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The Exoteric Square of Opposition
The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel’s opposition to diagrams De Morgan’s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan’s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.
V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics
This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-sp...
AN INTRODUCTION TO ARISTOTLE’S METAPHYSICS OF TIME
This study of Greek time before Aristotle’s philosophy starts with a commentary on his first text, the Protrepticus. We shall see two distinct forms of time emerge: one initiatory, circular and Platonic in inspiration, the other its diametrical opposite, advanced by Aristotle. We shall explore this dichotomy through a return to poetic conceptions. The Tragedians will give us an initial outline of the notion of time in the Greek world (Fate); we shall then turn to Homer in order to better grasp the complex relations between time and the religious sphere (the Hero); the work of the great theologian Hesiod will confirm this initiatory vision, later set out in remarkable fashion by Nietzsche (...
Computational Creativity Research: Towards Creative Machines
Computational Creativity, Concept Invention, and General Intelligence in their own right all are flourishing research disciplines producing surprising and captivating results that continuously influence and change our view on where the limits of intelligent machines lie, each day pushing the boundaries a bit further. By 2014, all three fields also have left their marks on everyday life – machine-composed music has been performed in concert halls, automated theorem provers are accepted tools in enterprises’ R&D departments, and cognitive architectures are being integrated in pilot assistance systems for next generation airplanes. Still, although the corresponding aims and goals are clearl...
Diagrammatic Representation and Inference
This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Diagrams, Diagrams 2024, held in Münster, Germany, during September 27–October 1, 2024. The 17 full papers, 19 short papers and 11 papers of other types included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: Keynote Talks; Analysis of Diagrams; Euler and Venn Diagrams; Diagrams in Logic; Diagrams and Applications; Diagram Tools; Historical Aspects of Diagrams; and Posters.
Trends in the Historiography of Science
The articles in this volume have been first presented during an international Conference organised by the Greek Society for the History of Science and Technology in June 1990 at Corfu. The Society was founded in 1989 and planned to hold a series of meetings to impress upon an audience comprised mainly by Greek students and scholars, the point that history of science is an autonomous discipline with its own plurality of approaches developed over the years as a result of long discussions and disputes within the community of historians of science. The Conference took place at a time when more and more people came to realise that the future of the Greek Universities and Research Centres depends ...
The Confusion between Art and Design
In the past century the borders have blurred between art and design. Designers, artists, aestheticians, curators, art and design critics, historians and students all seem confused about these borders. Figurative painting was reduced to graphic design while still being called 'art'. Figurative sculpture was reduced to nonfunctional industrial design while being called 'sculpture'. This fundamental blunder resulted from total misunderstanding of the concept of "abstraction" by the founders of modern art. Comprehensive analysis shows that so-called "abstract art" is neither abstract nor art, but a very simple, even trivial, kind of design. In this book the prehistoric, philosophical, logical, h...
