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E-grāmata: Arabic Logic from al-Farabi to Averroes: A Study of the Early Arabic Categorical, Modal, and Hypothetical Syllogistics

  • Formāts: EPUB+DRM
  • Sērija : Studies in Universal Logic
  • Izdošanas datums: 27-Nov-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030274665
  • Formāts - EPUB+DRM
  • Cena: 94,58 €*
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  • Formāts: EPUB+DRM
  • Sērija : Studies in Universal Logic
  • Izdošanas datums: 27-Nov-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030274665

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This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an expansive historical context. By thoroughly examining the writings of the first Arabic logicians, al-Frb, Avicenna and Averroes, the author analyzes their respective theories, discusses their relationship to the syllogistics of Aristotle and his followers, and measures their influence on later logical systems.





Beginning with an introduction to the writings of the most prominent Arabic logicians, the author scrutinizes these works to determine their categorical logic, as well as their modal and hypothetical logics. Where most other studies written on this subject focus on the Arabic logicians epistemology, metaphysics, and theology, this volume takes a unique approach by focusing on the actual technical aspects and features of their logics. The author then moves on to examine theoriginal texts as closely as possible and employs the symbolism of modern propositional, predicate, and modal logics, rendering the arguments of each logician clearly and precisely while clarifying the theories themselves in order to determine the differences between the Arabic logicians systems and those of Aristotle. By providing a detailed examination of theories that are still not very well-known in Western countries, the author is able to assess the improvements that can be found in the Arabic writings, and to situate Arabic logic within the breadth of the history of logic.





This unique study will appeal mainly to historians of logic, logicians, and philosophers who seek a better understanding of the Arabic tradition. It also will be of interest to modern logicians who wish to delve into the historical aspects and progression of their discipline. Furthermore, this book will serve as a valuable resource for graduate students who wish to complement their general knowledge of Arabic culture, logic, and sciences.

Recenzijas

The book is perfectly readable as it is and serves as a solid and well-organized introduction to Arabic logic. (Jeff Oaks, MAA Reviews, March 20, 2022)

1 General Introduction
1(8)
References
7(2)
2 The Rise of Arabic Logic: Authors, Translations, Topics
9(10)
References
17(2)
3 Categorical Logic
19(128)
3.1 Conceptions and Assents
19(6)
3.2 The Oppositions Between Categorical Propositions
25(38)
3.2.1 The Oppositions of Categorical Propositions in al-Farabi's Frame
28(8)
3.2.2 Avicenna's Absolutes and Their Opposites
36(21)
3.2.3 The Oppositions in Averroes' Theory
57(6)
3.3 The Syllogistic
63(70)
3.3.1 Al-Farabi's Syllogistic
63(33)
3.3.2 Avicenna's Syllogistic
96(26)
3.3.3 Averroes' Syllogistic
122(11)
3.4 Further Developments
133(8)
3.4.1 The Fourth Figure in the Arabic Tradition
133(1)
3.4.2 Ibn al-Salah on the Fourth Figure
134(7)
3.5 Conclusion
141(6)
References
143(4)
4 Modal Logic
147(116)
4.1 The Modal Propositions
147(13)
4.1.1 The Modal Propositions in al-Farabi's Frame
147(3)
4.1.2 The Modal Propositions in Avicenna's Frame
150(8)
4.1.3 The Modal Propositions in Averroes' Frame
158(2)
4.2 The Modal Oppositions
160(6)
4.2.1 The Modal Oppositions in al-Farabi's Frame
160(2)
4.2.2 The Modal Oppositions in Avicenna's System
162(3)
4.2.3 The Modal Oppositions in Averroes' Frame
165(1)
4.3 The Modal Syllogistic
166(92)
4.3.1 Avicenna's Modal Syllogistic
170(55)
4.3.2 The Modal Syllogistic in Averroes' System
225(33)
4.4 Conclusion
258(5)
References
261(2)
5 The Hypothetical Logic
263(86)
5.1 The Hypothetical Syllogisms
264(72)
5.1.1 The Stoic Hypothetical Syllogisms
264(2)
5.1.2 The Hypothetical Syllogisms in Arabic Logic
266(18)
5.1.3 The Compound Syllogisms
284(52)
5.2 The Reductio Ad Absurdum (Qiyas al-Khalf)
336(8)
5.2.1 The Reductio Ad Absurdum in al-Farabi's Frame
336(3)
5.2.2 The Reductio Ad Absurdum in Avicenna's Frame
339(3)
5.2.3 The Reductio Ad Absurdum in Averroes' Frame
342(2)
5.3 Conclusion
344(5)
References
346(3)
6 General Conclusion
349(7)
References 356(1)
Chapter References 357(8)
Index of Names 365(4)
Subject Index 369
Saloua Chatti is a Professor of Philosophy and Logic in the Faculty of Human and Social Sciences at the University of Tunis.