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Excerpt from The Open Court, Vol. 25: March, 1911 If a number contains more units than a second, it is called greater than this second, which is called the lesser. By successively incorporating single units with the lesser of two primitive numbers we can make the greater. Thomas Harriot (1560 tutor to Sir Walter Raleigh and one of the three magi of the Earl of Northumberland, devised the symbol published 1631, read is greater than, and called the Sign of inequality. Inequality is a sensed relation. Turned thus its symbol is read is less than. Inequality in the same sense is transitive. If 1: y and y 3, then r 3. I Since the result of counting is independent of the order of the individuals counted, therefore of two unequal natural numbers the one once found greater is always the greater. Without knowing the number n, we can write either it 5, or n:5, or n Any number which succeeds another in the natural scale is greater than this other. Ordinally, r y means that r precedes y in the scale. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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