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Updated: May 1, 2025
On the arrest of partially or totally opposed representations Herbart bases his psychological calculus. Let there be given simultaneously in consciousness three opposed representations of different intensities, the strongest to be called a, the weakest c, the intermediate one b. What happens? They arrest one another, i.e. a part of each is forced to sink below the threshold of consciousness.
To the Binomial theorem, previously discovered by Newton, Taylor now added, in his "Method of Increments," the celebrated theorem that bears his name. This was in 1715. The Calculus of Partial Differences was introduced by Euler in 1734. It was extended by D'Alembert, and was followed by that of Variations, by Euler and Lagrange, and by the method of Derivative Functions, by Lagrange, in 1772.
Taking pleasure as a simple and ultimate notion he affirms that our conduct is always determined by a balance of pleasure on one side or the other. The problem of practical ethics is to construct a calculus of pleasures, a sort of ready-reckoner whereby men may be able to invest in the most profitable course of action. "When we have a hedonistic calculus with its senior wranglers," says Mr.
I was trying to make up my mind whether I would open fire upon the immortality of the soul, matrimony, or the differential calculus, when, as we passed from the narrow street into the road leading sound Jako, Isaacs spoke. "Look here, Griggs," said he, "there is something I want to impress upon your mind." "Well, what is it?"
Especially did the subject attract the attention of that accomplished mathematician, Moebius, who had already in his "Barycentrische Calculus" been led to conceptions which bore more affinity to Quaternions than could be found in the writings of any other mathematician.
And a slight improvement in the data profits more than the most elaborate application of the calculus of probabilities to the bare original data, e.g. to such data, when we are calculating the credibility of a witness, as the proportion, even if it could be verified, between the number of true and of erroneous statements a man, quâ man, may be supposed to make during his life.
Hermann must have found some yellow-braided, blue-eyed Dorothea by this some Mädchen who cared not for calculus and Hebrew, but only to be what her mother had been, wife and house-mother. But this was treason. Our grandmothers had thought that. She looked at the girl in the middle row. What beautiful hair she had!
"Fellows, did you ever hear of such downright abuse as the second year course of studies means?" "It is tough," agreed Dave. "But what can we do about it, except fight it out?" "Can you make head or tail out of calculus?" demanded Farley. "No," admitted Darrin, "but I hope to, one of these days." Just then Freeman, of the first class, poked his head in, after a soft knock.
I have said nothing adequate about the railway system, or the electric telegraph, nor about the calculus, or lithography, the airpump, or the voltaic battery; the discovery of Uranus or Neptune, and more than a hundred asteroids; the relation of meteoric streams to comets; nothing of the expeditions by land and sea that have been sent forth by various governments for the determination of important astronomical or geographical questions; nothing of the costly and accurate experiments they have caused to be made for the ascertainment of fundamental physical data.
At the age of six Randall Byrne could name and bound every state in the Union and give the date of its admission; at nine he was conversant with Homeric Greek and Caesar; at twelve he read Aristophanes with perfect understanding of the allusions of the day and divided his leisure between Ovid and Horace; at fifteen, wearied by the simplicity of Old English and Thirteenth Century Italian, he dipped into the history of Philosophy and passed from that, naturally, into calculus and the higher mathematics; at eighteen he took an A.B. from Harvard and while idling away a pleasant summer with Hebrew and Sanscrit he delved lightly into biology and its kindred sciences, having reached the conclusion that Truth is greater than Goodness or Beauty, because it comprises both, and the whole is greater than any of its parts; at twenty-one he pocketed his Ph.D. and was touched with the fever of his first practical enthusiasm surgery.
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