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I cannot approve of the mystery adopted by some grave learned men, who, in the present day, attend experiments on somnambulism. Doubt is a proof of diffidence, and has rarely been inimical to the progress of science. We could not say the same of incredulity. He who, except in pure mathematics, pronounces the word impossible, is deficient in prudence.
His thoughts turned again to his projected "A History of the Higher Mathematics," and he forgot all about the incident till, as it happened that day month, the first of the month by the calendar, when he was sitting in his study with an eminent colleague to whom he was explaining his great scheme.
Between 1849 and 1852 very few meetings of the Governors were held, owing to the absence of the Governors from Montreal. The affairs of the College were largely in the hands of the Vice-Principal and his assistants. Conditions gradually became graver. The Lecturers in French and Mathematics were dismissed because no money to pay them was in prospect.
The same activity which filled the religious world, was found also in scientific directions and Dr. Harvey's discovery of the circulation of the blood, and Napier's introduction of logarithms, made a new era for both medicine and mathematics. That every pulse of this new tide was felt in the castle at Lempingham is very evident, in all Anne Bradstreet's work.
So whether the teacher have in hand mathematics, grammar, or science, let him disclose the principles only gradually, and always only so far as they are justified by the observations which the boy has been led to make for himself.
Redundance was substituted for invention, and geometry for passion; tho Gothic art became a mere expression of wanton expenditure, and vulgar mathematics; and was swept away, as it then deserved to be swept away, by the severer pride, and purer learning, of the schools founded on classical traditions.
Then he took contracts to dig ditches, and sometimes he made ten dollars a day. Parties who were "busted" and wished to borrow were offered a job. He set them to work and paid them for what they did, and no more. It was all a question of mathematics. In five years Philip Armour had saved eight thousand dollars. It was enough to buy the best farm in Oneida County, and this was all he wanted.
"Those cannot be said to share in, any enjoyment from whom has been taken the power of serving God according to the religion in which they have been brought up. No slavery is more intolerable nor more exasperating to the mind than such restraint." Most true, O excellent president! No axiom in mathematics is more certain than this simple statement.
Had the Greeks possessed it, who can say how far they might have gone in their applications of mathematics? Yet in spite of this drawback the most permanent contribution of the Greeks to science was in the very sphere of exact measurement where they would have received the most assistance from a better system of calculation had they possessed it.
In Warrington's room there was scarcely any article of furniture, save a great shower-bath, and a heap of books by the bedside: where he lay upon straw like Margery Daw, and smoked his pipe, and read half through the night his favourite poetry or mathematics. When he had completed his simple toilette, Mr. Warrington came out of this room, and proceeded to the cupboard to search for his breakfast.
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