George Boole: Selected Manuscripts on Logic and its Philosophy / Edition 1

George Boole: Selected Manuscripts on Logic and its Philosophy / Edition 1

by Ivor Grattan-Guinness
     
 

George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide 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

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Overview

George Boole (1815-1864) is well known to mathematicians for his research and textbooks on the calculus, but his name has spread world-wide 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 non-technical 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.

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Product Details

ISBN-13:
9783764354565
Publisher:
Birkhauser Basel
Publication date:
04/01/1997
Series:
Science Networks. Historical Studies Series, #20
Edition description:
1997
Pages:
236
Product dimensions:
0.81(w) x 9.21(h) x 6.14(d)

Table of Contents

Boole's quest for the foundations of his logic
Boole's Psychologism as a Reception Problem
Acknowledgements
Notes
Ch. IThe Nature of Logic1
Ch. IIElementary Treatise on Logic not mathematical including philosophy of mathematical reasoning13
Ch. IIIExtracts from a notebook42
Ch. IVProlegomena51
Ch. VOn the Foundations of the Mathematical Theory of Logic and on the Philosophical Interpretation of Its Methods and Processes63
Ch. VIPreparatory Notes105
Ch. VIIGeneral Summary112
Ch. VIIIPreface119
Ch. IXTable of Contents121
Ch. XThe Philosophy of Reasoning123
Ch. XILogic126
Ch. XIIOn Belief in Its Relation to the Understanding157
Ch. XIIIThe Philosophical Idea of Freedom162
Ch. XIVNote [to Aristotle]164
Ch. XVPhilosophy of Mathematics167
Ch. XVIVarious fragments, apparently late179
Ch. XVIILetters to Cayley, Lubbock and Penrose191
Textual Notes203
Bibliography222
Index of Names229
Index of Subjects231

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