Mediaeval and Renaissance Logic

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Dov M. Gabbay, John Woods
Elsevier, Mar 14, 2008 - Mathematics - 728 pages
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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
 

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Contents

The Latin Tradition Logic before 1100
1
Logic at the Turn of the Twelfth Century
65
Peter Abelard and his Contemporaries
83
The Development of Supposition Theory in the Later 12th through 14th Centuries
157
The Assimilation of Aristotelian and Arabic Logic up to the Later Thirteenth Century
281
Logic and Theories of Meaning in the Late 13th and Early 14th Century including the Modistae
347
A Rational Reconstruction
389
Logic in the 14th Century after Ockham
433
Medieval Modal Theories and Modal Logic
505
Treatments of the Paradoxes of Selfreference
579
Developments in the Fifteenth and Sixteenth Centuries
609
Relational Logic of Juan Caramuel
645
The Stirrings of Modernity
667
Index
701
Copyright

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About the author (2008)

Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

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