An Investigation of the Laws of Thought,Used

An Investigation of the Laws of Thought,Used

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A classic of pure mathematics and symbolic logic ... the publisher is to be thanked for making it available.' Scientific AmericanGeorge Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, 'Pure mathematics was discovered by George Boole in his work published in 1854.'This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation.The enormous range of this work can be seen from chapter headings: Nature and Design of This Work; Signs and Their Laws; Derivation of Laws; Division of Propositions; Principles of Symbolical Reasoning; Interpretation; Elimination; Reduction; Methods of Abbreviation; Conditions of a Perfect Method; Secondary Propositions; Methods in Secondary Propositions; Clarke and Spinoza; Analysis, Aristotelian Logic; Theory of Probabilities; General Method in Probabilities; Elementary Illustrations; Statistical Conditions; Problems on Causes; Probability of Judgments; Constitution of the Intellect. This last chapter, Constitution of the Intellect, is a very significant analysis of the psychology of discovery and scientific method.

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Frequently Asked Questions

  • Q: What is the main subject of 'An Investigation of the Laws of Thought'? A: 'An Investigation of the Laws of Thought' primarily focuses on the foundations of symbolic logic and the principles of mathematical reasoning. It discusses how algebraic methods can be applied to classical logic.
  • Q: Who is the author of this book? A: The author of 'An Investigation of the Laws of Thought' is George Boole, a prominent mathematician known for his contributions to logic and mathematics in the 19th century.
  • Q: What are the key topics covered in this book? A: The book covers a wide range of topics including the nature of mathematical reasoning, signs and their laws, principles of symbolical reasoning, and methods in probabilities, among others.
  • Q: When was 'An Investigation of the Laws of Thought' published? A: 'An Investigation of the Laws of Thought' was published on June 1, 1958.
  • Q: What is the format of the book? A: The book is available in paperback format and contains a total of 448 pages.
  • Q: Is this book suitable for beginners in mathematics? A: While 'An Investigation of the Laws of Thought' is a classic work in mathematics and logic, it may be more suitable for readers with some background in these subjects due to its advanced concepts.
  • Q: What condition is the book in? A: The book is listed in 'Good' condition, indicating that it has been used but is still in a satisfactory state for reading.
  • Q: Does the book include any illustrations or examples? A: While the book is primarily text-based, it does include various examples to illustrate the principles of symbolic logic and probability.
  • Q: Can this book be used for academic study? A: Yes, 'An Investigation of the Laws of Thought' is often referenced in academic studies related to mathematics, logic, and philosophy, making it a valuable resource for students and scholars.
  • Q: What makes this book significant in the field of mathematics? A: The book is significant because it presents a modern view of mathematics as a deductive science and introduces foundational concepts of symbolic logic, influencing future developments in these fields.