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Updated: May 9, 2025
No; we are far from having made the tour of this miraculous and incommensurable kingdom through which this admirable master leads us, and I should never be done were I to attempt to exhaust all the spectacles which he offers us. Let us descend yet another step, among creatures yet smaller and humbler.
It is scarcely necessary to say that to define sexual love, or even to analyze its components, is by no means to explain its mystery. We seek to satisfy our intelligence by means of a coherent picture of love, but the gulf between that picture and the emotional reality must always be incommensurable and impassable.
With its old and new battlefields, its business, its fierce changes, and the old perennial sameness of men's ways beneath them all, it had been certainly matter of more assiduous reading than even those choice, incommensurable, books, of ancient Greek and Roman experience.
She paused again, and thought; then she said, “Mankind is made up of classes of very various mental complexion, as distinct from each other as the colours which meet the eye. Red and blue are incommensurable; and in like manner, a Magian never can become a Greek, nor a Greek a Cœlicolist. They do but make themselves fools when they attempt it.”
Each of these types has its peculiar and incommensurable points, and within the limits of each type you will find a hundred divergent, almost unanalyzable, styles, a beauty of expression, a beauty of carriage, a beauty of reflection, a beauty of repose, arising each from a quite peculiar proportion of parts and qualities, and having no definable relation at all to any of the others.
Without undertaking to measure and compare what is incommensurable, I hold that Goethe's genius is essentially lyrical. Whatever else may be claimed for him, he is, first of all, and chiefly, a singer. Deepest in his nature, the most innate of all his faculties, was the faculty of song, of rhythmical utterance. The first to manifest itself in childhood, it was still active at the age of fourscore.
He proved that the side of a square containing 3 square feet, or 5 square feet, or any non-square number of square feet up to 17 is incommensurable with one foot, in other words that √3, √5 ... √17 are all incommensurable with 1.
"Oh! whose heart is not stirred with tumultuous joy when the intimate Life of Nature enters into his soul with all its plenitude, ... when that mighty sentiment for which language has no other name than Love is diffused in him, like some powerful all-dissolving vapor; when he, shivering with sweet terror, sinks into the dusky, enticing bosom of Nature; when the meager personality loses itself in the overpowering waves of passion, and nothing remains but the focal point of the incommensurable generative Force, an engulfing vortex in the ocean?"
Above all there is the same strong prevailing trend towards an adjustment of demand and supply. This fundamental resemblance between two such apparently incommensurable things as the buying of material commodities and the borrowing of capital is highly significant; it is another instance of that order in the economic world, of which the reader may now be growing weary.
In other words, although in producing loaves or, as Mill describes it, "the effect" the parts played by labour and nature are indefinite and incommensurable so long as the land, the labour, and the effect remain all three the same, the parts become immediately measurable when the effect begins to vary, and one of the causes, and only one of them, at the same time varies also.
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