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Updated: June 28, 2025


But our interest in cometary orbits has been added to by the discovery that, owing to the causes just cited, a comet, if it does not separate into discrete parts like Biela's, must in time have its parts spread out so as to cover a sensible part of the orbit, and that, when the earth passes through such part of a comet's orbit, a meteor shower is the result.

'Discrète personne Messire Jean le Fumeux, of Vaucouleurs, canon of the Church of Sainte Marie in that village, also curate of the parish church of d'Ugny, aged only thirty-eight, was, as he admitted, a mere child when Joan of Arc came to Vaucouleurs; but he remembered distinctly having seen her praying in the church at Vaucouleurs, and kneeling for a long time in the subterranean chapel of Sainte Marie's Church before an image of the Blessed Virgin.

Such phenomena as these are still good and impressive, they cannot be counterfeited under like conditions, and even when no proof of identity is given in connection with the writings, they point so distinctly to the action of a discrete, disembodied intelligence as to compel the recognition of their spiritual origin.

"Even the greatest of us," he added, with a momentary return of his more inflated self, "have them." There was a knock at the door and the secretary reappeared, ushering in this undesired visitor. "This is Mr. Sidney, sir," he announced quietly. The Cabinet Minister rose in his place and held out his hand in his best official style, a discrete mixture of reserve and condescension.

The infinite divisibility of space and of matter forms the chief difficulty in the problem of the continuous. Metaphysics demands the fixed or discrete line, although common thought is incapable of conceiving it. Space is a mere form of combination in representation or for the observer, and yet it is objective, i.e., it is valid for all intelligences, and not merely for human intelligence.

The centres are linked thus perfectly one with another, an arrangement which could not result from centres, whether of explosion or otherwise, which were themselves discrete. Furthermore, the system covers the whole surface of the planet, dark areas and light ones alike, a world-wide distribution which exceeds the bounds of natural possibility.

But the mathematical examination of the subject disposed so thoroughly of the theory that the rings can consist of continuous fluid masses, that we need not now discuss the physical objections to the theory. There remains only the theory that the Saturnian ring-system consists of discrete masses analogous to the streams of meteors known to exist in great numbers within the solar system.

But it should be known, that in every man from his birth there are three degrees of height, or discrete degrees, one above or within another; and that each degree of height, or discrete degree, has also degrees of breadth, or continuous degrees, according to which it increases by continuity.

Leibnitz, on the contrary, maintained that the organisation of nature was infinitely deep, every part consisting of an endless number of discrete elements. Here we may observe the difference between good philosophy and bad.

But desire is translated into thought, thought into feeling, and feeling into action. All spirits enjoy community, as all souls and all bodies on their respective planes of existence; but between spirit and soul, as between soul and body, there is a discrete degree.

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