Ancient Logic And Its Modern Interpretations
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Ancient Logic And Its Modern Interpretations
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Author : J. Corcoran
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ancient Logic And Its Modern Interpretations written by J. Corcoran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
During the last half century there has been revolutionary progress in logic and in logic-related areas such as linguistics. HistoricaI knowledge of the origins of these subjects has also increased significantly. Thus, it would seem that the problem of determining the extent to which ancient logical and linguistic theories admit of accurate interpretation in modern terms is now ripe for investigation. The purpose of the symposium was to gather logicians, philosophers, linguists, mathematicians and philologists to present research results bearing on the above problem with emphasis on logic. Presentations and discussions at the symposium focused themselves into five areas: ancient semantics, modern research in ancient logic, Aristotle's logic, Stoic logic, and directions for future research in ancient logic and logic-related areas. Seven of the papers which appear below were originally presented at the symposium. In every case, discussion at the symposium led to revisions, in some cases to extensive revisions. The editor suggested still further revisions, but in every case the author was the finaljudge of the work that appears under his name.
Ancient Logic And Its Modern Interpretations
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Author : J. Corcoran
language : en
Publisher:
Release Date : 1974-03-31
Ancient Logic And Its Modern Interpretations written by J. Corcoran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-03-31 with categories.
Ancient Logic And Its Modern Interpretations
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Author : John Corcoran
language : en
Publisher:
Release Date : 1974
Ancient Logic And Its Modern Interpretations written by John Corcoran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Logic, Ancient categories.
Logic A History Of Its Central Concepts
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Author : Dov M. Gabbay
language : en
Publisher: Newnes
Release Date : 2012-12-31
Logic A History Of Its Central Concepts written by Dov M. Gabbay and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Mathematics categories.
The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. - Covers in depth the notion of logical consequence - Discusses the central concept in logic of modality - Includes the use of diagrams in logical reasoning
Ancient Logic And Its Modern Interpretations
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Author : John Corcoran
language : en
Publisher:
Release Date : 1974
Ancient Logic And Its Modern Interpretations written by John Corcoran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Logique ancienne - Congrès categories.
Aristotle S Organon In Old And New Logic
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Author : Colin Guthrie King
language : en
Publisher: Bloomsbury Publishing
Release Date : 2025-01-23
Aristotle S Organon In Old And New Logic written by Colin Guthrie King and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-23 with Philosophy categories.
Aristotle's Organon in Old and New Logic 18001950 explores the reception and interpretation of Aristotle's logic over the last two centuries. The volume covers seminal works during this period by logicians, historians of logic, and historians of philosophy, including John Lloyd Akrill, Francesco Barone, Günther Patzig, Enrico Berti, and Mario Mignucci. Contributors consider the reception of the Organon in old logic and chart the appearance of formal approaches to logic beginning with Boole. This in-depth study of Aristotelianism also covers logic in Kant and Hegel, alongside the problems and projects of interpreting Aristotle in the new logic after Boole and Frege. The background of modern debates concerning induction and abduction provides further insight into Aristotelian logic during the period. By filling gaps in our understanding of Aristotelian logic, this book provides a fundamental missing link in 21st century studies of the history of Aristotelianism. It brings together scholars of both ancient and modern logic to understand the interpretation of ancient logic before and after the development of the modern, algebraic approach to logic.
The Logic Of Gersonides
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Author : Charles H. Manekin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Logic Of Gersonides written by Charles H. Manekin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
In the great libraries of Europe and the United States, hidden in fading manuscripts on forgotten shelves, lie the works of medieval Hebrew logic. From the end of the twelfth century through the Renaissance, Jews wrote and translated commentaries and original compositions in Aristotelian logic. One can say without exaggeration that wherever Jews studied philosophy - Spain, France, Northern Africa, Germany, Palestine - they began their studies with logic. Yet with few exceptions, the manuscripts that were catalogued in the last century have failed to arouse the interest of modem scholars. While the history of logic is now an established sub-discipline of the history of philosophy, the history of Hebrew logic is only in its infancy. The present work contains a translation and commentary of what is arguably the greatest work of Hebrew logic, the Sefer ha-Heqqesh ha-Yashar (The Book of the Correct Syllogism) of Levi ben Gershom (Gersonides; 1288-1344). Gersonides is well known today as a philosopher, astronomer, mathematician, and biblical exegete. But in the Middle Ages he was also famous for his prowess as a logician. The Correct Syllogism is his attempt to construct a theory of the syllogism that is free of what he considers to be the 'mistakes' of Aristotle, as interpreted by the Moslem commentator A verroes. It is an absorbing, challenging work, first written by Gersonides when he was merely thirty-one years old, then significantly revised by him. The translation presented here is of the revised version.
A Boole Anthology
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Author : James Gasser
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
A Boole Anthology written by James Gasser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Philosophy categories.
Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.
Greek Indian And Arabic Logic
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2004-02-06
Greek Indian And Arabic Logic written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-06 with Mathematics categories.
Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central.In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world.Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value.Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas.
Language Logic And Mathematics In Schopenhauer
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Author : Jens Lemanski
language : en
Publisher: Springer Nature
Release Date : 2020-06-08
Language Logic And Mathematics In Schopenhauer written by Jens Lemanski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with Mathematics categories.
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.