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What the mathematician tells us about real points and real lines has no bearing on the constitution of the single experience and its parts. Thus, when he tells us that between any two points on a line there are an infinite number of other points, he only means that we may expand the line indefinitely by the system of substitutions described above.
How could men be roused to insurrection, for the sake of a liberty whose very name they did not understand? What influence could be obtained over a people almost savages, without property, and without wants? What could be taken from them? With what could they be tempted? Their only property was their life, which they carried with them into regions of almost infinite space."
With infinite tenderness he possessed himself of her hands and began stroking her hair, and in a low and soothing voice the story of the birds, flowers, lake, and woods went on. To keep it from growing monotonous the Harvester branched out and put in everything he knew. In the days that followed he held a position none could take from him.
During the whole meal M. Lacordaire attended assiduously to his neighbour; and did so without any evil result, except that one Frenchman with a black moustache, at the head of the table, trod on the toe of another Frenchman with another black moustache winking as he made the sign just as M. Lacordaire, having selected a bunch of grapes, put it on Mrs. Thompson's plate with infinite grace.
There was no mistaking the reality of his words, the genuine pity and tenderness of his action; but the woman saw before her only the familiar dupe of her life, and felt an infinite relief mingled with a certain contempt for his weakness and anger at her previous fears of him.
Now, however, owing to the labours of the mathematicians, notably Georg Cantor, it has appeared that the impossibility of infinite collections was a mistake. They are not in fact self-contradictory, but only contradictory of certain rather obstinate mental prejudices.
Up the valley, now ruddy gold with the changing colors of autumn, white-capped mountains looked down from amid the infinite silences; and below, broad vistas of brown prairie and silver ribbons of running water.
Can it do something for me? He saw me. He thought, 'I shall not be quite alone. This monk he has lived always in peace, he has never known the torture of women. Might not intercourse with him help me? "Such was his history, such was the history poured, with infinite detail that I have not told you, day by day, into my ears. It was the history, you see, of a passion that was mainly physical.
An ungraceful manner of speaking, awkward motions, and a disagreeable address, are great clogs to the ablest man of business, as the opposite qualifications are of infinite advantage to him. I am told there is a very good dancing-master at Leipsig.
Then the open sea, with infinite spaces of shining blue, and a wake of pearl and silver following the ship. Dreams and moonbeams and starry twilights, from the other side of the world here, my dear, I give them all to you." She offered Rosemary the cup as she concluded and the girl smiled back at her happily.
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