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Constructive Negations and Paraconsistency - Odintsov, Sergei P.
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Odintsov, Sergei P.:
Constructive Negations and Paraconsistency - pocketboek

2010, ISBN: 9048177448, Lieferbar binnen 4-6 Wochen Verzendingskosten:Versandkostenfrei innerhalb der BRD

ID: 9789048177448

Internationaler Buchtitel. In englischer Sprache. Verlag: Springer-Verlag GmbH, Paperback, 248 Seiten, L=235mm, B=155mm, H=13mm, Gew.=380gr, [GR: 15220 - HC/Philosophie/Allgemeines, Lexika], Kartoniert/Broschiert, Klappentext: This book presents the author's recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial theories, i.e., the logics which allow making inferences in non-trivial fashion from an inconsistent set of hypotheses. Logics in which all inconsistent theories are trivial are called explosive. In the intuitionistic logic Li, the negation is defined as reduction to absurdity. The concept of strong negation is realized in the Nelson logic N3. Both logics are explosive and have paraconsistent analogs: Johansson's logic Lj and paraconsistent Nelson's logic N4. It will be shown that refusing the explosion axiom "contradiction implies everything" does not lead to decrease of the expressive power of a logic. To understand, which new expressive possibilities have the logics Lj and N4 as compared to the explosive logics Li and N3, we study the lattices of extensions of the logics Lj and N4. This is the first case when lattices of paraconsistent logics are systematically investigated. The study is based on algebraic methods, demonstrates the remarkable regularity and the similarity of structures of both lattices of logics, and gives essential information on the paraconsistent nature of logics Lj and N4.The methods developed in this book can be applied to the investigation of other classes of paraconsistent logics. This book presents the author's recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial theories, i.e., the logics which allow making inferences in non-trivial fashion from an inconsistent set of hypotheses. Logics in which all inconsistent theories are trivial are called explosive. In the intuitionistic logic Li, the negation is defined as reduction to absurdity. The concept of strong negation is realized in the Nelson logic N3. Both logics are explosive and have paraconsistent analogs: Johansson's logic Lj and paraconsistent Nelson's logic N4. It will be shown that refusing the explosion axiom "contradiction implies everything" does not lead to decrease of the expressive power of a logic. To understand, which new expressive possibilities have the logics Lj and N4 as compared to the explosive logics Li and N3, we study the lattices of extensions of the logics Lj and N4. This is the first case when lattices of paraconsistent logics are systematically investigated. The study is based on algebraic methods, demonstrates the remarkable regularity and the similarity of structures of both lattices of logics, and gives essential information on the paraconsistent nature of logics Lj and N4.The methods developed in this book can be applied to the investigation of other classes of paraconsistent logics.

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Constructive Negations and Paraconsistency - Sergei Odintsov
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Sergei Odintsov:
Constructive Negations and Paraconsistency - nieuw boek

ISBN: 9789048177448

This book presents the author’s recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial theories, i.e., the logics which allow making inferences in non-trivial fashion from an inconsistent set of hypotheses. Logics in which all inconsistent theories are trivial are called explosive. In the intuitionistic logic Li, the negation is defined as reduction to absurdity. The concept of strong negation is realized in the Nelson logic N3. Both logics are explosive and have paraconsistent analogs: Johansson’s logic Lj and paraconsistent Nelson’s logic N4. It will be shown that refusing the explosion axiom "contradiction implies everything" does not lead to decrease of the expressive power of a logic. To understand, which new expressive possibilities have the logics Lj and N4 as compared to the explosive logics Li and N3, we study the lattices of extensions of the logics Lj and N4. This is the first case when lattices of paraconsistent logics are systematically investigated. The study is based on algebraic methods, demonstrates the remarkable regularity and the similarity of structures of both lattices of logics, and gives essential information on the paraconsistent nature of logics Lj and N4.The methods developed in this book can be applied for investigation of other classes of paraconsistent logics. Books Books ~~ Philosophy~~ Logic Constructive-Negations-and-Paraconsistency~~Sergei-P-Odintsov Springer Netherlands This book presents the author's recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial theories, i.e., the logics which allow making inferences in non-trivial fashion from an inconsistent set of hypotheses. Logics in which all inconsistent theories are trivial are called explosive. In the intuitionistic logic Li, the negation is defined as reduction to absurdity. The concept of strong negation is realized in the Nelson logic N3. Both logics are explosive and have paraconsistent analogs: Johansson's logic Lj and paraconsistent Nelson's logic N4. It will be shown that refusing the explosion axiom "contradiction implies everything" does not lead to decrease of the expressive power of a logic. To understand, which new expressive possibilities have the logics Lj and N4 as compared to the explosive logics Li and N3, we study the lattices of extensions of the logics Lj and N4. This is the first case when lattices of paraconsistent logics are systematically investigated. The study is based on algebraic methods, demonstrates the remarkable regularity and the similarity of structures of both lattices of logics, and gives essential information on the paraconsistent nature of logics Lj and N4.The methods developed in this book can be applied to the investigation of other classes of paraconsistent logics.

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Constructive Negations and Paraconsistency - Sergei Odintsov
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Constructive Negations and Paraconsistency - pocketboek

ISBN: 9789048177448

ID: 9789048177448

Philosophy; Logic; Mathematical Logic and Foundations Lattice of logics, Minimal logic, Nelson's logic, Paraconsistency, Strong negation, logic Books Book (Paperback Initiative), Springer Science+Business Media

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Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic. Verzendingskosten: EUR 0.00
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Odintsov, Sergei: Constructive Negations and Paraconsistency
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Odintsov, Sergei: Constructive Negations and Paraconsistency - nieuw boek

2008, ISBN: 9789048177448

ID: 661512357

Trends in Logic. Softcover reprint of hardcover 1st ed. 2008. Trends in Logic. Softcover reprint of hardcover 1st ed. 2008. Bücher > Wissenschaft > Philosophie

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Constructive Negations and Paraconsistency - Sergei P. Odintsov
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Sergei P. Odintsov:
Constructive Negations and Paraconsistency - pocketboek

2010, ISBN: 9789048177448

ID: 15588281

1st ed. Softcover of orig. ed. 2008, Softcover, Buch, [PU: Springer]

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Constructive Negations and Paraconsistency

This book presents the author's recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial theories, i.e., the logics which allow making inferences in non-trivial fashion from an inconsistent set of hypotheses. Logics in which all inconsistent theories are trivial are called explosive. In the intuitionistic logic Li, the negation is defined as reduction to absurdity. The concept of strong negation is realized in the Nelson logic N3. Both logics are explosive and have paraconsistent analogs: Johansson's logic Lj and paraconsistent Nelson's logic N4. It will be shown that refusing the explosion axiom "contradiction implies everything" does not lead to decrease of the expressive power of a logic. To understand, which new expressive possibilities have the logics Lj and N4 as compared to the explosive logics Li and N3, we study the lattices of extensions of the logics Lj and N4. This is the first case when lattices of paraconsistent logics are systematically investigated. The study is based on algebraic methods, demonstrates the remarkable regularity and the similarity of structures of both lattices of logics, and gives essential information on the paraconsistent nature of logics Lj and N4.The methods developed in this book can be applied to the investigation of other classes of paraconsistent logics.

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EAN (ISBN-13): 9789048177448
ISBN (ISBN-10): 9048177448
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
248 Bladzijden
Gewicht: 0,380 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 09.11.2011 01:29:31
Boek voor het laatst gevonden op 26.06.2017 19:50:22
ISBN/EAN: 9789048177448

ISBN - alternatieve schrijfwijzen:
90-481-7744-8, 978-90-481-7744-8


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