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 This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.


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.


Aristotelian Logic

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.


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.


Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap

Author: Max Cresswell

Publisher: Cambridge University Press

Published: 2016-09-15

Total Pages: 365

ISBN-13: 1316760456

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Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.


The Aftermath of Syllogism

The Aftermath of Syllogism

Author: Marco Sgarbi

Publisher: Bloomsbury Publishing

Published: 2018-01-25

Total Pages: 233

ISBN-13: 1350043532

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Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.


Introduction to Logic and Logical Discourse

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

Aristotelian Logic

Author: William T. Parry

Publisher: State University of New York Press

Published: 1991-09-03

Total Pages: 560

ISBN-13: 1438415575

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This book provides detailed treatment of topics in traditional logic: the theory of terms; the theory of definition; the informal fallacies; and division and classification. Aristotelian Logic teaches techniques for solving semantic problems — problems caused by confusion over terminology. It teaches the theory of definition — the different kinds of definition and the criteria by which each is judged. It also teaches that definitions are like tools in that some are better suited for a particular task than others. Several chapters are devoted to informal fallacies. A new classification is given for them, and the concept of proof is presented, without which some of the traditional informal fallacies cannot be explained adequately. Another chapter is devoted to division and classification, which occurs in all of the sciences. Other topics covered include the square of opposition, immediate inferences, and the syllogistic and chain arguments.