Ancient Logic and Its Modern Interpretations
Ancient Logic and Its Modern Interpretations

Author: J. Corcoran

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 216

ISBN-13: 9401021309

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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 Self-Refutation
Ancient Self-Refutation

Author: Luca Castagnoli

Publisher: Cambridge University Press

Published: 2010-09-30

Total Pages: 415

ISBN-13: 0521896312

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This book-length treatment provides a unified account of what is distinctive in the ancient approach to the self-refutation argument.

The Cambridge Companion to Ancient Logic
The Cambridge Companion to Ancient Logic

Author: Luca Castagnoli

Publisher: Cambridge University Press

Published: 2023-03-31

Total Pages: 445

ISBN-13: 1107062942

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A state-of-the-art overview of ancient logic for students and scholars, with in-depth analyses of its central themes.

Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method
Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method

Author: Carlo Cellucci

Publisher: Springer Science & Business Media

Published: 2013-10-09

Total Pages: 391

ISBN-13: 9400760914

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This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. trigger

Logic: A History of its Central Concepts
Logic: A History of its Central Concepts

Author: Dov M. Gabbay

Publisher: Newnes

Published: 2012-12-31

Total Pages: 706

ISBN-13: 0080931707

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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

Exploring Topics in the History and Philosophy of Logic
Exploring Topics in the History and Philosophy of Logic

Author: George Englebretsen

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-09-14

Total Pages: 273

ISBN-13: 3110433818

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While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.

The Modes of Scepticism
The Modes of Scepticism

Author: Julia Annas

Publisher: Cambridge University Press

Published: 1985-05-23

Total Pages: 220

ISBN-13: 9780521276443

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Although the Hellenistic classic has had an enormous impact on Western thought when rediscovered in the sixteenth century, it has remained neglected in recent times. This new translation should interest laymen as well as professional scholars and philosophers.