Greek, Indian and Arabic Logic

Greek, Indian and Arabic Logic PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080532861
Category : Mathematics
Languages : en
Pages : 629

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Book Description
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.

Greek, Indian and Arabic Logic

Greek, Indian and Arabic Logic PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080532861
Category : Mathematics
Languages : en
Pages : 629

Get Book Here

Book Description
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.

How Greek Science Passed On To The Arabs

How Greek Science Passed On To The Arabs PDF Author: Delacy O'Leary
Publisher: Routledge
ISBN: 1317847482
Category : Social Science
Languages : en
Pages : 152

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Book Description
First published in 2002. The history of science is one of knowledge being passed from community to community over thousands of years, and this is the classic account of the most influential of these movements -how Hellenistic science passed to the Arabs where it took on a new life and led to the development of Arab astronomy and medicine which flourished in the courts of the Muslim world, later passing on to medieval Europe. Starting with the rise of Hellenism in Asia in the wake of the campaigns of Alexander the Great, O'Leary deals with the Greek legacy of science, philosophy, mathematics and medicine and follows it as it travels across the Near East propelled by religion, trade and conquest. Dealing in depth with Christianity as a Hellenizing force, the influence of the Nestorians and the Monophysites; Indian influences by land and sea and the rise of Buddhism, O'Leary then focuses on the development of science during the Baghdad Khalifate, the translation of Greek scientific material into Arabic, and the effect for all those interested in the history of medicine and science, and of historical geography as well as the history of the Arab world.

Handbook of Philosophical Logic

Handbook of Philosophical Logic PDF Author: D.M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 1402035217
Category : Philosophy
Languages : en
Pages : 371

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Book Description
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.

Mediaeval and Renaissance Logic

Mediaeval and Renaissance Logic PDF Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 0080560857
Category : History
Languages : en
Pages : 727

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Book Description
Starting at the very beginning with Aristotle's founding contributions, logic has been graced by several periods in which the subject has flourished, attaining standards of rigour and conceptual sophistication underpinning a large and deserved reputation as a leading expression of human intellectual effort. It is widely recognized that the period from the mid-19th century until the three-quarter mark of the century just past marked one of these golden ages, a period of explosive creativity and transforming insights. It has been said that ignorance of our history is a kind of amnesia, concerning which it is wise to note that amnesia is an illness. It would be a matter for regret, if we lost contact with another of logic's golden ages, one that greatly exceeds in reach that enjoyed by mathematical symbolic logic. This is the period between the 11th and 16th centuries, loosely conceived of as the Middle Ages. The logic of this period does not have the expressive virtues afforded by the symbolic resources of uninterpreted calculi, but mediaeval logic rivals in range, originality and intellectual robustness a good deal of the modern record. The range of logic in this period is striking, extending from investigation of quantifiers and logic consequence to inquiries into logical truth; from theories of reference to accounts of identity; from work on the modalities to the stirrings of the logic of relations, from theories of meaning to analyses of the paradoxes, and more. While the scope of mediaeval logic is impressive, of greater importance is that nearly all of it can be read by the modern logician with at least some prospect of profit. The last thing that mediaeval logic is, is a museum piece.Mediaeval and Renaissance Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and AI, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas.- Provides detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

Handbook of the History of Logic: Greek, Indian, and Arabic logic

Handbook of the History of Logic: Greek, Indian, and Arabic logic PDF Author: Dov M. Gabbay
Publisher:
ISBN:
Category : Logic
Languages : en
Pages :

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Book Description


The Development of Arabic Logic (1200–1800)

The Development of Arabic Logic (1200–1800) PDF Author: Khaled El-Rouayheb
Publisher: Schwabe Verlag (Basel)
ISBN: 3796539378
Category : Philosophy
Languages : en
Pages : 338

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Book Description
Recent years have seen a dramatic change in scholarly views of the later career of Arabic and Islamic philosophy. For much of the twentieth century, researchers tended to dismiss the value of Arabic writings on philosophy and logic after the twelfth century, often on the basis of the prejudice that handbooks, commentaries and glosses are of necessity pedantic and unoriginal. This assumption has now been abandoned. As a consequence, a vast amount of later Arabic writings on philosophy and logic, hitherto neglected, are now being studied and edited. The present work is an attempt at giving an overview of the development of Arabic logic from 1200 to 1800, identifying major themes, figures and works in this period, while taking into account regional differences within the Islamic world. It offers a corrective to Nicholas Rescher's seminal but now outdated The Development of Arabic Logic, published in 1964.

The Oxford Handbook of Islamic Philosophy

The Oxford Handbook of Islamic Philosophy PDF Author: Khaled El-Rouayheb
Publisher: Oxford University Press
ISBN: 0199917388
Category : Philosophy
Languages : en
Pages : 721

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Book Description
The study of Islamic philosophy has entered a new and exciting phase in the last few years. Both the received canon of Islamic philosophers and the narrative of the course of Islamic philosophy are in the process of being radically questioned and revised. Most twentieth-century Western scholarship on Arabic or Islamic philosophy has focused on the period from the ninth century to the twelfth. It is a measure of the transformation that is currently underway in the field that, unlike other reference works, the Oxford Handbook has striven to give roughly equal weight to every century, from the ninth to the twentieth. The Handbook is also unique in that its 30 chapters are work-centered rather than person- or theme-centered, in particular taking advantage of recent new editions and translations that have renewed interest and debate around the Islamic philosophical canon. The Oxford Handbook of Islamic Philosophy gives both the advanced student and active scholar in Islamic philosophy, theology, and intellectual history, a strong sense of what a work in Islamic philosophy looks like and a deep view of the issues, concepts, and arguments that are at stake. Most importantly, it provides an up-to-date portrait of contemporary scholarship on Islamic philosophy.

Classical Arabic Philosophy

Classical Arabic Philosophy PDF Author:
Publisher: Hackett Publishing
ISBN: 1603840338
Category : Philosophy
Languages : en
Pages : 462

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Book Description
This volume introduces the major classical Arabic philosophers through substantial selections from the key works (many of which appear in translation for the first time here) in each of the fields--including logic, philosophy of science, natural philosophy, metaphysics, ethics, and politics--to which they made significant contributions. An extensive Introduction situating the works within their historical, cultural, and philosophical contexts offers support to students approaching the subject for the first time, as well as to instructors with little or no formal training in Arabic thought. A glossary, select bibliography, and index are also included.

Predication and Ontology

Predication and Ontology PDF Author: Alexander Kalbarczyk
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110591979
Category : Philosophy
Languages : en
Pages : 356

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Book Description
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. This monograph has been awarded the Iran World Award for Book of the Year (2020).

The Elements of Avicennaʼs Physics

The Elements of Avicennaʼs Physics PDF Author: Andreas Lammer
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110546795
Category : Philosophy
Languages : en
Pages : 614

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Book Description
This study is the first comprehensive analysis of the physical theory of the Islamic philosopher Avicenna (d. 1037). It seeks to understand his contribution against the developments within the preceding Greek and Arabic intellectual milieus, and to appreciate his philosophy as such by emphasising his independence as a critical and systematic thinker. Exploring Avicenna’s method of "teaching and learning," it investigates the implications of his account of the natural body as a three-dimensionally extended composite of matter and form, and examines his views on nature as a principle of motion and his analysis of its relation to soul. Moreover, it demonstrates how Avicenna defends the Aristotelian conception of place against the strident criticism of his predecessors, among other things, by disproving the existence of void and space. Finally, it sheds new light on Avicenna’s account of the essence and the existence of time. For the first time taking into account the entire range of Avicenna’s major writings, this study fills a gap in our understanding both of the history of natural philosophy in general and of the philosophy of Avicenna in particular. This monograph has been awarded the annual BRAIS – De Gruyter Prize (Kulturpreis Bayern) in the Study of Islam and the Muslim World and the Iran World Award for Book of the Year (2020).