The road to universal logic : festschrift for the 50th birthday of Jean-Yves Beziau
著者
書誌事項
The road to universal logic : festschrift for the 50th birthday of Jean-Yves Beziau
（Studies in universal logic）
Birkhäuser , Springer, c2015
- v. 1 : [pbk.]
- v. 2 : [pbk.]
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注記
Includes bibliographic references
内容説明・目次
- 巻冊次
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v. 1 : [pbk.] ISBN 9783319101927
内容説明
This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Beziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Wolenski. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schroeder, MacColl).
This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
目次
Preface.- Ibn Sina's Two-Partite versus Nine-Partite Logicography by Musa Akrami.- Homotopical categories of logics by Peter Arndt.- Semi-implication: A Chapter in Universal Logic by Arnon Avron.- A Formal Framework for Hypersequent Calculi and their Fibring by Marcelo Esteban Coniglio and Martin Figallo.- Investigating Knowledge and Opinion by John Corcoran and Idris Samawi Ha.- The Algebra of Opposition (and universal logic interpretations) by Razvan Diaconescu.- Universal Logic as the Science of Patterns by Brian Gaines.- Hexagonal Logic of the Field F8 as a Boolean Logic with Three Involutive Modalities by Rene Guitart.- The move from one to two quantifiers by Wilfrid Hodges.- On the Contrary: Disjunctive Syllogism and Pragmatic Strengthening by Laurence Horn.- Aristotle on Language and Universal Proof by Jean-Louis Hudry.- Beziau on And and Or by Lloyd Humberstone.- Universal Logic or Logics in Resemblance Families by Dale Jacquette.- Causality and Attribution in an Aristotelian Theory by Srecko Kovac.- Using Each Other's Words by Marcus Kracht.- On Universality and Formality in 19th Century Symbolic Logic: The Case of Schroeder's "Absolute Algebra" by Javier Legris.- Caramuel and the "Quantification of the Predicate" by Wolfgang Lenzen.- Lossy Inference Rules and their Bounds: a Brief Review by David Makinson and James Hawthorne.- Nonsets by Daniel Parrochia.- A Roadmap to Decidability by Joao Rasga, Cristina Sernadas and Amilcar Sernadas.- John Buridan on Non-Contingency Syllogisms by Stephen Read.- Symbolic Existence in Hugh MacColl: a dialogical approach by Juan Redmond.- Beziau's Contributions to the Logical Geometry of Modalities and Quantifiers by Hans Smessaert and Lorenz Demey.- On Metalogical Pluralism by Vladimir L. Vasyukov.- Constructivism and Metamathematics by Jan Wolenski.
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- 巻冊次
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v. 2 : [pbk.] ISBN 9783319153674
内容説明
This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Beziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert).
The volume gathers personal recollections about Jean-Yves Beziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Nemeti, Henri Prade.
These essays will be of interest to all students and researchers interested in the nature and future of logic.
目次
1. Katarzyna Gan-Krzywoszynska (edited by): Personal recollections about JYB by Newton da Costa and others.- 2. Jean-Yves Beziau: Logical Autobiography 50.- 3. Marcos Antonio Alves and Itala M. Loffredo D'Ottaviano: A quantitative-informational approach to logical consequence.- 4. Hajnal Andreka and Istvan Nemeti: Finite-variable logics do not have weak Beth definability property.- 5. Irving Anellis: Peirce's Role in the History of Logic: Lingua Universalis and Calculus Ratiocinator.- 6. Ignacio Angelelli: The Meaning(s) of "is": Normative vs. Naturalistic Views of Language.- 7. Regis Angot-Pelissier: The relation between logic, set theory and topos theory as it is used by Alain Badiou.- 8. Jonas Becker Arenhart and Decio Krause: Potentiality and Contradiction in Quantum Mechanics.- 9. Diderik Batens: Two, many and differently many.- 10. Hilan Bensusan, Alexandre Costa-Leite and Edelcio Goncalves de Souza: Logics and their galaxies.- 11. Otavio Bueno: Can Identity be relativized?.- 12. Luis Estrada-Gonzalez: From (paraconsistent) topos logic to Universal (topos) Logic.- 13. Yvon Gauthier: A Note on the Internal Logic of Constructive Mathematics: The Gel'fond-Schneider Theorem in Transcendental Number Theory.- 14. I. Grattan-Guinness: Is logic universal or hierarchical?.- 15. Dany Jaspers: The English Tenses, Blanche and the Logical Kite.- 16. Azriel Laufer and Dov Gabbay: Topological Aspects of Matrix Abduction 1.- 17. Mai Ben Adar Bessos and Dov Gabbay: Topological Aspects of Matrix Abduction 2.- 18. Sergio Marcelino, Carlos Caleiro and Pedro Baltazar: Deciding theoremhood in fibred logics without shared connectives.- 19. Amirouche Moktefi and Fabien Schang: On rules and refereeing in football.- 20. Alessio Moretti: Arrow - Hexagons.- 21. Till Mossakowski, Mihai Codescu, Fabian Neuhaus, and Oliver Kutz: The Distributed Ontology, Modelling and Specification Language - DOL.- 22. Sergei Odintsov: Belnap constants and Nelson logic.- 23. Hitoshi Omori and Toshiharu Waragai: Negative modalities in the light of paraconsistency.- 24. Olga Pombo: Operativity and Representativity of the Sign in Leibniz.- 25. Henri Prade and Didier Dubois: Being consistent about inconsistency: Toward the rational fusing of inconsistent propositional logic bases.- 26. Giuseppe Primiero: Realist consequence, epistemic inference, computational correctness.- 27. Christian de Ronde: Epistemological and Ontological Paraconsistency in Quantum Mechanics: For and Against Bohrian Philosophy.
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