Boole, George 18151864
Overview
Works:  288 works in 1,023 publications in 7 languages and 12,765 library holdings 

Genres:  Records and correspondence 
Roles:  Author, Publisher 
Classifications:  BC135, 164 
Publication Timeline
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Most widely held works about
George Boole
 The logician and the engineer : how George Boole and Claude Shannon created the information age by Paul J Nahin( Book )
 George Boole : his life and work by Des MacHale( Book )
 The BooleDe Morgan correspondence, 18421864 by George Boole( Book )
 On Boole by Dale Jacquette( Book )
 A Boole anthology : recent and classical studies in the logic of George Boole( Book )
 Boole : 18151864 : l'oiseau de nuit en plein jour by Souleymane Bachir Diagne( Book )
 George Boole : selected manuscripts on logic and its philosophy by George Boole( Book )
 The life and work of George Boole : a prelude to the digital age by Des MacHale( Book )
 George Boole; a miscellany by Patrick D Barry( Book )
 The mathematical psychology of Gratry and Boole translated from the language of the higher calculus into that of elementary geometry by Mary Everest Boole( Book )
 The history of computing : a biographical portrait of the visionaries who shaped the destiny of the computer industry by Marguerite Zientara( Book )
 George Boole : precursor de la lógica simbólica by Armando Asti Vera( Book )
 La depsicologizzazione della logica : un confronto tra Boole e Frege by Nicla Vassallo( Book )
 The other mathematics : language and logic in Egyptian and in general by Leo Depuydt( Book )
 The Liberation of algebra( Visual )
 George Boole : filosofia, logica, matematica( Book )
 Schnitte Boolescher Korrespondenzen und ihre Dualisierungen by Siegfried Graf( )
 The Booles & the Hintons : two dynasties that helped shape the modern world by Gerry Kennedy( Book )
 Metafisica, logica, matematica : Leibniz, Boole, Rosmini by Maria Luisa Facco( Book )
 Boole's logic and probability : a critical exposition from the standpoint of contemporary algebra, logic, and probability theory by Theodore Hailperin( )
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Most widely held works by
George Boole
An investigation of the laws of thought : on which are founded the mathematical theories of logic and probabilities by
George Boole(
Book
)
107 editions published between 1854 and 2012 in English and Undetermined and held by 1,669 WorldCat member libraries worldwide
An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, was an influential 19th century book by George Boole, the second of his two monographs on algebraic logic. It was published in 1854. Boole was Professor of Mathematics of then Queen's College, Cork in Ireland
107 editions published between 1854 and 2012 in English and Undetermined and held by 1,669 WorldCat member libraries worldwide
An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, was an influential 19th century book by George Boole, the second of his two monographs on algebraic logic. It was published in 1854. Boole was Professor of Mathematics of then Queen's College, Cork in Ireland
A treatise on the calculus of finite differences by
George Boole(
Book
)
70 editions published between 1860 and 2003 in English and held by 1,021 WorldCat member libraries worldwide
Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses differenceequations, including linear, mixed, and partial differenceequations, and concludes with applications to problems in geometry and optics. The text pays particular attention to the connection of the calculus of finite differences with the differential calculus, and more than 200 problems appear in the text (some with solutions). Unabridged republication of the classic 1872 edition
70 editions published between 1860 and 2003 in English and held by 1,021 WorldCat member libraries worldwide
Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses differenceequations, including linear, mixed, and partial differenceequations, and concludes with applications to problems in geometry and optics. The text pays particular attention to the connection of the calculus of finite differences with the differential calculus, and more than 200 problems appear in the text (some with solutions). Unabridged republication of the classic 1872 edition
The mathematical analysis of logic being an essay towards a calculus of deductive reasoning by
George Boole(
Book
)
82 editions published between 1847 and 2015 in 3 languages and held by 952 WorldCat member libraries worldwide
Selftaught mathematician George Boole (18151864) 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 wellknown 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
82 editions published between 1847 and 2015 in 3 languages and held by 952 WorldCat member libraries worldwide
Selftaught mathematician George Boole (18151864) 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 wellknown 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
A treatise on differential equations by
George Boole(
Book
)
113 editions published between 1859 and 2015 in 3 languages and held by 877 WorldCat member libraries worldwide
There is an aspect of Boole's work that is not closely related to his treatises in logic or the theory of sets but which is familiar to every student of differential equations. This is the algorithm of differential operators, which he introduced to facilitate the treatment of linear differential equations. If, for example, we wish to solve the differential equation ay + by + cy = 0, the equation is written in the notation (aD2 + bD + c)y = 0. Then, regarding D as an unknown quantity rather than an operator, we solve the algebraic quadratic equation aD2 + bD + c = 0. There are many other situations in which Boole, in his Treatise on Differential Equations of 1859, pointed out parallels between the properties of the differential operator (and its inverse) and the rules of algebra. British mathematicians in the second half of the nineteenth century were thus again becoming leaders in algorithmic analysis, a field in which, fifty years earlier, they had been badly deficient
113 editions published between 1859 and 2015 in 3 languages and held by 877 WorldCat member libraries worldwide
There is an aspect of Boole's work that is not closely related to his treatises in logic or the theory of sets but which is familiar to every student of differential equations. This is the algorithm of differential operators, which he introduced to facilitate the treatment of linear differential equations. If, for example, we wish to solve the differential equation ay + by + cy = 0, the equation is written in the notation (aD2 + bD + c)y = 0. Then, regarding D as an unknown quantity rather than an operator, we solve the algebraic quadratic equation aD2 + bD + c = 0. There are many other situations in which Boole, in his Treatise on Differential Equations of 1859, pointed out parallels between the properties of the differential operator (and its inverse) and the rules of algebra. British mathematicians in the second half of the nineteenth century were thus again becoming leaders in algorithmic analysis, a field in which, fifty years earlier, they had been badly deficient
Calculus of finite differences by
George Boole(
Book
)
41 editions published between 1860 and 1970 in 3 languages and held by 650 WorldCat member libraries worldwide
41 editions published between 1860 and 1970 in 3 languages and held by 650 WorldCat member libraries worldwide
Studies in logic and probability by
George Boole(
Book
)
38 editions published between 1945 and 2012 in English and held by 617 WorldCat member libraries worldwide
From one of the founders of symbolic logic comes this collection of writings on logical subjects and related questions of probability. George Boole invented Boolean logic, the basis of modern digital computer logic, for which he is regarded as a founder of the field of computer science. This authoritative compilation of his papers features his most mature thinking on Boolean logic and includes previously unpublished material. Appropriate for upperlevel undergraduates and graduate students, the contents range from The Mathematical Analysis of Logic to Boole's final works, including The Laws of Thought, the most systematic statement of his ideas on logic and probability. Boole had intended to create a followup volume but did not survive to fulfill his ambition; this volume features his further studies on the subject
38 editions published between 1945 and 2012 in English and held by 617 WorldCat member libraries worldwide
From one of the founders of symbolic logic comes this collection of writings on logical subjects and related questions of probability. George Boole invented Boolean logic, the basis of modern digital computer logic, for which he is regarded as a founder of the field of computer science. This authoritative compilation of his papers features his most mature thinking on Boolean logic and includes previously unpublished material. Appropriate for upperlevel undergraduates and graduate students, the contents range from The Mathematical Analysis of Logic to Boole's final works, including The Laws of Thought, the most systematic statement of his ideas on logic and probability. Boole had intended to create a followup volume but did not survive to fulfill his ambition; this volume features his further studies on the subject
Collected logical works by
George Boole(
Book
)
9 editions published between 1916 and 1952 in English and Undetermined and held by 317 WorldCat member libraries worldwide
9 editions published between 1916 and 1952 in English and Undetermined and held by 317 WorldCat member libraries worldwide
The laws of thought (1854) by
George Boole(
Book
)
14 editions published between 1854 and 1952 in English and held by 249 WorldCat member libraries worldwide
14 editions published between 1854 and 1952 in English and held by 249 WorldCat member libraries worldwide
A treatise on the calculus of finite differences by
George Boole(
Book
)
18 editions published between 1860 and 2009 in English and held by 152 WorldCat member libraries worldwide
18 editions published between 1860 and 2009 in English and held by 152 WorldCat member libraries worldwide
The laws of thought by
George Boole(
Book
)
10 editions published between 1854 and 2003 in English and held by 130 WorldCat member libraries worldwide
"This groundbreaking work on logic by the brilliant nineteenthcentury English mathematician George Boole (18151864) remains influential to this day. Boole's major contribution was to demonstrate conclusively that the symbolic expressions of algebra could be adapted to convey the fundamental principles and operations of logic, which hitherto had been expressed only in words. Boole was thus the founder of today's science of symbolic logic."Jacket
10 editions published between 1854 and 2003 in English and held by 130 WorldCat member libraries worldwide
"This groundbreaking work on logic by the brilliant nineteenthcentury English mathematician George Boole (18151864) remains influential to this day. Boole's major contribution was to demonstrate conclusively that the symbolic expressions of algebra could be adapted to convey the fundamental principles and operations of logic, which hitherto had been expressed only in words. Boole was thus the founder of today's science of symbolic logic."Jacket
Les Lois de la pensée by
George Boole(
Book
)
6 editions published in 1992 in French and held by 95 WorldCat member libraries worldwide
6 editions published in 1992 in French and held by 95 WorldCat member libraries worldwide
George Boole : selected manuscripts on logic and its philosophy by
George Boole(
Book
)
10 editions published between 1997 and 2014 in English and German and held by 61 WorldCat member libraries worldwide
George Boole (18151864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread worldwide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a nontechnical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written
10 editions published between 1997 and 2014 in English and German and held by 61 WorldCat member libraries worldwide
George Boole (18151864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread worldwide for his innovations in symbolic logic and the development and applications made since his day. The utility of "Boolean algebra" in computing has greatly increased curiosity in the nature and extent of his achievements. His work is most accessible in his two books on logic, "A mathematical analysis of logic" (1947) and "An investigation of the laws of thought" (1954). But at various times he wrote manuscript essays, especially after the publication of the second book; several were intended for a nontechnical work, "The Philosophy of logic", which he was not able to complete. This volume contains an edited selection which not only relates them to Boole's publications and the historical context of his time, but also describes their strange history of family, followers and scholars have treid to confect an edition. The book will appeal to logicians, mathematicians and philosophers, and those interested in the histories of the corresponding subjects; and also students of the early Victorian Britain in which they were written
The mathematical analysis of logic by
George Boole(
Book
)
1 edition published in 1965 in English and held by 59 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 59 WorldCat member libraries worldwide
The BooleDe Morgan correspondence, 18421864 by
George Boole(
Book
)
9 editions published in 1982 in English and held by 57 WorldCat member libraries worldwide
9 editions published in 1982 in English and held by 57 WorldCat member libraries worldwide
An investigation of the laws of thought : on which are founded the mathematical theories of logic and probabilities by
George Boole(
Book
)
7 editions published between 1854 and 1952 in English and held by 42 WorldCat member libraries worldwide
7 editions published between 1854 and 1952 in English and held by 42 WorldCat member libraries worldwide
Algèbre et logique by
George Boole(
Book
)
2 editions published in 1962 in French and held by 42 WorldCat member libraries worldwide
2 editions published in 1962 in French and held by 42 WorldCat member libraries worldwide
Indagine sulle leggi del pensiero su cui sono fondate le teorie matematiche della logica e della probabilità by
George Boole(
Book
)
7 editions published between 1976 and 1987 in Italian and held by 37 WorldCat member libraries worldwide
7 editions published between 1976 and 1987 in Italian and held by 37 WorldCat member libraries worldwide
Die Grundlehren der endlichen Differenzen und Summenrechnung by
George Boole(
Book
)
13 editions published between 1867 and 1991 in German and held by 34 WorldCat member libraries worldwide
13 editions published between 1867 and 1991 in German and held by 34 WorldCat member libraries worldwide
Collected logical works by
George Boole(
Book
)
8 editions published between 1854 and 1952 in English and held by 34 WorldCat member libraries worldwide
8 editions published between 1854 and 1952 in English and held by 34 WorldCat member libraries worldwide
An investigation of the laws of thought by
George Boole(
Book
)
12 editions published between 1854 and 2012 in English and Undetermined and held by 18 WorldCat member libraries worldwide
CHAPTER IV.  OF THE DIVISION OF PROPOSITIONS INTO THE TWO CLASSES OF "PRIMARY" AND "SECONDARY" OF THE CHARACTERISTIC PROPERTIES OF THOSE CLASSES, AND OF THE LAWS OF THE EXPRESSION OF PRIMARY PROPOSITIONS.; PROPOSITION I.; PROPOSITION II.; PROPOSITION III.; CHAPTER V.  OF THE FUNDAMENTAL PRINCIPLES OF SYMBOLICAL REASONING, AND OF THE EXPANSION OR DEVELOPMENT OF EXPRESSIONS INVOLVING LOGICAL SYMBOLS.; PBOPOSITION I.; PROPOSITION II.; PROPOSITION III.; PROPOSITION IV
12 editions published between 1854 and 2012 in English and Undetermined and held by 18 WorldCat member libraries worldwide
CHAPTER IV.  OF THE DIVISION OF PROPOSITIONS INTO THE TWO CLASSES OF "PRIMARY" AND "SECONDARY" OF THE CHARACTERISTIC PROPERTIES OF THOSE CLASSES, AND OF THE LAWS OF THE EXPRESSION OF PRIMARY PROPOSITIONS.; PROPOSITION I.; PROPOSITION II.; PROPOSITION III.; CHAPTER V.  OF THE FUNDAMENTAL PRINCIPLES OF SYMBOLICAL REASONING, AND OF THE EXPANSION OR DEVELOPMENT OF EXPRESSIONS INVOLVING LOGICAL SYMBOLS.; PBOPOSITION I.; PROPOSITION II.; PROPOSITION III.; PROPOSITION IV
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Related Identities
 Shannon, Claude Elwood 19162001
 Nahin, Paul J. Author
 MacHale, Desmond Author
 Moulton, J. Fletcher (John Fletcher) 18441921 Editor
 Todhunter, I. (Isaac) 18201884 Editor
 De Morgan, Augustus 18061871
 Smith, G. C. MA Compiler Editor
 Diagne, Souleymane Bachir Author
 GrattanGuinness, I. Other Editor
 Bornet, Gérard Other Editor
Useful Links
Associated Subjects
Algebra Algebra, Boolean Algebraic logic Analysis (Philosophy) Babbage, Charles, Boole, George, Burroughs, William Seward, Computer industry Computer logic Computers De Morgan, Augustus, Difference equations Differential equations Egyptian languageSentences Electrical engineers Electronic data processing England Families Finite differences Firstorder logic Frege, Gottlob, Functional equations Gratry, A.(Auguste), Great Britain Hamilton, William Rowan,Sir, Hinton family Information theory Ireland Language and logic Leibniz, Gottfried Wilhelm,Freiherr von, Logic Logic, Symbolic and mathematical Logic circuits Logicians Mathematicians Mathematics MathematicsPhilosophy Metaphysics Pascal, Blaise, Philosophy, Modern Probabilities Psychologism PsychologyMathematical models Rosmini, Antonio, ScienceMethodology Shannon, Claude Elwood, Thought and thinking Turing, Alan Mathison, United States Zuse, Konrad
Alternative Names
Boole, G
Boole, G. 18151864
Boole, G.A. 18151864
Boole, G. (George), 18151864
Boole, George
Bu er 18151864
Bul', Georg.
Corc Bul
Džordž Bul
Džordžs Būls angļu matemātiķis, filozofs un loģiķis
George Boole angielski matematyk i filozof
George Boole angol matematikus és filozófus
George Boole Brits wiskundige
George Boole en änglische Mathematiker und Filosoof
George Boole englischer Mathematiker und Philosoph
George Boole English mathematician, philosopher and logician
George Boole logicien, mathématicien et philosophe britannique
George Boole matematico e logico britannico
George Boole matemático y lógico británico
George Boole matematikari, filosofo eta logikari ingelesa
Georgius Boole
Puerh 18151864
Τζορτζ Μπουλ
Буль
Джордж Бул
Джордж Буль
Джордж Буль английский математик и логик
Џорџ Бул
Ջորջ Բուլ
ג'ורג' בול
جارج بول
جرج بول ریاضیدان و فیلسوف بریتانیایی
جورج بول
جۆرج بووڵ
گەۆرگە بۆۆلە
जॉर्ज बूल
জর্জ বুল
ஜார்ஜ் பூல்
జార్జ్ బూలె
ജോർജ്ജ് ബൂൾ
ජෝජ් බූල්
จอร์จ บูล
조지 불
ジョージ・ブール
ブール, G
ブール, ジョルジ
喬治·布爾
伯胡爾
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