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Updated: May 2, 2025
It is the invention of general symbols serving to express the numerical relations of entities, whatever be their special characters. And what is the nature of the mental process by which numbers are found capable of having their relations expressed algebraically? It is just the same.
Taylor's letter and given it a much more attentive reading than we confess we gave it when it first appeared, for the purpose of seeing whether it was really true that ministers were such dexterous and highly taught dialecticians that they could overthrow a scientific man, even on a subject of which they knew little or nothing whether, in short, they could really treat the question of evolution algebraically, and, by the mere aid of signs of the meaning of which they were ignorant, put the Huxleys and Darwins to confusion.
Algebraically it is a self-evident proposition that any difference between various powers of x disappears when they are compared with x multiplied into itself to infinity, because there can be no ratio between any determinate power, however high, and the infinite; and thus the relation between the individual and All-Being must always remain the same.
Leibnitz, reflecting upon these statements on the part of Newton, arrived by a somewhat different path at the Differential and Integral Calculus, reasoning, however, concerning infinitely great and infinitely small quantities in general, viewing the problem algebraically instead of geometrically, and immediately imparted the result of his studies to the English mathematician.
The time which we may suppose to be represented algebraically by the symbol t, would remain as an unknown quantity to the end.
Then editorials gave up their gaseous matter in clouds, chatty news stories boiled away to paragraphs, and articles shrank up to their headlines. But the reviews suffered most. One, I remember, came down to "It is a bad book," or to express it algebraically, it is a bad book. Another disappeared entirely.
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