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Updated: May 9, 2025
These bordered on one of the water-highways of civilisation; a great fleet passed annually in their view, and of the shipwrecks of the world they were the scene and cause of a proportion wholly incommensurable to their size. In one year, 1798, my grandfather found the remains of no fewer than five vessels on the isle of Sanday, which is scarcely twelve miles long.
We do not act in ways that bring the greatest happiness, but we ought to. We do not consciously seek happiness, and we ought not to. We ought to continue to care for THINGS and for IDEALS; but the things and ideals we care and work for ought to be such that through them man's welfare is advanced. Are pleasures and pains incommensurable?
What he saw, certainly, was greater far in mere physical proportion, and incommensurable at first by anything he knew the volume of the wrought detail, the mass of the component members, the bigness of the actual stones of the masonry, contrary to the usual Gothic manner, and as if in reminiscence of those old Druidic piles amid which the Virgin of Chartres had been adored, long before the birth of Christ, by a mystic race, possessed of some prophetic sense of the grace in store for her.
The Pythagoreans knew the properties of parallels and proved the theorem that the sum of the three angles of any triangle is equal to two right angles. Lastly, the Pythagoreans discovered the existence of the incommensurable or irrational in the particular case of the diagonal of a square in relation to its side.
God engraved its fiery capitals in the immensity of the heavens, and traced its delicate smaller letters on the flower, on the grass, on the human soul, as rich, as incommensurable as the abysses of space. Whosoever you are, brother, before letting yourself utter one word, lend your ear to that voice that seeks you, I might almost add, that implores you. Listen!
"Yet there are men that have the presumption to expect to get the better of the Parisian woman! of the woman who possesses thirty-seven thousand ways of saying 'No, and incommensurable variations in saying 'Yes."
The question of how much time was occupied in the work of Creation is of no importance, neither is the question of how long ago it took place. The one essential idea is that the processes and methods of Creation are beyond us, for we have nothing with which to measure it; Creation and the reign of "natural law" are essentially incommensurable.
It can be tested and determined only because identical interests persist. If men had not in all times wanted the same things it would be impossible to measure their attainments. Their successes and failures would be incommensurable. But the old needs and the old hopes yet remain. The problem of life which was from the beginning is a problem still.
For it is in full sympathy with a world which is riddled with what is inconceivable and incommensurable, in full sympathy with every evidence of the existence of such an element in the world of nature and mind, and therefore with every proof that the merely mechanical theory has its limits, that it does not suffice, and that its very insufficiency is a proof that the world is and remains in its depths mysterious.
Had she preferred either of the two Englishmen to himself, he could have understood and, in a measure, accepted it. They were, as he called them, 'swells. They might become, he knew not what. The career of the Saxon in fortune was a thing incommensurable by Irish ideas; but Joe was like himself, or in reality less than himself, in worldly advantages.
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