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Table of contents
- Cover
- Table of Contentsv
- Prefacevii
- List of Contributorsix
- Chapter 1 Logic before 1100: The Latin Tradition1
- 1 INTRODUCTION1
- 2 THE ANCIENT LATIN TRADITION2
- 3 CAROLINGIAN BEGINNINGS22
- 4 THE DEVELOPMENT OF A BOETHIAN TRADITION38
- 5 THE ELEVENTH CENTURY: LOGIC AND THEOLOGY43
- ACKNOWLEDGEMENTS57
- BIBLIOGRAPHY57
- Chapter 2 Logic at the Turn of the Twelfth Century65
- 1 THE CURRICULUM65
- 2 THE FORM OF COMMENTARIES66
- 3 THE ‘EARLY TWELFTH-CENTURY’ COMMENTARIES68
- 4 THE TREATISES AND THEIR FORM70
- 5 LOGIC AND THE TRIVIUM72
- 6 TESTIMONIES AND KNOWN MASTERS73
- 7 PHILOSOPHICAL THEMES TO BE EXPLORED75
- BIBLIOGRAPHY79
- Chapter 3 Peter Abelard and his Contemporaries83
- PART 1: ABELARD ON WORDS, CATEGORICAL PROPOSITIONS AND CATEGORICAL SYLLOGISMS85
- PART 2: ABELARD ON TOPICS, HYPOTHETICAL PROPOSITIONS AND HYPOTHETICAL SYLLOGISMS121
- PART 3: ABELARD’S CONTEMPORARIES142
- BIBLIOGRAPHY151
- Chapter 4 The Development of Supposition Theory in the Later 12th through 14th Centuries157
- INTRODUCTION157
- 1 CORE ELEMENTS OF MEDIEVAL LOGIC158
- 2 EXTENDING CATEGORICAL PROPOSITIONS173
- 3 SIGNIFICATION AND SUPPOSITION186
- 4 TYPES OF SUPPOSITION192
- 5 AMPLIATION AND RESTRICTION202
- 6 NON-EXTENSIONAL CONTEXTS215
- 7 MODES OF SUPPOSITION: THE EARLY VIEW222
- 8 MODES OF SUPPOSITION: THE LATER VIEW241
- 9 ISSUES ABOUT MODES OF SUPPOSITION266
- ACKNOWLEDGEMENTS276
- BIBLIOGRAPHY276
- Chapter 5 The Assimilation of Aristotelian and Arabic Logic up to the Later Thirteenth Century281
- 1 INTRODUCTION281
- 2 BACKGROUND282
- 3 ARABIC LOGIC IN LATIN284
- 4 THE COMMENTARIES ON ARISTOTLE’S ORGANON302
- 5 TREATISES ON LOGIC314
- 6 CONCLUSIONS342
- BIBLIOGRAPHY343
- Chapter 6 Logic and Theories of Meaning in the Late 13th and Early 14th Century including the Modist347
- INTRODUCTION347
- PART I: THEORIES OF MEANING349
- PART II: THE LOGIC OF INTENTIONS370
- BIBLIOGRAPHY385
- Chapter 7 The Nominalist Semantics of Ockham and Buridan: A ‘Rational Reconstruction’389
- SOME HISTORICAL-PHILOSOPHICAL PRELIMINARIES389
- SOME METHODOLOGICAL PROVISOS390
- VIA ANTIQUA SEMANTICS392
- OCKHAM’S COMPLAINTS405
- OCKHAM’S ALTERNATIVE407
- BURIDAN’S SEMANTICS414
- CONCLUSION: RECONSTRUCTING MEDIEVAL LOGIC427
- APPENDIX430
- Chapter 8 Logic in the 14th Century after Ockham433
- 1 NAMES, DATES AND PLACES434
- 2 SEMANTICS448
- 3 CONSEQUENCES467
- 4 OBLIGATIONS484
- ACKNOWLEDGEMENTS498
- BIBLIOGRAPHY498
- Chapter 9 Medieval Modal Theories and Modal Logic505
- 1 GENERAL SEMANTIC PARADIGMS FROM BOETHIUS TO THOMAS AQUINAS507
- 2 MODAL SEMANTICS AND MODAL LOGIC IN TWELFTH AND THIRTEENTH CENTURIES531
- 3 LATER MEDIAEVAL DEVELOPMENTS549
- 4 APPLIED MODAL LOGIC559
- CONCLUDING REMARKS567
- BIBLIOGRAPHY569
- Chapter 10 Treatments of the Paradoxes of Self-reference579
- INSOLUBILIA MONACENSIA580
- ‘THE POSITUM IS FALSE’ AS THE POSITUM583
- THOMAS BRADWARDINE586
- RICHARD KILVINGTON595
- WILLIAM HEYTESBURY597
- JOHN BURIDAN600
- BIBLIOGRAPHY606
- Chapter 11 Developments in the Fifteenth and Sixteenth Centuries609
- INTRODUCTION609
- Part One: Historical Overview611
- 1 ARISTOTLE: TEXTS AND COMMENTARIES611
- 2 THE FATE OF THE MEDIEVAL CONTRIBUTIONS TO LOGIC618
- 3 THE NEW TEXTBOOKS624
- Part Two: Claims about Humanist Logic630
- 1 LORENZO VALLA631
- 2 DIALECTIC AND PROBABILITY632
- 3 RHETORIC AND ITS RELATION TO DIALECTIC636
- 4 INFORMAL ARGUMENTATION638
- CONCLUSION642
- Chapter 12 Relational Logic of Juan Caramuel645
- 1 INTRODUCTION645
- 2 CARAMUEL’S LOGIC646
- 3 RELATIONAL LOGIC654
- BIBLIOGRAPHY664
- Chapter 13 Port Royal: The Stirrings of Modernity667
- 1 INTRODUCTION667
- 2 THE NATURE OF LOGIC668
- 3 IDEAS OR TERMS671
- 4 PROPOSITIONS674
- 5 COMPOUND PROPOSITIONS AND INCIDENTAL OR SUBORDINATE PROPOSITIONS683
- 6 CATEGORICAL SYLLOGISMS685
- 7 A GENERAL METHOD FOR EVALUATING SYLLOGISMS689
- 8 SYLLOGISMS OF PROPOSITIONAL LOGIC691
- 9 DILEMMAS AND FALLACIES692
- 10 METHOD695
- 11 PROBABILITY AND CONTINGENT REASONING697
- BIBLIOGRAPHY698
- Index701
Book details
- Vendor Elsevier S & T
- SKU 9780444516251
- ISBN-13 9780080560854
- Author Gabbay, Dov M.; Woods, John
- Category Philosophy
- Subject Logic
Do you have questions about this book?
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
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
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