This is the first of three volumes of a collection of papers in honor of the sixtieth birthday of Jean-Yves Béziau.

The papers have been written by outstanding logicians, mathematicians, historians, and philosophers of logic, and they reflect the current state of the art in research on universal logic and its applications. This book covers a wide range of problems across various fields, including general logic, non-classical logic, the square and other geometrical figures of opposition, philosophy and history of logic, as well as the cultural patterns of thought and the rational or irrational features of love.

The volume offers insights that will be of interest to all students and researchers interested in the nature and future of logic.

Ioannis Vandoulakis holds a PhD from Moscow Lomonosov State University and is a founding member of the “Semiotics of Logic and Reasoning” Research Group. He has held research and teaching positions at institutions including the Russian Academy of Sciences, CNRS (Paris), and universities in Greece, Cyprus, and others across Europe and Brazil. He serves on editorial boards of international journals and is Vice President of the Logica Universalis Association. He is also co-president of the International Society for the Interdisciplinary Study of Symmetry and a member of several mathematical and logic associations.

Alex Citkin holds a PhD from the Institute of Mathematics in Moldova. He previously held a research position at Uzhhorod State University in Ukraine and is currently the Chief Information Officer at Metropolitan Telecommunications in New York. He is a prominent figure in mathematical logic, with a career spanning Soviet-era academia and a leadership role in the technology sector in the United States. He is known for his profound contributions to non-classical logic, particularly the algebraic study of logical systems, with a special emphasis on Heyting algebras, intermediate and modal logics, admissible rules, and characteristic formulas. His work bridges algebra, logic, and the history of logic, and continues to exert a significant influence on the study of admissibility, characteristic formulas, and algebraic semantics.

Tatiana Denisova holds a PhD from Novosibirsk State Technical University. Retired Professor of Philosophy and former Dean of the Faculty of Social Technologies at the University of Surgut. A member of the “Semiotics of Logic and Reasoning” Research Group and multiple academic societies. She served as Editor-in-Chief of the journal Northern Region: Science, Education and Culture, and co-edited the volume “Styles of Discourse” of the Polish Journal of Aesthetics. Her primary research interests lie in phenomenological ontology and metaphysics, hermeneutics, the history of ancient philosophy, art history, logic and semiotics, and the philosophy of science and technology. She is renowned for her research on the metaphysics of loneliness, the ontologies of time, space, and boundaries.

Caroline Pires Ting is a Postdoctoral Research Fellow in Philosophy at the Federal University of Rio de Janeiro, with a PhD in Arts and Contemporary Culture. She manages international relations for the Logica Universalis Association and Museu.XYZ, Brazil’s first metaverse museum. She contributes a regular column to Hoje Macau. Dr. Ting holds degrees from Paris-Diderot and Panthéon-Sorbonne, has worked at the Musée du Louvre and Petit Palais, and has trained at academies in Russia and New York. A recipient of the A-Ma Literature Prize, her research focused on intercultural aesthetics and comparative art history.