Lectures On The Logic Of Arithmetic

by Mary Everest Boole

""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.

148 pages, Paperback

First published January 1, 1903

About the author

Mary Everest Boole (11 March 1832 in Wickwar, Gloucestershire – 17 May 1916 in Middlesex, England) was a self-taught mathematician who is best known as an author of didactic works on mathematics, such as Philosophy and Fun of Algebra, and as the wife of fellow mathematician George Boole. Her progressive ideas on education, as expounded in The Preparation of the Child for Science, included encouraging children to explore mathematics through playful activities such as curve stitching. Her life is of interest to feminists as an example of how women made careers in an academic system that did not welcome them.