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Updated: May 3, 2025
Why, as far back as when I was studying algebra, I nobly refused to learn the binomial theorem. I just read it through once, hastily, like taking one sniff at a violet, and then let it alone. The other fellows fairly gorged themselves with it, but I didn't I had too much sense." When Mr. Chester had been there a week, he gave Dorothy two worn and crumpled two-dollar bills.
By propounding the binomial theorem, the differential calculus, and the integral calculus, he began in 1665 the wonderful series of discoveries in pure mathematics, optics, and physics, which place him in the first rank of the philosophers of all time.
The activity of mind awakened by music over waters is very different from that awakened by the binomial theorem. Some things interest the intellect, others the emotions; and it is only things of prime importance that interest them both in equal measure.
Thus the generic name given all members of the cat tribe being Felis, the name Felis leo designates the lion; Felis pardus, the leopard; Felis domestica, the house cat, and so on. This seems perfectly simple and natural now, but to understand how great a reform the binomial nomenclature introduced we have but to consult the work of Linnaeus's predecessors. A single illustration will suffice.
He was as persuaded that there was a God as he was that there was another side to the moon. His intellectual conviction was complete. Only, beside the living, breathing occasionally coughing reality of Phoebe, God was something as unsubstantial as the Binomial Theorem.... Very like the Binomial Theorem as one thought over that comparison.
His discovery of the Binomial Theorem and its most important applications, as well as his still greater discovery of the Law of Gravitation, were not published for years after they were made; and when he communicated to Collins his solution of the theory of the moon's rotation round the earth, he forbade him to insert his name in connection with it in the 'Philosophical Transactions, saying: "It would, perhaps, increase my acquaintance the thing which I chiefly study to decline."
I was to recover from the illusion later, when the binomial theorem, that light, crisp biscuit, was followed by heavier and less digestible fare. But, for the moment, I had no foretaste of the future difficulties, of the pitfall in which one becomes more and more entangled, the longer one persists in struggling.
The ingenious and easy arrangement of the binomial gave me time to tackle my algebra book from the proper commencement. In three or four days, I had rubbed up my weapons. There was nothing to be said about addition and subtraction: they were so simple as to force themselves upon one at first sight. Multiplication spoilt things.
By this time he had reached the banks of the Serpentine and was approaching the grey stone bridge that crosses just where Hyde Park ends and Kensington Gardens begins. Following upon his doubts of his religious faith had come another still more extraordinary question: "Although there is a God, does he indeed matter more in our ordinary lives than that same demonstrable Binomial Theorem?
He spends his nights, not in social dissipation, but in gathering in rats, mice, flying-squirrels, and also birds. When he first brought me a bird, I told him that it was wrong, and tried to convince him, while he was eating it, that he was doing wrong; for he is a reasonable cat, and understands pretty much everything except the binomial theorem and the time down the cycloidal arc.
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