Excerpt from The Philosophy of Arithmetic: Considered as a Branch of Mathematical Science and the Elements of Algebra
Arithmetic is one of the two great branches of Mathematics; and, when scientifically treated, needs not fear a comparison with her more favoured sister. Geometry, either in precision of ideas, in clearness and certainty of demonstration, in practical utility, or in the beautiful deduction of the most interesting truths.
In the order of instruction, Arithmetic ought to take precedence of Geometry; and has, I conceive, a more necessary connection with it, than some are willing to allow. "Number," as Mr. Locke remarks, "is that which the mind makes use of, in measuring "all things that by us are measurable." And I question whether the doctrine of ratio in Geometry has not been needlessly obscured, by a vain attempt to divest it of numerical considerations. Upon this subject I have elsewhere expressed my views more at large.
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Excerpt from The Philosophy of Arithmetic: Considered as a Branch of Mathematical Science and the Elements of Algebra
Arithmetic is one of the two great branches of Mathematics; and, when scientifically treated, needs not fear a comparison with her more favoured sister. Geometry, either in precision of ideas, in clearness and certainty of demonstration, in practical utility, or in the beautiful deduction of the most interesting truths.
In the order of instruction, Arithmetic ought to take precedence of Geometry; and has, I conceive, a more necessary connection with it, than some are willing to allow. "Number," as Mr. Locke remarks, "is that which the mind makes use of, in measuring "all things that by us are measurable." And I question whether the doctrine of ratio in Geometry has not been needlessly obscured, by a vain attempt to divest it of numerical considerations. Upon this subject I have elsewhere expressed my views more at large.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book, written in the early 19th century, champions the significance of arithmetic as a foundational element of mathematics and education. It challenges the prevailing notion of arithmetic as a mere mechanical skill, advocating instead for its recognition as a science that fosters intellectual development and critical thinking. The author contends that arithmetic, when taught rationally, surpasses geometry in its capacity to cultivate reasoning abilities. The text emphasizes the historical context of numeral systems, contrasting the efficiency of the Arabic numeral system with the cumbersome Roman and Greek methods. Exploring themes of educational reform and intellectual empowerment, this book underscores the importance of a solid foundation in arithmetic for both men and women. It advocates for the inclusion of mathematics in a liberal education, dispelling the misconception that it is a subject solely for scholars. By delving into the principles of arithmetic and algebra, this book provides timeless insights into the power of numbers and their ability to shape our understanding of the world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781440081811_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781440081811
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781440081811
Quantité disponible : 15 disponible(s)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 220 pages. 9.00x6.00x0.50 inches. This item is printed on demand. N° de réf. du vendeur zk1440081816
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