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Mathematics The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic (Lecture Notes in Computer Science)

Posted on 2010-04-16




Name:Mathematics The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic (Lecture Notes in Computer Science)
ASIN/ISBN:3540206078
Author:Frithjof Dau
Publisher:Springer (2004)
Pages:Paperback, 213 pages
File size:3.6 Mb
   Mathematics The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic (Lecture Notes in Computer Science)


Author: Frithjof Dau


Publisher: Springer (2004)


Binding: Paperback, 213 pages


pricer: $69.95


ISBN-10: 3540206078


editorialreviews

The aim of contextual logic is to provide a formal theory of elementary logic, which is based on the doctrines of concepts,?judgements, and conclusions. Concepts are mathematized using Formal?Concept Analysis (FCA), while an approach to the formalization of judgements and?conclusions is conceptual graphs, based on Peirce's existential graphs.?Combining FCA?and a mathematization of conceptual graphs yields so-called concept graphs, which offer a formal and diagrammatic theory of elementary logic. Expressing negation in contextual logic is a difficult task. Based on the author's dissertation, this book shows how negation on the level of?judgements can be implemented. To do so, cuts (syntactical devices used to express?negation) are added to concept graphs. As we can express relations between objects, conjunction and negation in judgements, and existential quantification, the author demonstrates that concept graphs with cuts have the expressive power of first-order predicate logic. While doing so, the author?distinguishes between syntax and semantics, and provides a sound and complete?calculus for concept graphs with cuts.?The author's treatment is?mathematically thorough and consistent, and the book gives the necessary?background on existential and conceptual graphs.




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