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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 topicsincluding 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.

Full citation:

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

Akrami Musa

1-12

Homotopical categories of logics

Arndt Peter

13-58

Semi-implication

Avron Arnon

59-72

A formal framework for hypersequent calculi and their fibring

Coniglio Marcelo; Figallo Martín

73-93

Investigating knowledge and opinion

Corcoran John; Samawi Hamid Idris

95-126

The algebra of opposition (and universal logic interpretations)

Diaconescu Răzvan

127-143

Universal logic as a science of patterns

Gaines Brian R.

145-189

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

Guitart René

191-220

The move from one to two quantifiers

Hodges Wilfrid

221-240

On the contrary

Horn Laurence

241-265

Aristotle on language and universal proof

Hudry Jean-Louis

267-281

Béziau on and and or

Humberstone Lloyd

283-307

Universal logic or logics in resemblance families

Jacquette Dale

309-325

Causality and attribution in an Aristotelian theory

Kovač Srećko

327-340

Using each other's words

Kracht Marcus

341-349

On universality and formality in 19th century symbolic logic

Legris Javier

351-359

Caramuel and the "quantification of the predicate"

Lenzen Wolfgang

361-384

Lossy inference rules and their bounds

Makinson David

385-407

Nonsets

Parrochia Daniel

409-421

A roadmap to decidability

Rasga João; Sernadas Cristina; Sernadas Amílcar

423-445

John Buridan on non-contingency syllogisms

Read Stephen

447-456

Symbolic existence in Hugh MacColl

Redmond Juan

457-474

Béziau's contributions to the logical geometry of modalities and quantifiers

Smessaert Hans; Demey Lorenz

475-493

On metalogical relativism

Vasyukov Vladimir L.

495-511

Constructivism and metamathematics

Woleński Jan

513-520