Greek, Indian and Arabic Logic by Gabbay, Dov M. -- Read -- Imperial Library of Trantor

Index

Cover image Title page Table of Contents Front Matter

Handbook of the History of Logic

Front Matter

Handbook of the History of Logic

Introduction 1 Developing the Conceptual Foundations 2 Concepts and Vocabulary Presupposed by Logic 3 Logic and Definitions 4 Logic and the Method of Division 5 Summary APPENDIX 1 Did Aristotle Base Logic on Solid Foundations? APPENDIX 2 Logic and Grammar: EpistemĒ, TechnĒ Empeiria?

Chapter 2: Aristotle’S Early Logic

1 Biographical Background 2 Motivation 3 Origins 4 Syllogisms in the Generic Sense 5 Why the Fallacies are Important 6 A Logic of Generic Syllogisms 7 Inferentializing the Consequence Relation 8 Aristotle’s Validity 9 Necessities 10 Refutations 11 Ad Hominem Proof 12 Sophistical Refutations Acknowledgements

Chapter 3: Aristotle’s Underlying Logic

1 Introduction 2 Aristotle’s Ancient Model of an Underlying Logic 3 Aristotle’s Logical Methodology for Establishing Deduction Rules 4 Refining the Set of Syllogism Rules 5 Concepts in Aristotle’s Logic 6 Summary of Aristotle’s Accomplishments in Prior Analytics 7 Concluding Remarks Acknowledgements

Chapter 4: Aristotle’s Modal Syllogisms

1 Łukasiewicz’s Assertoric System, Ła 2 Łukasiewicz’s Modal System, ŁM 3 Modern Modal Predicate Logic 4 Mccall’s L-X-M System 5 Semantics for L-X-M 6 The Chain Condition, Relevance Logic and The Ap System 7 Contingent Syllogisms 8 Qlxm’ 9 The Aristotelicity of Qlxm’ 10 Tally of the Two-Premised Q-Valid Syllogisms 11 Extensions

Chapter 5: Indian Logic

Chapter 6: The Megarians and the Stoics

1 Introduction 2 Historical Survey 3 Preliminaries 4 Semantics 5 Lekta 6 Axiōmata 7 The Conditional Axiōma 8 Semantics and Inference 9 Form in Stoic Logic 10 The Linguistic Evidence 11 What Stoic Disjunction May Have Been 12 Stoic Disjunction as a Hyper-Relation

Chapter 7: Arabic Logic

Introductory Comments 1 Limits, Methods and Sources for the Chapter 2 The Translation of the Organon 3 Alfarabi and Avicenna 4 Logic and the Islamic Disciplines 5 Logic After Avicenna 6 Concluding Remarks Acknowledgements A Avicenna’s Modals B Later Modal Logic C Bibliographical Notes

Acknowledgements

Index