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Ancient Logic and Its Modern Interpretations

Ancient Logic and Its Modern Interpretations PDF Author: J. Corcoran
Publisher: Springer Science & Business Media
ISBN: 9401021309
Category : Philosophy
Languages : en
Pages : 216

Book Description
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

Ancient Logic and Its Modern Interpretations PDF Author: J. Corcoran
Publisher: Springer Science & Business Media
ISBN: 9401021309
Category : Philosophy
Languages : en
Pages : 216

Book Description
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

Ancient Logic and Its Modern Interpretations PDF Author: John Corcoran
Publisher:
ISBN:
Category : Logique ancienne - Congrès
Languages : en
Pages : 211

Book Description


Ancient Logic and Its Modern Interpretations

Ancient Logic and Its Modern Interpretations PDF Author: J. Corcoran
Publisher:
ISBN: 9789401021319
Category :
Languages : en
Pages : 232

Book Description


Ancient Self-Refutation

Ancient Self-Refutation PDF Author: Luca Castagnoli
Publisher: Cambridge University Press
ISBN: 0521896312
Category : History
Languages : en
Pages : 415

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

Aristotle's Modal Logic

Aristotle's Modal Logic PDF Author: Richard Patterson
Publisher: Cambridge University Press
ISBN: 9780521522335
Category : Philosophy
Languages : en
Pages : 308

Book Description
This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.

Ancient Logic and Its Modern Interpretations

Ancient Logic and Its Modern Interpretations PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


The Cambridge Companion to Ancient Logic

The Cambridge Companion to Ancient Logic PDF Author: Luca Castagnoli
Publisher: Cambridge University Press
ISBN: 1107062942
Category : Mathematics
Languages : en
Pages : 445

Book Description
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 PDF Author: Carlo Cellucci
Publisher: Springer Science & Business Media
ISBN: 9400760914
Category : Philosophy
Languages : en
Pages : 391

Book Description
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 PDF Author: Dov M. Gabbay
Publisher: Newnes
ISBN: 0080931707
Category : Mathematics
Languages : en
Pages : 706

Book Description
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 PDF Author: George Englebretsen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110433818
Category : Philosophy
Languages : en
Pages : 273

Book Description
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.