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Around and Beyond the Square of Opposition

Author: Jean-Yves Béziau

Publisher: Springer Science & Business Media

Published: 2012-05-10

Total Pages: 370

ISBN-13: 3034803796

The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

The Square of Opposition

Author: Jean-Yves Beziau

Publisher: Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften

Published: 2012

Total Pages: 0

ISBN-13: 9783034305372

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Papers ... "selected from a larger number of contributions most of them based on talks presented at the First World Congress on the Square of Opposition organized in Montreux in June 2007"--Preface, p. 12.

The Square of Opposition: A Cornerstone of Thought

Author: Jean-Yves Béziau

Publisher: Birkhäuser

Published: 2017-03-10

Total Pages: 329

ISBN-13: 331945062X

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This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.

Introduction to Logic and Logical Discourse

Author: Satya Sundar Sethy

Publisher: Springer Nature

Published: 2021-06-12

Total Pages: 283

ISBN-13: 9811626898

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This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.

Aristotelian Logic

Author: William Thomas Parry

Publisher: SUNY Press

Published: 1991-01-01

Total Pages: 560

ISBN-13: 9780791406892

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Proceedings of an international research and development conference, Tuscon, Arizona, October 1985. One hundred and twenty-eight papers are presented in this hefty volume. They are grouped into chapters covering climate, underutilized plants, irrigation and water management, biosphere reserves, water policy, animal resources, desert ecology, crop physiology and agronomy, urban environments, desertification, land intensification, and other topics related to the economy and management of arid lands. Provides detailed treatment of topics in traditional logic: theory of terms, theory of definition, informal fallacies, and division and classification.

Possibility and Necessity in the Time of Peter Abelard

Author: Irene Binini

Publisher: BRILL

Published: 2021-10-11

Total Pages: 334

ISBN-13: 9004470468

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This book offers a major reassessment of Abelard’s modal logic and theory of modalities, and provides a comprehensive study of the 12th-century context in which his views originated and developed, by analysing many logical sources that are still unedited and mostly unexplored.

The Exoteric Square of Opposition

Author: Jean-Yves Beziau

Publisher: Springer Nature

Published: 2022-08-23

Total Pages: 480

ISBN-13: 3030908232

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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.

Intermediate Quantities

Author: Philip Peterson

Publisher: Routledge

Published: 2020-07-24

Total Pages: 281

ISBN-13: 1000160440

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This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.