Description of a Notation for the Logic of Relatives (Classic Reprint)

Charles Sanders Peirce

ISBN 10: 1333840667 / ISBN 13: 9781333840662

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book explores the logic of relatives, a branch of formal logic that deals with relationships between objects. The author expands upon the work of previous thinkers such as De Morgan and Boole, seeking to develop a comprehensive system for understanding the formal laws governing relative terms. The book's exploration of relative terms places it within a broader historical context of formal logic, which has sought to establish a rigorous framework for reasoning and inference. The author's ambition is to create a more robust and encompassing system of logic that can handle the complexity of relative terms, going beyond the logic of absolute terms that dominated the field in Boole's time. The book delves into the thematic depth of logic by introducing a novel notation system for relative terms, utilizing letters, numbers, and symbols to represent relationships and operations. The author demonstrates how this system can be used to express and analyze complex logical statements involving relationships between individuals and classes. The book's innovative notation and analysis of relative terms offers a powerful tool for understanding and formalizing reasoning about relationships, demonstrating the potential for expanding the reach and scope of formal logic. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781333840662_0

Bibliographic Details

• Title: Description of a Notation for the Logic of Relatives (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1333840667
• ISBN 13: 9781333840662
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Logic

About this title

Synopsis

A new symbolic approach to the logic of relatives, expanding Boole’s calculus for clearer inferences.

This work presents a specialized notation that extends early logic to cover absolute, relative, and conjugative terms. It explains how algebraic signs can express inclusion, equality, and complex relational structures, offering a systematic way to draw inferences from relational statements. The pages frame a spectrum of ideas, from the classification of logical terms to the use of letters, numbers, and operations for rigorous argument. It introduces rules for addition, multiplication, and involution, and it explores infinitesimals and higher-order relations, all aimed at making the logic of relations more precise and applicable.

• Clear definitions of absolute, relative, and conjugative terms and how they interrelate
• Algebraic signs for inclusion, equality, and logical operations
• Techniques for forming and manipulating complex relational statements
• Insights into the extension of Boole’s calculus to broader areas of logic

Ideal for readers interested in the history and development of logical notation, relational logic, and the groundwork for modern algebra of relations.