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

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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: 5/1/1997
  • Series: Science Networks. Historical Studies Series , #20
  • Edition description: 1997
  • Edition number: 1
  • 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. I The Nature of Logic 1
Ch. II Elementary Treatise on Logic not mathematical including philosophy of mathematical reasoning 13
Ch. III Extracts from a notebook 42
Ch. IV Prolegomena 51
Ch. V On the Foundations of the Mathematical Theory of Logic and on the Philosophical Interpretation of Its Methods and Processes 63
Ch. VI Preparatory Notes 105
Ch. VII General Summary 112
Ch. VIII Preface 119
Ch. IX Table of Contents 121
Ch. X The Philosophy of Reasoning 123
Ch. XI Logic 126
Ch. XII On Belief in Its Relation to the Understanding 157
Ch. XIII The Philosophical Idea of Freedom 162
Ch. XIV Note [to Aristotle] 164
Ch. XV Philosophy of Mathematics 167
Ch. XVI Various fragments, apparently late 179
Ch. XVII Letters to Cayley, Lubbock and Penrose 191
Textual Notes 203
Bibliography 222
Index of Names 229
Index of Subjects 231
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