Boolean Reasoning: The Logic of Boolean Equations

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9780792391210: Boolean Reasoning: The Logic of Boolean Equations

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 aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole's methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole's "algebra of logic" and the predicate calculus. Boole's approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex­ tensions or modifications of Boole's algebra. These efforts met with only limited success.

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About the Author:

Frank Markham Brown is Professor Emeritus of the School of Engineering at the Air Force Institute of Technology.

Review:

"The author writes very well . . . provid[ing] a solid foundational (graduate-level) text for mathematicians, engineers, and logicians . . . the author does a good job of drawing examples from the field of logic designed to illustrate useful applications of theory."

"Sobre este título" puede pertenecer a otra edición de este libro.

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Descripción Springer, 1990. Hardback. Estado de conservación: NEW. 9780792391210 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0284540

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Descripción Springer, Netherlands, 1990. Hardback. Estado de conservación: New. 1990 ed.. Language: English . Brand New Book ***** Print on Demand *****.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 aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole s methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole s algebra of logic and the predicate calculus. Boole s approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex- tensions or modifications of Boole s algebra. These efforts met with only limited success. Nº de ref. de la librería APC9780792391210

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Descripción Springer, 1990. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería INGM9780792391210

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Frank Markham Brown
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Descripción Springer, Netherlands, 1990. Hardback. Estado de conservación: New. 1990 ed.. Language: English . Brand New Book ***** Print on Demand *****. 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 aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole s methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole s algebra of logic and the predicate calculus. Boole s approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex- tensions or modifications of Boole s algebra. These efforts met with only limited success. Nº de ref. de la librería APC9780792391210

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