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 Béziau. 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 Béziau 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 Németi, Henri Prade.
These essays will be of interest to all students and researchers interested in the nature and future of logic.
Mục lục
1. Katarzyna Gan-Krzywoszyńska (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 Andréka and Istvan Németi: 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. Régis Angot-Pélissier: The relation between logic, set theory and topos theory as it is used by Alain Badiou.- 8. Jonas Becker Arenhart and Décio Krause: Potentiality and Contradiction in Quantum Mechanics.- 9. Diderik Batens: Two, many and differently many.- 10. Hilan Bensusan, Alexandre Costa-Leite and Edelcio Gonçalves de Souza: Logics and their galaxies.- 11. Otavio Bueno: Can Identity be relativized?.- 12.Luis Estrada-González: 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. Sérgio 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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