""Lectures on the Logic of Arithmetic"" is a book written by Mary Everest Boole, an English mathematician and educator. The book explores the principles of logic that underlie the arithmetic operations of addition, subtraction, multiplication, and division. Boole's approach is based on the idea that arithmetic can be understood as a system of rules that govern the manipulation of symbols, rather than as a set of concrete operations on numbers. The book is divided into a series of lectures, each of which focuses on a different aspect of the logic of arithmetic. Boole begins by introducing the basic concepts of logic, including the idea of a proposition, a term, and a syllogism. She then goes on to explore the principles of addition and subtraction, showing how they can be understood in terms of logical operations. Boole also discusses the principles of multiplication and division, showing how they can be represented using symbols and logical operations. She explores the concept of proportionality, and shows how it can be used to understand the relationships between different quantities. Throughout the book, Boole emphasizes the importance of clear and precise thinking, and provides many examples and exercises to help readers develop their logical skills. She also discusses the practical applications of the principles of arithmetic, including their use in science, engineering, and everyday life. Overall, ""Lectures on the Logic of Arithmetic"" is a fascinating exploration of the principles that underlie one of the most fundamental areas of mathematics. Boole's clear and engaging writing style makes it accessible to readers of all levels, and her insights into the nature of logic and reasoning are sure to inspire and challenge anyone interested in the subject.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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But for your resolute energy I think I should never have communicated to the educational world the method which I have long used for reviving the faculties of children suffering from mathematical rickets and logical paralysis. These diseases are common; they are induced by the practice of teaching mathematical processes on a hypothesis about the nature of Mathematics directly opposed to that which underlies the original invention and formulation of these processes. I have, as you know, taken no part in recent attempts to improve methods of teaching, because, as James Hinton said, I can see no use in trying to invent good methods for teaching truth on a basis of falsehood ;the only remedy in which I have any faith is to tell the pupil one or two simple laws of the relation of the human mind to Scientific Truth, and then to see that he forms the habit of working in accordance with those laws.
(Typographical errors above are due to OCR software and don't occur in the book.)
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This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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