Around And Beyond The Square Of Opposition

Author : Jean-Yves Béziau
Publisher : Springer Science & Business Media
ISBN 13 : 3034803796
Total Pages : 370 pages
Book Rating : 4.93/5 ( download)

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Download or read book Around and Beyond the Square of Opposition written by Jean-Yves Béziau and published by Springer Science & Business Media. This book was released on 2012-05-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

Author : Jean-Yves Béziau
Publisher : Birkhäuser
ISBN 13 : 331945062X
Total Pages : 329 pages
Book Rating : 4.29/5 ( download)

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Download or read book The Square of Opposition: A Cornerstone of Thought written by Jean-Yves Béziau and published by Birkhäuser. This book was released on 2017-03-10 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jean-Yves Beziau
Publisher : Springer Nature
ISBN 13 : 3030908232
Total Pages : 480 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Exoteric Square of Opposition written by Jean-Yves Beziau and published by Springer Nature. This book was released on 2022-08-23 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mateja Jamnik
Publisher : Springer
ISBN 13 : 3319423339
Total Pages : 306 pages
Book Rating : 4.33/5 ( download)

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Download or read book Diagrammatic Representation and Inference written by Mateja Jamnik and published by Springer. This book was released on 2016-07-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th InternationalConference on the Theory and Application of Diagrams, Diagrams 2016,held in Philadelphia, PA, USA, in August 2016. The 12 revised full papers and 11 short papers presented together with 5 posters were carefully reviewed and selected from 48 submissions. The papers are organized in the following topical sections: cognitive aspects of diagrams; logic and diagrams; Euler and Venn diagrams; diagrams and education; design principles for diagrams; diagrams layout.

Author : Henning Christiansen
Publisher : Springer
ISBN 13 : 3319255916
Total Pages : 555 pages
Book Rating : 4.10/5 ( download)

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Download or read book Modeling and Using Context written by Henning Christiansen and published by Springer. This book was released on 2015-12-14 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 9th International and Interdisciplinary Conference on Modeling and Using Context, CONTEXT 2015, held in Larnaca, Cyprus, in November 2015. The 33 full papers and 13 short papers presented were carefully reviewed and selected from 91 submissions. The main theme of CONTEXT 2015 was "Back to the roots", focusing on the importance of interdisciplinary cooperations and studies of the phenomenon. Context, context modeling and context comprehension are central topics in linguistics, philosophy, sociology, artificial intelligence, computer science, art, law, organizational sciences, cognitive science, psychology, etc. and are also essential for the effectiveness of modern, complex and distributed software systems. CONTEXT 2015 embedded also a Doctoral Symposium, and three workshops; Smart University 3.0; CATI: Context Awareness and Tactile Design for Mobile Interaction; and SHAPES 3.0: The Shape of Things.

Author : Tim Dwyer
Publisher : Springer
ISBN 13 : 3662440431
Total Pages : 311 pages
Book Rating : 4.38/5 ( download)

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Download or read book Diagrammatic Representation and Inference written by Tim Dwyer and published by Springer. This book was released on 2014-07-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on the Theory and Application of Diagrams, Diagrams 2014, held in Melbourne, VIC, Australia in July/August 2014. The 15 revised full papers and 9 short papers presented together with 6 posters were carefully reviewed and selected from 40 submissions. The papers have been organized in the following topical sections: diagram layout, diagram notations, diagramming tools, diagrams in education, empirical studies and logic and diagrams.

Author : Jean-Yves Beziau
Publisher : Springer
ISBN 13 : 8132227190
Total Pages : 542 pages
Book Rating : 4.99/5 ( download)

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Download or read book New Directions in Paraconsistent Logic written by Jean-Yves Beziau and published by Springer. This book was released on 2016-02-08 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book discusses all aspects of paraconsistent logic, including the latest findings, and its various systems. It includes papers by leading international researchers, which address the subject in many different ways: development of abstract paraconsistent systems and new theorems about them; studies of the connections between these systems and other non-classical logics, such as non-monotonic, many-valued, relevant, paracomplete and fuzzy logics; philosophical interpretations of these constructions; and applications to other sciences, in particular quantum physics and mathematics. Reasoning with contradictions is the challenge of paraconsistent logic. The book will be of interest to graduate students and researchers working in mathematical logic, computer science, philosophical logic, linguistics and physics.

Author : Dale Jacquette
Publisher : Cambridge University Press
ISBN 13 : 1108365043
Total Pages : 684 pages
Book Rating : 4.48/5 ( download)

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Download or read book Frege written by Dale Jacquette and published by Cambridge University Press. This book was released on 2019-04-04 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottlob Frege (1848–1925) is one of the founding figures of analytic philosophy, whose contributions to logic, philosophical semantics, philosophy of language, and philosophy of mathematics set the agenda for future generations of theorists in these and related areas. Dale Jacquette's lively and incisive biography charts Frege's life from its beginnings in small-town north Germany, through his student days in Jena, to his development as an enduringly influential thinker. Along the way Jacquette considers Frege's ground-breaking Begriffschrift (1879), in which he formulated his 'ideal logical language', his magisterial Grundgesetze der Arithmetik (1893 and 1903), and his complex relation to thinkers including Husserl and especially Russell, whose Paradox had such drastic implications for Frege's logicism. Jacquette concludes with a thoughtful assessment of Frege's legacy. His rich and informative biography will appeal to all who are interested in Frege's philosophy.

Author : Peter Chapman
Publisher : Springer
ISBN 13 : 331991376X
Total Pages : 831 pages
Book Rating : 4.66/5 ( download)

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Download or read book Diagrammatic Representation and Inference written by Peter Chapman and published by Springer. This book was released on 2018-06-07 with total page 831 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised full papers and 28 short papers presented together with 32 posters were carefully reviewed and selected from 124 submissions. The papers are organized in the following topical sections: generating and drawing Euler diagrams; diagrams in mathematics; diagram design, principles and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; Peirce and existential graphs; and logic and diagrams.

Author : Arnold Koslow
Publisher : Birkhäuser
ISBN 13 : 3319153684
Total Pages : 607 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Road to Universal Logic written by Arnold Koslow and published by Birkhäuser. This book was released on 2015-06-10 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.