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George Boole

Selected Manuscripts on Logic and its Philosophy

  • Ivor Grattan-Guinness
  • Gérard Bornet

Part of the Science Networks · Historical Studies book series (SNHS, volume 20)

Table of contents

  1. Front Matter
    Pages i-lxiv
  2. The Nature of Logic and the Philosophy of Mathematics

    1. Front Matter
      Pages lxv-lxv
    2. Ivor Grattan-Guinness, Gérard Bornet
      Pages 1-12
    3. Ivor Grattan-Guinness, Gérard Bornet
      Pages 42-48
  3. The Philosophical Interpretation of a Theory of Logic

    1. Front Matter
      Pages 49-49
    2. Ivor Grattan-Guinness, Gérard Bornet
      Pages 51-62
    3. Ivor Grattan-Guinness, Gérard Bornet
      Pages 105-111
    4. Ivor Grattan-Guinness, Gérard Bornet
      Pages 112-116
  4. “The Philosophy of Logic” - A Sequel to “The Laws of Thought”

    1. Front Matter
      Pages 117-117
    2. Ivor Grattan-Guinness, Gérard Bornet
      Pages 119-120
    3. Ivor Grattan-Guinness, Gérard Bornet
      Pages 121-122
    4. Ivor Grattan-Guinness, Gérard Bornet
      Pages 123-125
    5. Ivor Grattan-Guinness, Gérard Bornet
      Pages 126-153
  5. Miscellaneous Matters, Letters and Fragments

    1. Front Matter
      Pages 155-155
    2. Ivor Grattan-Guinness, Gérard Bornet
      Pages 157-161
    3. Ivor Grattan-Guinness, Gérard Bornet
      Pages 162-163
    4. Ivor Grattan-Guinness, Gérard Bornet
      Pages 164-166
    5. Ivor Grattan-Guinness, Gérard Bornet
      Pages 167-178
    6. Ivor Grattan-Guinness, Gérard Bornet
      Pages 179-190
    7. Ivor Grattan-Guinness, Gérard Bornet
      Pages 191-202
  6. Back Matter
    Pages 203-236

About this book

Introduction

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.

Keywords

Arithmetic Finite The Philosophy of Mathematics algebra calculus formal logic geometry logic mathematics philosophy of logic proposition science syllogism symbolic logic

Editors and affiliations

  • Ivor Grattan-Guinness
    • 1
  • Gérard Bornet
    • 2
  1. 1.Middlesex UniversityMiddlesexGreat Britain
  2. 2.Philosophisches SeminarUniversité MiséricordeFribourgSwitzerland

Bibliographic information