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Titlebook: Augustus De Morgan and the Logic of Relations; Daniel D. Merrill Book 1990 Kluwer Academic Publishers 1990 Euclid.formal logic.history of

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发表于 2025-3-21 16:06:28 | 显示全部楼层 |阅读模式
期刊全称Augustus De Morgan and the Logic of Relations
影响因子2023Daniel D. Merrill
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学科分类The New Synthese Historical Library
图书封面Titlebook: Augustus De Morgan and the Logic of Relations;  Daniel D. Merrill Book 1990 Kluwer Academic Publishers 1990 Euclid.formal logic.history of
影响因子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. The former episode has been studied extensively; the latter, hardly at all. This is a pity, for the most central feature of modern logic may well be its ability to handle relational inferences. De Morgan was the first person to work out an extensive logic of relations, and the purpose of this book is to study this attempt in detail. Augustus De Morgan (1806-1871) was a British mathematician and logician who was Professor of Mathematics at the University of London (now, University College) from 1828 to 1866. A prolific but not highly original mathematician, De Morgan devoted much of his energies to the rather different field of logic. In his Formal Logic (1847) and a series of papers "On the Syllogism" (1846-1862), he attempted with great ingenuity to reformulate and extend the tradi­ tional syllogism and to systematize modes of reasoning that lie outside its boundaries. Chief among these is the logic of relations. De Mor­ gan‘s interest in relations culminated in his im
Pindex Book 1990
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The Traditional Syllogism,ious point is De Morgan’s recognition of irreducibly relational inferences: without relational inferences that cannot be handled adequately by traditional logic, there would be little point in devising a new logic for that purpose. His other major claim concerns the very subject matter of logic. Tra
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The Problem of Form and Matter,t significant review of these writings was written by Henry L. Mansel and published in 1851. It claimed that most of De Morgan’s innovations in . fall outside the domain of formal logic. The chief offender was the doctrine of the abstract copula, for it erred in both its analysis of judgment and its
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The Logic of Relations, logic of relations. In this chapter, we will discuss De Morgan’s central contribution to the logic of relations, which he published in 1860 under the title, “On the Syllogism: IV and on the Logic of Relations.” In this classic memoir, De Morgan moves beyond his relational analysis of the syllogism
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The New Synthese Historical Libraryhttp://image.papertrans.cn/b/image/165574.jpg
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https://doi.org/10.1007/978-94-009-2047-7Euclid; formal logic; history of mathematics; logic; syllogism
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