Augustus De Morgan And The Logic Of Relations
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Augustus De Morgan And The Logic Of Relations
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Author : Daniel D. Merrill
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Augustus De Morgan And The Logic Of Relations written by Daniel D. Merrill and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
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 important memoir, "On the Syllogism: IV and on the Logic of Relations," read in 1860.
On The Syllogism
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Author : Augustus De Morgan
language : en
Publisher: Routledge
Release Date : 2019-09-17
On The Syllogism written by Augustus De Morgan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-17 with Philosophy categories.
Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism. These are collected together with the more condensed accounts of his researches given in his Syllabus of a Proposed System of Logic an article on Logic contributed to the English Cyclopaedia. De Morgan was among the most distinguished of nineteenth century British mathematicians but is chiefly remembered today as one of the founders of modern mathematical logic. His writings on this subject have been little read, however since apart from his Formal Logic, they lie buried for the most part in inaccessible periodicals. De Morgan’s own later amendments are inserted in the text and the editorial introduction gives a summary of the whole and traces in some detail the course of the once-famous feud with Sir William Hamilton of Edinburgh.
Aristotle S Syllogism And The Creation Of Modern Logic
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Author : Lukas M. Verburgt
language : en
Publisher: Bloomsbury Publishing
Release Date : 2023-01-26
Aristotle S Syllogism And The Creation Of Modern Logic written by Lukas M. Verburgt and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-26 with Philosophy categories.
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Formal Logic
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1847
Formal Logic written by Augustus De Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1847 with Logic categories.
Syllabus Of A Proposed System Of Logic
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1860
Syllabus Of A Proposed System Of Logic written by Augustus De Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1860 with Logic categories.
On The Syllogism
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Author : Augustus De Morgan
language : en
Publisher: Routledge
Release Date : 2019-09-17
On The Syllogism written by Augustus De Morgan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-17 with Philosophy categories.
Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism. These are collected together with the more condensed accounts of his researches given in his Syllabus of a Proposed System of Logic an article on Logic contributed to the English Cyclopaedia. De Morgan was among the most distinguished of nineteenth century British mathematicians but is chiefly remembered today as one of the founders of modern mathematical logic. His writings on this subject have been little read, however since apart from his Formal Logic, they lie buried for the most part in inaccessible periodicals. De Morgan’s own later amendments are inserted in the text and the editorial introduction gives a summary of the whole and traces in some detail the course of the once-famous feud with Sir William Hamilton of Edinburgh.
Memoir Of Augustus De Morgan
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Author : Sophia Elizabeth De Morgan
language : en
Publisher:
Release Date : 1882
Memoir Of Augustus De Morgan written by Sophia Elizabeth De Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1882 with Mathematicians categories.
Generations Of Reason
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Author : Joan L. Richards
language : en
Publisher: Yale University Press
Release Date : 2021-10-26
Generations Of Reason written by Joan L. Richards and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-26 with Science categories.
An intimate, accessible history of British intellectual development across the eighteenth and nineteenth centuries, through the story of one family This book recounts the story of three Cambridge-educated Englishmen and the women with whom they chose to share their commitment to reason in all parts of their lives. The reason this family embraced was an essentially human power with the potential to generate true insight into all aspects of the world. In exploring the ways reason permeated three generations of English experience, this book casts new light on key developments in English cultural and political history, from the religious conformism of the eighteenth century through the Napoleonic era into the Industrial Revolution and prosperity of the Victorian age. At the same time, it restores the rich world of the essentially meditative, rational sciences of theology, astronomy, mathematics, and logic to their proper place in the English intellectual landscape. Following the development of their views over the course of an eventful one hundred years of English history illuminates the fine structure of ways reason still operates in our world.
The Rise Of Modern Logic From Leibniz To Frege
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2004-03-08
The Rise Of Modern Logic From Leibniz To Frege written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Mathematics categories.
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.
Formal Logic Or The Calculus Of Inference
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Author : Augustus De Morgan
language : en
Publisher: Elibron Classics
Release Date : 2002
Formal Logic Or The Calculus Of Inference written by Augustus De Morgan and has been published by Elibron Classics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Logic, Symbolic and mathematical categories.
This Elibron Classics title is a reprint of the original edition published by Taylor and Walton, 1847, London