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In other words, Jellicoe knew with almost mathematical certainty that at four o'clock on the morning of June 1, 1916, the German fleet was within the area A, B, C, D, Plate IX. His own more powerful fleet was at E and F, still between the Germans and their base, with an excess of speed of at least three knots, and probably much more than this.
My mathematical teacher held a class for a limited number of youths in a house in the Rue Git-le-Coeur, and thither I went, to gain the habit of speaking the language of algebra in public. In contrast to my memories of school lessons, I have the pleasantest recollections of those I received in that den for den it was!
I also knew enough mathematics, as, to my astonishment, a mathematical tutor at Oxford in an unguarded hour confessed to me, to enable me to take a First in Mathematical Mods. But knowledge of literature, a power of writing, a not inconsiderable reading in modern history, and the aforesaid mathematics were no use whatever for the purposes of matriculation.
The process we undergo in mathematical or dialectical thinking is called understanding, because a natural sequence is there adequately translated into ideal terms. Logical connections seem to be internally justified, while only the fact that we perceive them here and now, with more or less facility, is attributed to brute causes.
She knew to a minute the time when each article must go into and be withdrawn from her oven; and if she could only lie in her chamber and direct, she could guide an intelligent child through the processes with mathematical certainty.
First he set down a long row of figures, which he added together with much difficulty, and then seemed to instantly conceive the most unrelenting hostility to the sum total. The mathematical tortures to which he put that unhappy amount; the arithmetical abuse which he heaped upon it, and the algebraic contumely with which he overwhelmed it, almost defy description.
I shall here only, and that very readily, allow, that these maxims and mathematical demonstrations are in this different: that the one have need of reason, using of proofs, to make them out and to gain our assent; but the other, as soon as understood, are, without any the least reasoning, embraced and assented to.
Yes, this logical God, arrived at by the via negationis, was a God who, strictly speaking, neither loved nor hated, because He neither enjoyed nor suffered, an inhuman God, and His justice was a rational or mathematical justice that is, an injustice.
Stern, exacting, mathematical judgment was alien to his gentle nature. "He can serve as an earthly prototype for the very angels of heaven!" I thought fondly, watching him one day at his prayers. Without a breath of censure or criticism, he surveyed the world with eyes long familiar with the Primal Purity. His body, mind, speech, and actions were effortlessly harmonized with his soul's simplicity.
During the remainder of the journey the licentiate held forth to them on the excellences of the sword, with such conclusive arguments, and such figures and mathematical proofs, that all were convinced of the value of the science, and Corchuelo cured of his dogmatism.
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