. "Or a composite? What is the Face?"
"A city," De Kalb said. "A nation. The ultimate in human destiny — and a call for help. And much more that we'll never understand."
Henry Kuttner
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The hypothesis you refer to as God, though not disprovable by logic alone, is unnecessary for the following reason.
If you assume that the universe can be quote explained unquote as the creation of an entity known as God, he must obviously be of a higher degree of organization than his product. Thus you have more than doubled the size of the original problem, and have taken the first step on a diverging infinite regress. William of Ockham pointed out as recently as your fourteenth century that entities should not be multiplied unnecessarily. I cannot therefore understand why this debate continues.
Arthur C. Clarke
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God is represented as infinite, eternal, incomprehensible; he is contained under every predicate in non that the logic of ignorance could fabricate.
Percy Bysshe Shelley
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Europe in its infinite wisdom decided to deal with this bankruptcy by loading the largest loan in human history on the weakest of shoulders … What we've been having ever since is a kind of fiscal waterboarding that has turned this nation into a debt colony.
Yanis Varoufakis
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Who can measure the love Christ felt for a lost world, as he hung upon the cross, suffering for the sins of guilty men? This love was immeasurable. It was infinite.
Ellen G. White
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Quote of the day
One does not need buildings, money, power, or status to practice the Art of Peace. Heaven is right where you are standing, and that is the place to train.
Morihei Ueshiba
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