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On Reduplication
Logical Theories of Qualification
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On Reduplication is a study of the logical properties of reduplicative propositions, that is, of propositions having qualifications, like 'Christ qua God is a creature' and 'being qua being is the subject of metaphysics'. The focus is on what ways qualifications change the truth value and the inference patterns of simple, categorical propositions. The central class of reduplications is that in which the qualifications are introduced by a qua connective like 'qua', 'insofar as', 'under the concept of', or 'in virtue of the fact that'. Reduplicative propositions occur frequently and importantly in both traditional and contemporary philosophical works, but there has been little modern analysis of them.
This study presents, compares and analyzes the different theories of reduplication that have arisen in Western philosophy. Texts are presented and explicated, and their significance is weighed relative to modern logical theory. Throughout this study, some important applications of theories of reduplication are noted, such as Leibniz's qualification of the principle of the Identity of Indiscernibles, Ockham's reduction of abstract entities, and Aquinas's view on the Incarnation.
This study presents, compares and analyzes the different theories of reduplication that have arisen in Western philosophy. Texts are presented and explicated, and their significance is weighed relative to modern logical theory. Throughout this study, some important applications of theories of reduplication are noted, such as Leibniz's qualification of the principle of the Identity of Indiscernibles, Ockham's reduction of abstract entities, and Aquinas's view on the Incarnation.
Allan T. Bäck, Ph.D. (1979) in Philosophy, University of Texas at Austin, is a Professor in the Department of Philosophy at Kutztown University. He has published widely in the history and philosophy of logic and its applications.
Preface
Introduction
Book 1 Aristotle's Theory of Qua Propositions
I. Essential Qua Propositions
II. Essential Qua Propositions: Supplementary Texts
III. Accidental Qua Propositions
Book 2 Origins od the Medieval Theory of Reduplication
IV. Islamic Philosophers on Qua Propositions
V. Medieval Precursors of the Theory of Reduplication
Book 3Medieval philosphers on Reduplicative Propositions
VI. Reduplicative Propositions as Determinations
VII. The Fallacy of Secundum Quid Et simpliciter
VIII. The Exposition of Reduplicative Propositions
IX. The Conversion of Reduplicative Propositions
X. The Reduplicative Syllogistic
XI. The Supposition of Reduplicative Propositions
XII. Applications of Reduplicative Propositions
Book 4 The Post-Medieval Period
XIII. Classifications and Truth Conditions of Qua Propositions
XIV. Inference Patterns of Reduplicative Propositions: Suppositions, Consequences, and Syllogisms
XV. Inference Patterns of Accidental Qua Propositions
XVI. Sophisms and Applications
Book 5 Contemporary Perspectives on Qua Propositions
XVII. Modern Views on Reduplication
XVIII. Results
Bibliography
Index of Numbered Propositions
General Index
Introduction
Book 1 Aristotle's Theory of Qua Propositions
I. Essential Qua Propositions
II. Essential Qua Propositions: Supplementary Texts
III. Accidental Qua Propositions
Book 2 Origins od the Medieval Theory of Reduplication
IV. Islamic Philosophers on Qua Propositions
V. Medieval Precursors of the Theory of Reduplication
Book 3Medieval philosphers on Reduplicative Propositions
VI. Reduplicative Propositions as Determinations
VII. The Fallacy of Secundum Quid Et simpliciter
VIII. The Exposition of Reduplicative Propositions
IX. The Conversion of Reduplicative Propositions
X. The Reduplicative Syllogistic
XI. The Supposition of Reduplicative Propositions
XII. Applications of Reduplicative Propositions
Book 4 The Post-Medieval Period
XIII. Classifications and Truth Conditions of Qua Propositions
XIV. Inference Patterns of Reduplicative Propositions: Suppositions, Consequences, and Syllogisms
XV. Inference Patterns of Accidental Qua Propositions
XVI. Sophisms and Applications
Book 5 Contemporary Perspectives on Qua Propositions
XVII. Modern Views on Reduplication
XVIII. Results
Bibliography
Index of Numbered Propositions
General Index
Logicians, philosophers, historians of these disciplines; classicists, scholars in medieval studies.