عنوان

Augustus De Morgan and the Logic of Relations

شابک

9400920474

شابک

9789400920477

شماره

b543979

عنوان اصلي

Augustus De Morgan and the Logic of Relations

نام عام مواد

[Book]

نام نخستين پديدآور

by Daniel D. Merrill.

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer Netherlands

تاریخ نشرو بخش و غیره

1990

نام خاص و کميت اثر

(272 pages).

عنوان فروست

New Synthese Historical Library, Texts and Studies in the History of Philosophy, 38.

متن يادداشت

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.

متن يادداشت

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.

موضوع مستند نشده

Logic.

موضوع مستند نشده

Philosophy (General)

موضوع مستند نشده

Philosophy, Modern.

مستند نام اشخاص تاييد نشده

by Daniel D. Merrill.

مستند نام اشخاص تاييد نشده

Daniel D Merrill

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y