The Logic System of Concept Graphs with Negation
Language: English
Published by Springer Berlin Heidelberg Nov 2003, 2003
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 47.38
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -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 FormalConcept Analysis (FCA), while an approach to the formalization of judgements andconclusions is conceptual graphs, based on Peirce's existential graphs.Combining FCAand 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 ofjudgements can be implemented. To do so, cuts (syntactical devices used to expressnegation) 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 authordistinguishes between syntax and semantics, and provides a sound and completecalculus for concept graphs with cuts.The author's treatment ismathematically thorough and consistent, and the book gives the necessarybackground on existential and conceptual graphs. 232 pp. Englisch.…
Seller Inventory # 9783540206071
- Title
- The Logic System of Concept Graphs with Negation
- Author
- Frithjof Dau
- Publisher
- Springer Berlin Heidelberg Nov 2003
- Publication year
- 2003
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3540206078
- ISBN 13
- 9783540206071
- Item weight
- 359 grams
- Dimensions
- 235x155x13 mm
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.
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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