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Greek, Indian and Arabic Logic

Greek, Indian and Arabic Logic
Author: Dov M. Gabbay
Publisher: Elsevier
Total Pages: 629
Release: 2004-02-06
Genre: Mathematics
ISBN: 0080532861

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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.


Handbook of the history of logic

Handbook of the history of logic
Author: Department of Computer Science Dov M Gabbay
Publisher:
Total Pages: 11
Release: 2012
Genre:
ISBN: 9780444515964

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Logic: A History of its Central Concepts

Logic: A History of its Central Concepts
Author: Dov M. Gabbay
Publisher: Newnes
Total Pages: 706
Release: 2012-12-31
Genre: Mathematics
ISBN: 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


Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: D.M. Gabbay
Publisher: Springer Science & Business Media
Total Pages: 371
Release: 2006-01-17
Genre: Philosophy
ISBN: 1402035217

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The ninth volume of the Second Edition contains major contributions on Rewriting Logic as a Logical and Semantic Framework, Logical Frameworks, Proof Theory and Meaning, Goal Directed Deductions, Negations, Completeness and Consistency as well as Logic as General Rationality. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.


Kant and the Science of Logic

Kant and the Science of Logic
Author: Huaping Lu-Adler
Publisher: Oxford University Press
Total Pages: 304
Release: 2018-09-03
Genre: Philosophy
ISBN: 0190907150

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Immanuel Kant's enduring influence on philosophy is indisputable. In particular, Kant transformed debates on the fundamental questions in logic, and it is the significance and complexity of this accomplishment that Huaping Lu-Adler here explores. Kant's theory of logic represents a turning point in a history of philosophical debates over the following questions: Is logic a science, instrument, standard of assessment, or mixture of these? Kant's official answer to these questions centers on three distinctions: general versus particular logic; pure versus applied logic; pure general logic versus transcendental logic. The true meaning and significance of each distinction becomes clear, Lu-Adler argues, only if we consider two factors. First, Kant was mindful of various historical views on how logic relates to other branches of philosophy and to the workings of common human understanding. Second, he invented "transcendental logic" while struggling to secure metaphysics as a proper "science," and this conceptual innovation in turn held profound implications for his mature theory of logic. Against this backdrop, Lu-Adler reassesses the place of Kant's theory in the history of philosophy of logic and highlights certain issues that are debated today, including normativity of logic and the challenges posed by logical pluralism. Kant and the Science of Logic is both a history of philosophy of logic told from the Kantian viewpoint and a reconstruction of Kant's theory of logic from a historical perspective. It is a vital contribution to the study of Kantian logic.


Predication and Ontology

Predication and Ontology
Author: Alexander Kalbarczyk
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 355
Release: 2018-08-06
Genre: Philosophy
ISBN: 3110591707

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In Predication and Ontology A. Kalbarczyk provides the first monograph-length study of the Arabic reception of Aristotle’s Categories. At the center of attention is the critical reappraisal of that treatise by Ibn Sīnā (d. 428 AH/1037 AD), better known in the Latin West as Avicenna. Ibn Sīnā’s reading of the Categories is examined in the context of his wider project of rearranging the transmitted body of philosophical knowledge. Against the background of the late ancient commentary tradition and subsequent exegetical efforts, Ibn Sīnā’s Kitāb al-Maqūlāt of the Šifāʾ is interpreted as a milestone in the gradual reshuffle of the relationship between logic proper and ontology. In order to assess the philosophical impact of this realignment, some of the subsequent developments in Ibn Sīnā’s writings and in the emerging post-Avicennian tradition are also taken into account. The thematic focus lies on the two fundamental classification schemes which Aristotle introduces in the treatise: the fourfold division of Cat. 2 ("of a subject"/"in a subject") and the tenfold scheme of Cat. 4 (i.e., substance and the nine genera of accidents). They both pose the question of whether and how the manner in which an expression is predicated relates to extra-linguistic reality. As the study intends to show, this question is one of the driving forces of Ibn Sīnā’s momentous reform of the Aristotelian curriculum.


Ancient Self-Refutation

Ancient Self-Refutation
Author: Luca Castagnoli
Publisher: Cambridge University Press
Total Pages: 415
Release: 2010-09-30
Genre: History
ISBN: 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.


Ibn Ṭumlūs (Alhagiag Bin Thalmus d. 620/1223), Compendium on Logic al-Muḫtaṣar fī al-manṭiq

Ibn Ṭumlūs (Alhagiag Bin Thalmus d. 620/1223), Compendium on Logic al-Muḫtaṣar fī al-manṭiq
Author: Fouad Ben Ahmed
Publisher: BRILL
Total Pages: 552
Release: 2019-12-16
Genre: Philosophy
ISBN: 9004400907

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The present volume offers a complete critical Arabic edition of Ibn Ṭumlūs' opus on logic, entitled Compendium on Logic (al-Mukhtaṣar fī al-manṭiq). The text covers all the parts of “the expanded Organon”, as it was known from the time of al-Fārābī to that of Ibn Rushd. With an English and Arabic introduction, notes and indices.


Wonders and Rarities

Wonders and Rarities
Author: Travis Zadeh
Publisher: Harvard University Press
Total Pages: 465
Release: 2023-01-10
Genre: History
ISBN: 0674287649

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“As Zadeh concludes, reformers and modernists have closed the rich and varied archive revealed in Wonders and Rarities...In this beautifully written and engaging text, Zadeh takes his readers back to the world of surprise and enchantment that preceded this closure.”—Malise Ruthven, Financial Times “The wonders and curiosities of the Islamic imagination await discovery by a new generation of readers in this superb and very enjoyable book by Travis Zadeh.”—Orhan Pamuk, winner of the Nobel Prize in Literature The astonishing biography of one of the world’s most influential books. During the thirteenth century, the Persian naturalist and judge Zakariyyāʾ Qazwīnī authored what became one of the most influential works of natural history in the world: Wonders and Rarities. Exploring the dazzling movements of the stars above, the strange minutiae of the minerals beneath the earth, and everything in between, Qazwīnī offered a captivating account of the cosmos. With fine paintings and leading science, Wonders and Rarities inspired generations as it traveled through madrasas and courts, unveiling the magical powers of nature. Yet after circulating for centuries, first in Arabic and Persian, then in Turkish and Urdu, Qazwīnī’s compendium eventually came to stand as a strange, if beautiful, emblem of medieval ignorance. Restoring Qazwīnī to his place as a herald of the rare and astonishing, Travis Zadeh dramatically revises the place of wonder in the history of Islamic philosophy, science, and literature. From the Mongol conquests to the rise of European imperialism and Islamic reform, Zadeh shows, wonder provided an enduring way to conceive of the world—at once constituting an affective reaction, an aesthetic stance, a performance of piety, and a cognitive state. Yet through the course of colonial modernity, Qazwīnī’s universe of marvels helped advance the notion that Muslims lived in a timeless world of superstition and enchantment, unaware of the western hemisphere or the earth’s rotation around the sun. Recovering Qazwīnī’s ideas and his reception, Zadeh invites us into a forgotten world of thought, where wonder mastered the senses through the power of reason and the pleasure of contemplation.