Numerically Exceptive Logic: A Reduction of the Classical Syllogism (American University Studies) - Hardcover

Murphree, Wallace A.

 
9780820414492: Numerically Exceptive Logic: A Reduction of the Classical Syllogism (American University Studies)

Synopsis

The thesis of this important new direction in classical logic is that the syllogism is an inherently numerical form of entailment - a position in direct opposition to the perennial view. In the book the author shows both that the propositions of classical logic make implicit numerical claims, and also that alternative numerical values can be substituted for these implicit ones to yield a logic whose quantifiers are infinitely flexible. A significant aspect of this work is the development of a «schematic» which clearly exhibits the validity or invalidity of each categorical argument, whether it be classically or numerically extended.

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About the Author

The Author: Wallace A. Murphree received his B.A. from The University of Montevallo (formerly Alabama College), and his M.A. and Ph.D. from Vanderbilt University. He has taught at Mississippi State University since the inception of its Department of Philosophy and Religion in 1967, serving as Department Head from 1980 through 1987.

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