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" Augustus De Morgan and the Logic of Relations "
by Daniel D. Merrill.
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BL
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| Record Number
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724260
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b543979
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| Main Entry
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by Daniel D. Merrill.
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| Title & Author
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Augustus De Morgan and the Logic of Relations\ by Daniel D. Merrill.
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| Publication Statement
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Dordrecht: Springer Netherlands, 1990
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| Series Statement
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New Synthese Historical Library, Texts and Studies in the History of Philosophy, 38.
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(272 pages).
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| ISBN
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9400920474
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: 9789400920477
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| Contents
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I. The Traditional Syllogism --;1. Whately and the Revival of Formal Logic --;2. Euclid and the Syllogism --;3. Reid, Hamilton and Mansel on Relational Inferences --;II. First Thoughts on the Copula --;1. The Two Copulas --;2. First Notions of Logic --;3. Relations and Identity --;III. Generalizing the Copula --;1. The Abstract Copula --;2. The Bicopular Syllogism and the Composition of Relations --;3. Oblique Inferences and De Morgan's Dictum --;IV. The Problem of Form and Matter --;1. 'Sundry Perversions of the Syllogistic Form' --;2. The Material Copula --;3. De Morgan's Response --;4. The Issues --;5. Heads and Tails --;V. The Logic of Relations --;1. Philosophical Preliminaries --;2. General Logic of Relations --;3. Properties of Relations --;4. Singular Relational Syllogisms (Unit Syllogisms) --;5. Quantified Relational Syllogisms --;6. The Limited Unit Syllogism --;7. The Ordinary Syllogism and the Relational Syllogism --;VI. The Logic of Relations and the Theory of the Syllogism --;1. The Two Views --;2. Objective View-The Basic Account --;3. Objective View-The Relational Form --;4. The Subjective View --;VII. Logic and Mathematics --;1. 'A Mathematical Logic' --;2. Algebraic Techniques and Analogies in Logic --;3. Logic and Geometrical Proof --;4. Logic and Algebraic Reasoning --;5. Form in Algebra and Logic --;6. Conclusions --;VIII. A Rigorous Formulation --;1. Basic Issues --;2. The System D --;3. Properties of Inclusion and Identity --;4. De Morgan's Basic Identities --;5. Theorem K --;6. Properties of Relations --;7. Additional Inclusion Laws --;8. The Full System of Three-Relation Terms --;9. De Morgan's Logic with Identity --;10. More Properties of Relations --;11. A Surrogate for Quantification Theory --;12. Postscript-1864 --;13. De Morgan's Conjectures --;Notes.
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| Abstract
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The middle years of the nineteenth century saw two crucial develop- ments in the history of modern logic: George Boole's algebraic treat- ment of logic and Augustus De Morgan's formulation of the logic of relations.
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Logic.
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Philosophy (General)
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Philosophy, Modern.
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| Added Entry
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Daniel D Merrill
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