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Thus I perceive by pure thought that the essence of matter consists in extension, in that which constitutes the object of geometry, in that magnitude which is divisible, figurable, and movable.
"The plates into which the substance is divisible have been formed in succession, and certain intervals of time have elapsed between their formation; in general, every two contiguous laminae are separated by a thin iridescent film, varying from the three to the fifty millionth part of an inch in thickness, and producing all the various colours of thin plates which correspond to intermediate thicknesses: between some of the laminae no such film exists, probably in consequence of the interval of time between their formation being too short; and between others the film has been formed of unequal thickness.
The intellectual suggestion of the infinity of nature can, moreover, be awakened by other experiences which are by no means sublime. A heap of sand will involve infinity as surely as a universe of suns and planets. Any object is infinitely divisible and, when we press the thought, can contain as many worlds with as many winged monsters and ideal republics as can the satellites of Sirius.
All money is a divisible title-deed, of immense importance as an expression of right to property, but absolutely valueless as property itself. Thus, supposing a nation isolated from all others, the money in its possession is, at its maximum value, worth all the property of the nation, and no more, because no more can be got for it.
Now what may be increased is not infinite, for the infinite can have no bound; and what is capable of augmentation is bounded on the side a man stops, when he might go further and add some units to it. It is plain, therefore, that no divisible compound can be the true infinite.
But we must remember that apparent time the time presented in any single experience of duration is never infinitely divisible; and that real time, in any save a relative sense of the word, is not a single experience of duration at all. It is a recognition of the fact that experiences of duration may be substituted for each other without assignable limit.
How much more an infinite number of those infinitely small parts of extension, which are still supposed infinitely divisible. The absurdity of these bold determinations of the abstract sciences seems to become, if possible, still more palpable with regard to time than extension.
Now twenty-five years' purchase of the divisible profits, which at the date of the Commission, were £1,690,000, would amount to over £42,000,000, and if in addition sums had to be raised for "prospects," purchase of lines paying no dividend, special provision for prior stocks standing at a premium, redemption of guarantees, and the large sums required for the extensions and improvements we have mentioned, a sum not less than £50,000,000, and probably nearer £55,000,000, would be required.
'Not quite so bad, he said, with the encouraging smile which could persuade a friend to put away bilious visions. 'Of the two, if you two are divisible, we could better dispense with him. She'll slip him, she's an eel.
And ye shall know that I am the Lord, when I have opened your graves, O my people, and brought you up out of your graves, and shall put my Spirit in you, and ye shall live, and I shall place you in your own land: then shall ye know that I the Lord have spoken it, and performed it, saith the Lord. Ezekiel xxxvii, 1-14. It is manifestly divisible into two portions.
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