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The day that navigation, now a routine, shall become a mathematic; the day we shall, for instance, seek to know why it is that in our regions hot winds come sometimes from the north, and cold winds from the south; the day we shall understand that diminutions of temperature are proportionate to oceanic depths; the day we realize that the globe is a vast loadstone polarized in immensity, with two axes an axis of rotation and an axis of effluvium intersecting each other at the centre of the earth, and that the magnetic poles turn round the geographical poles; when those who risk life will choose to risk it scientifically; when men shall navigate assured from studied uncertainty; when the captain shall be a meteorologist; when the pilot shall be a chemist; then will many catastrophes be avoided.
And yet we know of an author viz., one S. T. Coleridge who repeated that same doctrine without finding any evil in it. Malthus again, in his population-book, contends for a mathematic difference between animal and vegetable life, in respect to the law of increase, as though the first increased by geometrical ratios, the last by arithmetical!
At first she refused, but after a while she said: "I'll see what I can do, if you are really not happy where you are." From 11 to 12 was the mathematic lesson, and as soon as Frau Doktor Steiner had taken her place she said: "This arrangement of your seats was only provisional. You had better sit more according to height."
And accordingly at the end of this very chapter we find M. Taine driven straightway to change classic for mathematic in describing the method of the new learning. And the latter description is much better, for it goes beneath the surface of literary expression, important as that is, down to the methods of reasoning.
In constructing another paragraph she began to ask herself whether or not she had ended the story. She wasn't sure how one would know about such things that were so lacking of scientific or mathematic certainties.
For Kant, science was a universal mathematic and metaphysics a practically unaltered Platonism. The synthetic Intuition was hidden by the analysis to which it had given rise. For Kant, Intuition was infra- intellectual, but for Bergson it is supra-intellectual.
She was invariably first in everything, and I usually came in a bad third. Well, we'd had an arithmetic exam, one day, pretty stiff, but not more so than usual, and on this particular morning at eleven o'clock we were waiting to hear the result. The Mathematic Master was a lamb so keen, and humorous, and just a rageur at times, but that was only to be expected.
Such, therefore, as is space for the grandeur of man's perceptions, such as is space for the benefit of man's towering mathematic speculations, such is the nature of our debt to Lord Rosse as being the philosopher who has most pushed back the frontiers of our conquests upon this exclusive inheritance of man.
Ford did not stop there, he did not expect Starratt to take his word for anything. He reached for a pencil and pad and he went into a mathematic demonstration to show just how near the edge of financial disaster the firm of Ford, Wetherbee & Co. had been pushed. Starratt could not doubt the figures, and yet his eyes traveled instinctively to the bag of golf sticks in a convenient corner.
He was so idle as regards "problems mathematic," and "barbarous Latin," that it is matter of surprise to learn that he was able to take his degree, as he did in March, 1808.
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