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For the mathematical sciences, when properly studied, move the inherent knowledge of the soul; awaken its intelligence; purify its dianoetic power; call forth its essential forms from their dormant retreats; remove that oblivion and ignorance which are congenial with our birth; and dissolve the bonds arising from our union with an irrational nature.
When he presented himself at the entrance of Nelson's Cafe the young merchant had been fuming and chafing in the sitting-room for five and twenty minutes. It was a dingy apartment, with a single large horse-hair chair and half a dozen small wooden dittoes, placed with mathematical precision along the walls.
In the four or five others, taken at random as circumstances supplied them, he met with aptitudes unequal, it is true, but easily developed and giving the impression that they exist normally, latent and inactive, at the bottom of every equine soul. From the mathematical point of view, is the horse's subliminal consciousness then superior to man's? Why not?
In this realm of mental relations, truth again is an affair of leading. We relate one abstract idea with another, framing in the end great systems of logical and mathematical truth, under the respective terms of which the sensible facts of experience eventually arrange themselves, so that our eternal truths hold good of realities also. This marriage of fact and theory is endlessly fertile.
Ubiquitous rebellion against tradition, a new standard of clear and precise thought which affects even literary expression, a flow of mathematical and physical discoveries so rapid that ten years added more to the sum of knowledge than all that had been added since the days of Archimedes, the introduction of organised co-operation to increase knowledge by the institution of the Royal Society at London, the Academy of Sciences at Paris, Observatories realising Bacon's Atlantic dream characterise the opening of a new era.
Nicholl could not contain himself at this reply; threw out hints of cowardice; that a man who refused to fire a cannon-shot was pretty near being afraid of it; that artillerists who fight at six miles distance are substituting mathematical formulae for individual courage.
He had not come home since he had obtained his high place in the mathematical lists: that Molly knew; and she knew, too, that he was working hard for something she supposed a fellowship and that was all. Osborne's tone in speaking of him was always the same: every word, every inflexion of the voice breathed out affection and respect nay, even admiration!
It was the misfortune to science in those days, not only that all books and mathematical instruments were enormously dear, but that the students, still struggling into light, through the glorious delusions of alchemy and mysticism, imagined that, even in simple practical operations, there were peculiar virtues in virgin gold and certain precious stones.
When the boys came to the obstacle, they made no difficulty of creeping under or jumping over it; but for the magisterial Mr Root, fully powdered; or the classical master, full of Greek; or the mathematical master, conscious of much Algebra, to creep under these desks, would have been infra dig, and for them to have leapt over was impossible.
If he had not been a remarkably patient, prudent, temperate and altogether practical man his disorder would have consumed him long before that time. It gave him no margin for wilfulness. Except when he spoke in public, his life was regulated with mathematical accuracy. There was something almost death-like in his self-control, and yet at times that also had to give way.
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