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Updated: May 5, 2025
'You know there's a good deal of printing to be done for the school sometimes the questions in Latin and Greek and Algebra, and even when Mr. Ryder does have the proofs, it wants some one who really understands to see that the corrections are properly done. Old Smith used to do it, by real force of Chinese accuracy, but he has been ill for some time, and Mr.
A portion of our teachers, it gives me pleasure to add, are not only superior scholars in the common English branches, but they have made respectable attainments in philosophy, astronomy, chemistry, algebra, Latin, etc. All of these branches are successfully taught in a few of our schools.
It may fairly be doubted whether any generalisation, or hypothesis, based upon physical data is absolutely true, in the sense that a mathematical proposition is so; but, if its errors can become apparent only outside the limits of practicable observation, it may be just as usefully adopted for one of the symbols of that algebra by which we interpret nature, as if it were absolutely true.
It is an elaborate and lucid exposition of the principles which lie at the foundation of pure mathematics, with a highly ingenious application of their results to the development of the essential idea of Arithmetic, Geometry, Algebra, Analytic Geometry, and the Differential and Integral Calculus.
Algebra is applied to the clouds; the radiation of the star profits the rose; no thinker would venture to affirm that the perfume of the hawthorn is useless to the constellations. Who, then, can calculate the course of a molecule? How do we know that the creation of worlds is not determined by the fall of grains of sand?
But of inner comprehension of the processes employed he has probably acquired almost nothing. When algebra has been learnt, all goes smoothly until we reach those studies in which the notion of infinity is employed the infinitesimal calculus and the whole of higher mathematics.
The gong sounded as the last pupil closed the door behind her, but there was little doubt that the first class in algebra had gone on a strike. The noon recess gong had sounded before the girls were able to meet and talk about the incident, and, during the time that intervened, Anne had received a summons in the form of a small note to meet the principal in her office at three that afternoon.
The great error lies in supposing that even the truths of what is called pure algebra, are abstract or general truths. And this error is so egregious that I am confounded at the universality with which it has been received. Mathematical axioms are not axioms of general truth. What is true of relation of form and quantity is often grossly false in regard to morals, for example.
Under the reign of the caliph Walid, the Greek language and characters were excluded from the accounts of the public revenue. If this change was productive of the invention or familiar use of our present numerals, the Arabic or Indian ciphers, as they are commonly styled, a regulation of office has promoted the most important discoveries of arithmetic, algebra, and the mathematical sciences.
And, lo, it is finished and you are glad that stupidity and dullness do sometime come to an abrupt end. "In the Schoolroom, Jan. 23, 18 . "MY BLESSED MOTHER: "Your last note is in my breast pocket with all the other best things from you. What would boys do without a breast pocket, I wonder. There is a feeling of study in the very air, the algebra class are 'up' and doing finely.
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