A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, including previously unpublished research results. For the benefit of readers without formal training in mathematics, the text starts with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras, based on Huntington's postulate. It defines operators for elimination, division, and expansion, providing a coherent and systematic basis for subsequent discussions of syllogistic reasoning, the solution of Boolean...
A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, ...
This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole 12, 13] and devel- oped by others, notably Schroder 178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole's equation- based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole's language routinely-remain largely unaware of its utility as a medium for reasoning. The...
This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole 12, 13] and devel- ...
This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole 12, 13] and devel- oped by others, notably Schroder 178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole's equation- based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole's language routinely-remain largely unaware of its utility as a medium for reasoning. The...
This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole 12, 13] and devel- ...