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The road to universal logic I

Festschrift for 50th birthday of Jean-Yves Béziau

Édité parArnold Koslow Arthur Buchsbaum

Résumé

This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. 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 Woleński. 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, Schröder, 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.

Détails | Table des matières

Ibn sīnā's two-partite versus nine-partite logicography Musa Akrami

pp.1-12

https://doi.org/10.1007/978-3-319-10193-4_1

Homotopical categories of logics Peter Arndt

pp.13-58

https://doi.org/10.1007/978-3-319-10193-4_2

Semi-implication

a chapter in universal logic

Arnon Avron

pp.59-72

https://doi.org/10.1007/978-3-319-10193-4_3

A formal framework for hypersequent calculi and their fibring Marcelo Coniglio Martín Figallo

pp.73-93

https://doi.org/10.1007/978-3-319-10193-4_4

Investigating knowledge and opinion John Corcoran Idris Samawi Hamid

pp.95-126

https://doi.org/10.1007/978-3-319-10193-4_5

The algebra of opposition (and universal logic interpretations) Răzvan Diaconescu

pp.127-143

https://doi.org/10.1007/978-3-319-10193-4_6

Universal logic as a science of patterns Brian R. Gaines

pp.145-189

https://doi.org/10.1007/978-3-319-10193-4_7

Hexagonal logic of the field $mathbb{f}_{8}$ as a boolean logic with three involutive modalities René Guitart

pp.191-220

https://doi.org/10.1007/978-3-319-10193-4_8

The move from one to two quantifiers Wilfrid Hodges

pp.221-240

https://doi.org/10.1007/978-3-319-10193-4_9

On the contrary

disjunctive syllogism and pragmatic strengthening

Laurence Horn

pp.241-265

https://doi.org/10.1007/978-3-319-10193-4_10

Aristotle on language and universal proof Jean-Louis Hudry

pp.267-281

https://doi.org/10.1007/978-3-319-10193-4_11

Béziau on and and or Lloyd Humberstone

pp.283-307

https://doi.org/10.1007/978-3-319-10193-4_12

Universal logic or logics in resemblance families Dale Jacquette

pp.309-325

https://doi.org/10.1007/978-3-319-10193-4_13

Causality and attribution in an Aristotelian theory Srećko Kovač

pp.327-340

https://doi.org/10.1007/978-3-319-10193-4_14

Using each other's words Marcus Kracht

pp.341-349

https://doi.org/10.1007/978-3-319-10193-4_15

On universality and formality in 19th century symbolic logic

the case of Schröder's "absolute algebra"

Javier Legris

pp.351-359

https://doi.org/10.1007/978-3-319-10193-4_16

Caramuel and the "quantification of the predicate" Wolfgang Lenzen

pp.361-384

https://doi.org/10.1007/978-3-319-10193-4_17

Lossy inference rules and their bounds

a brief review

David Makinson

pp.385-407

https://doi.org/10.1007/978-3-319-10193-4_18

Nonsets Daniel Parrochia

pp.409-421

https://doi.org/10.1007/978-3-319-10193-4_19

A roadmap to decidability João Rasga Cristina Sernadas Amílcar Sernadas

pp.423-445

https://doi.org/10.1007/978-3-319-10193-4_20

John Buridan on non-contingency syllogisms Stephen Read

pp.447-456

https://doi.org/10.1007/978-3-319-10193-4_21

Symbolic existence in Hugh MacColl

a dialogical approach

Juan Redmond

pp.457-474

https://doi.org/10.1007/978-3-319-10193-4_22

Béziau's contributions to the logical geometry of modalities and quantifiers Hans Smessaert Lorenz Demey

pp.475-493

https://doi.org/10.1007/978-3-319-10193-4_23

On metalogical relativism Vladimir L. Vasyukov

pp.495-511

https://doi.org/10.1007/978-3-319-10193-4_24

Constructivism and metamathematics Jan Woleński(Uniwersytet Jagielloński)

pp.513-520

https://doi.org/10.1007/978-3-319-10193-4_25

Détails de la publication

Maison d'édition: Birkhäuser

Lieu de publication: Basel

Année: 2015

Pages: 520

Collection: Studies in Universal Logic

ISBN (hardback): 978-3-319-10192-7

ISBN (digital): 978-3-319-10193-4

Citation complète:

Koslow Arnold, Buchsbaum Arthur (éd.), 2015, The road to universal logic I: Festschrift for 50th birthday of Jean-Yves Béziau. Basel, Birkhäuser.