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The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic: 2892 (Lecture Notes in Computer Science) - Softcover
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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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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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- VerlagSpringer
- Erscheinungsdatum2009
- ISBN 10 3540206078
- ISBN 13 9783540206071
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten228
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The Logic System of Concept Graphs with Negation and its Relationship to Predicate Logic (=Lecture Notes in Artificial Intelligence, 2892)
Verlag:
Springer, 2003, 2003
ISBN 10: 3540206078
ISBN 13: 9783540206071
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The Logic System of Concept Graphs with Negation
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ISBN 10: 3540206078
ISBN 13: 9783540206071
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 for. Bestandsnummer des Verkäufers 4884739
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The Logic System of Concept Graphs with Negation
ISBN 10: 3540206078
ISBN 13: 9783540206071
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Taschenbuch. Zustand: Neu. 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 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 232 pp. Englisch. Bestandsnummer des Verkäufers 9783540206071
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The Logic System of Concept Graphs with Negation : And Its Relationship to Predicate Logic
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783540206071
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The Logic System of Concept Graphs with Negation
Verlag:
Springer Berlin Heidelberg Nov 2003, 2003
ISBN 10: 3540206078
ISBN 13: 9783540206071
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Taschenbuch. Zustand: Neu. 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. Bestandsnummer des Verkäufers 9783540206071
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