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Author: Jean-Yves Beziau Publisher: Springer Science & Business Media ISBN: 3764383542 Category : Mathematics Languages : en Pages : 247
Book Description
Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.
Author: Jean-Yves Beziau Publisher: Springer Science & Business Media ISBN: 3764383542 Category : Mathematics Languages : en Pages : 247
Book Description
Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.
Author: Janusz Czelakowski Publisher: Springer ISBN: 331974772X Category : Philosophy Languages : en Pages : 476
Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Author: Arnold Koslow Publisher: Birkhäuser ISBN: 3319153684 Category : Mathematics Languages : en Pages : 607
Book Description
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.
Author: Jean-Yves Beziau Publisher: Springer Nature ISBN: 3030908232 Category : Mathematics Languages : en Pages : 480
Book Description
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: Marcos Silva Publisher: Springer ISBN: 331967398X Category : Philosophy Languages : en Pages : 326
Book Description
This edited volume explores the different and seminal ways colours matter to philosophy. Each chapter provides an insightful analysis of one or more cases in which colours raise philosophical problems in different areas and periods of philosophy. This historically informed discussion examines both logical and linguistic aspects, covering such areas as the mind, aesthetics and the foundations of mathematics. The international contributors look at traditional epistemological and metaphysical issues on the subjectivity and objectivity of colours. In addition, they also assess phenomenological problems typical of the continental tradition and contemporary problems in the philosophy of mind. The chapters include coverage of such topics as Newton’s and Goethe’s theory of light and colours, how primary qualities are qualitative and colours are primary, explaining colour phenomenology, and colour in cognition, language and philosophy. "This book beautifully prepares the ground for the next steps in our research on and philosophising about colour" Daniel D. Hutto (University of Wollongong) "It is not an overstatement to say that How Colours to Philosophy is a ground breaking publication" Mazviita Chirimuuta (University of Pittsburgh) "Anyone interested in philosophical issues about color will find it highly stimulating." Martine Nida-Rümelin (Université de Fribourg) "The high quality papers included in this anthology succeed admirably in enriching current philosophical thinking about colour” Erik Myin (University of Antwerp) “This is certainly the most complete collection of philosophical essays on colours ever published” André Leclerc (University of Brasília) “All in all this collections represents a new milestone in the ongoing philosophical debate on colours and colour expressions” Ingolf Max (University of Leipzig)
Author: Jens Lemanski Publisher: Springer Nature ISBN: 3030330907 Category : Mathematics Languages : en Pages : 318
Book Description
The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.
Author: Joao Paulo Carvalho Publisher: Springer ISBN: 3319405810 Category : Computers Languages : en Pages : 840
Book Description
This two volume set (CCIS 610 and 611) constitute the proceedings of the 16th International Conference on Information processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2016, held in Eindhoven, The Netherlands, in June 2016. The 127 revised full papers presented together with four invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy measures and integrals; uncertainty quantification with imprecise probability; textual data processing; belief functions theory and its applications; graphical models; fuzzy implications functions; applications in medicine and bioinformatics; real-world applications; soft computing for image processing; clustering; fuzzy logic, formal concept analysis and rough sets; graded and many-valued modal logics; imperfect databases; multiple criteria decision methods; argumentation and belief revision; databases and information systems; conceptual aspects of data aggregation and complex data fusion; fuzzy sets and fuzzy logic; decision support; comparison measures; machine learning; social data processing; temporal data processing; aggregation.
Author: Jean-Yves Béziau Publisher: Springer Science & Business Media ISBN: 3034803796 Category : Mathematics Languages : en Pages : 370
Book Description
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 Beziau
Author: Jean-Yves Beziau
Author: Janusz Czelakowski
Author: Timothy J. Madigan
Author: Arnold Koslow
Author: Jean-Yves Beziau
Author: Marcos Silva
Author: Jens Lemanski
Author: Joao Paulo Carvalho
Author: Jean-Yves Béziau
Author: