Articulating Medieval Logic

Hardcover | March 27, 2014

byTerence Parsons

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Terence Parsons presents a new study of the development and logical complexity of medieval logic. Basic principles of logic were used by Aristotle to prove conversion principles and reduce syllogisms. Medieval logicians expanded Aristotle's notation in several ways, such as quantifyingpredicate terms, as in "No donkey is every animal", and allowing singular terms to appear in predicate position, as in "Not every donkey is Brownie"; with the enlarged notation come additional logical principles. The resulting system of logic is able to deal with relational expressions, as in DeMorgan's puzzles about heads of horses. A crucial issue is a mechanism for dealing with anaphoric pronouns, as in "Every woman loves her mother". Parsons illuminates the ways in which medieval logic is as rich as contemporary first-order symbolic logic, though its full potential was not envisaged at the time. Along the way, he provides adetailed exposition and examination of the theory of modes of common personal supposition, and the useful principles of logic included with it. An appendix discusses the artificial signs introduced in the fifteenth century to alter quantifier scope.

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Terence Parsons presents a new study of the development and logical complexity of medieval logic. Basic principles of logic were used by Aristotle to prove conversion principles and reduce syllogisms. Medieval logicians expanded Aristotle's notation in several ways, such as quantifyingpredicate terms, as in "No donkey is every animal",...

Terence Parsons was born and raised in Endicott, New York. He attended the University of Rochester as a physics major, receiving a BA degree. He received a PhD in Philosophy from Stanford University. He was a full time faculty member at the University of Illinois at Chicago from 1965 to 1972, at the University of Massachusetts at Amhe...

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Format:HardcoverDimensions:272 pages, 9.21 × 6.14 × 0.98 inPublished:March 27, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199688842

ISBN - 13:9780199688845

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Table of Contents

PrefaceIntroduction1. An Overview of Aristotelian Logic as seen by Medieval Logicians2. Aristotle's Proofs of Conversions and Syllogisms3. Quantifying Predicates, Singular Term Predicates, Negative Terms4. Linguish5. Expanding the Notation6. Some Illustrative Topics7. Modes of Personal Supposition8. Relatives (Anaphoric Words)9. Comparison of Medieval Logic with Contemporary Logic10. Ampliation and RestrictionAppendix: Artificial Quantifiers in Early 16th Century LogicBibliographyIndex