Free Ebook Algebraic Methods in Philosophical Logic (Oxford Logic Guides), by J. Michael Dunn, Gary Hardegree
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Algebraic Methods in Philosophical Logic (Oxford Logic Guides), by J. Michael Dunn, Gary Hardegree
Free Ebook Algebraic Methods in Philosophical Logic (Oxford Logic Guides), by J. Michael Dunn, Gary Hardegree
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This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. The premise of the text is that standard algebraic results (representations) translate into standard logical results (completeness) and it identifies classes of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. Also discused is the idea that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses such as systems of theorems, consequence relations and, symmetric consequence relations.
- Sales Rank: #6060093 in Books
- Brand: Brand: Oxford University Press, USA
- Published on: 2001-08-30
- Original language: English
- Number of items: 1
- Dimensions: 6.00" h x 1.20" w x 9.10" l, 1.76 pounds
- Binding: Hardcover
- 488 pages
- Used Book in Good Condition
Review
"This book provides an introduction tot he algebraic study of classical and non-classical propositional logics. . . . The general theme of the text is to show how standard logical results, such as completeness, are obtained from standard algebraic results, such as representation theorems. . . . Overall, the book is a rich source of information and the authors' style of presentation makes it enjoyable to read." -- Mathematical Reviews
About the Author
J. Michael Dunn is at Indiana University. Gary Hardegree is at University of Massachusetts.
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