The Mathematical Analysis Of Logic: Being an Essay Towards a Calculus of Deductive Reasoning - Couverture souple

Boole, George

Couverture souple

ISBN 10 : 054871052X ISBN 13 : 9780548710524

Editeur : Kessinger Publishing Co, 2007

Synopsis

The Mathematical Analysis of Logic is an influential book written by George Boole in 1847. The book is an essay that aims to establish a calculus of deductive reasoning, which is a mathematical method for analyzing logical arguments. Boole's work is significant because it lays the foundation for modern symbolic logic and Boolean algebra. The book introduces the concept of algebraic logic, which is a system of logic that can be expressed in mathematical symbols and equations. Boole also develops a system of notation that uses symbols to represent logical operations such as conjunction, disjunction, and negation. The Mathematical Analysis of Logic is a seminal work in the history of logic and mathematics, and it has had a profound impact on fields such as computer science and philosophy.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.

A propos du livre

Biographie de l'auteur

George Boole (1815 – 1864) was an English mathematician, philosopher and logician. He worked in the fields of differential equations and algebraic logic, and is now best known as the author of The Laws of Thought. Boole said, ... no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognise ... those universal laws of thought which are the basis of all reasoning ... Boole was born in Lincolnshire, England. His father, John Boole (1779–1848), was a tradesman in Lincoln, and gave him lessons. He had an elementary school education, but little further formal and academic teaching. William Brooke, a bookseller in Lincoln, may have helped him with Latin; which he may also have learned at the school of Thomas Bainbridge. He was self-taught in modern languages. At age 16 Boole became the breadwinner for his parents and three younger siblings, taking up a junior teaching position in Doncaster, at Heigham's School. He taught briefly in Liverpool. Boole participated in the local Mechanics Institute, the Lincoln Mechanics' Institution, which was founded in 1833. Edward Bromhead, who knew John Boole through the Institution, helped George Boole with mathematics books; and he was given the calculus text of Sylvestre François Lacroix by Rev. George Stevens Dickson, of St Swithin Lincoln. Without a teacher, it took him many years to master calculus. In 1841 Boole published an influential paper in early invariant theory. He received a medal from the Royal Society for his memoir of 1844, On A General Method of Analysis. It was a contribution to the theory of linear differential equations, moving from the case of constant coefficients on which he had already published, to variable coefficients. The innovation in operational methods is to admit that operations may not commute. In 1847 Boole published The Mathematical Analysis of Logic , the first of his works on symbolic logic. At age 19 Boole successfully established his own school at Lincoln. Four years later he took over Hall's Academy, at Waddington, outside Lincoln, following the death of Robert Hall. In 1840 he moved back to Lincoln, where he ran a boarding school. With E. R. Larken and others he set up a building society in 1847. He associated also with the Chartist Thomas Cooper, whose wife was a relation. From 1838 onwards Boole was making contacts with sympathetic British academic mathematicians, and reading more widely.

Présentation de l'éditeur

Self-taught mathematician George Boole (1815–1864) published a pamphlet in 1847 – The Mathematical Analysis of Logic – that launched him into history as one of the nineteenth century's most original thinkers. In the introduction, Boole closely adheres to two themes: the fundamental unity of all science and the close relationship between logic and mathematics. In the first chapter, he examines first principles of formal logic, and then moves on to Aristotelian syllogism, hypotheticals, and the properties of elective functions. Boole uses this pamphlet to answer a well-known logician of the day, Sir William Hamilton, who believed that only philosophers could study 'the science of real existence', while all mathematicians could do was measure things. In essence, The Mathematical Analysis of Logic humbly chides Hamilton and asks him to rethink his bias. Boole is compelling reading for anyone interested in intellectual history and the science of the mind.

Détails de l'édition

• Éditeur: Kessinger Publishing Co
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 054871052X
• ISBN 13: 9780548710524
• Reliure: Broché
• Nombre de pages: 88
• Coordonnées du fabricant: non disponible