Around and Beyond the Square of Opposition
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

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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 This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

Aristotelian Logic
Aristotelian Logic

Author: William T. Parry

Publisher: SUNY Press

Published: 1991-09-03

Total Pages: 560

ISBN-13: 9780791406908

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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.

The Square of Opposition: A Cornerstone of Thought
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.

The Square of Opposition
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 Exoteric Square of Opposition
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.

Aristotle's De Interpretatione
Aristotle's De Interpretatione

Author: C. W. A. Whitaker

Publisher: Oxford University Press

Published: 2002

Total Pages: 252

ISBN-13: 9780199254194

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Aristotle's treatise De Interpretatione is one of his central works; it continues to be the focus of much attention and debate. C. W. A. Whitaker presents the first systematic study of this work, and offers a radical new view of its aims, its structure, and its place in Aristotle's system,basing this view upon a detailed chapter-by-chapter analysis.By treating the work systematically, rather than concentrating on certain selected passages, Whitaker is able to show that, contrary to traditional opinion, it forms an organized and coherent whole. He argues that the De Interpretatione is intended to provide the underpinning for dialectic, thesystem of argument by question and answer set out in Aristotle's Topics; and he rejects the traditional view that the De Interpretatione concerns the assertion and is oriented towards the formal logic of the Prior Analytics. In doing so, he sheds valuable new light on some of Aristotle's mostfamous texts.

The Structure of Aristotelian Logic
The Structure of Aristotelian Logic

Author: James Wilkinson Miller

Publisher: Routledge

Published: 2015-08-14

Total Pages: 97

ISBN-13: 1317375424

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Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.