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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Articulating Medieval Logic (Hardcover)
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Articulating Medieval Logic (Hardcover)
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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 quantifying predicate 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 De
Morgan'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 a detailed 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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