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Logic networks and automata are facets of digital systems. The change of the design of logic networks from skills and art into a scientific discipline was possible by the development of the underlying mathematical theory called the Switching Theory. The fundamentals of this theory come from the attempts towards an algebraic description of laws of thoughts presented in the works by George J. Boole and the works on logic by Augustus De Morgan.
As often the case in engineering, when the importance of a problem and the need for solving it reach certain limits, the solutions are searched by many scholars in different parts of the word, simultaneously or at about the same time, however, quite independently and often unaware of the work by other scholars. The formulation and rise of Switching Theory is such an example.
This book presents a brief account of the developments of Switching Theory and highlights some less known facts in the history of it. The readers will find the book a fresh look into the development of the field revealing how difficult it has been to arrive at many of the concepts that we now consider obvious . Researchers in the history or philosophy of computing will find this book a valuable source of information that complements the standard presentations of the topic.
Mathematical Foundations
From Logic to Mathematical Logic
Revival of Study of Logic in Britain
Elements of Logic by Whately
Ten Rules of Philosophizing by Herschel
Inductive Science by Whewell
Mill and a System of Logic
Boolean Logic
Formal Logic by De Morgan
Work on Logic by Boole
Mathematical Analysis of Logic
The Calculus of Logic
The Laws of Thought
Boolean Algebra
Work on Logic by Jevons
Jevons and Boole
Mechanization of Boolean Logic
Contributions of P.S. Poreckij
Algebra of Logic
Algebra of Logic by Schröder
Contributions by Ch. S. Peirce
Venn Diagrams
Boolean Algebra – A Mathematical Subject
Axiomatization by Huntington
Boolean Algebra – A Strong Mathematical Subject
Switching Theory
Application of Algebra of Logic in Engineering
Remarks and Ideas by P. Ehrnfest
Switching Theory – From Art and Skills to Scientific
Methods
Switching Theory from Boolean Algebra
Review of the Work by Shannon
Review by Baylis
Switching Theory in USSR
Pioneering Work by Šhestakov
Contributions by Other Researchers
Switching Theory in Japan
Akira Nakashima
Nakashima and Hanzawa
Continuation of Research
Switching Theory in Europe
Johanna Piesch
Vienna School in Switching
Postscript
Switching Theory
Boolean Algebra
Algebra of Logic
Work by G. J. Boole
Work by Platon S. Poreckij
Applications of Boolean Algebra
First Applications of Algebra of Logic in Circuit Design
Work by V. I. Šestakov
Work by C. E. Shannon
Work by A. Nakashima
Work by J. Piesch
References in the Postscript
List of Illustrations