Formal Logic Or The Calculus Of Inference Necessary And Probable By Augustus De Morgan
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Formal Logic Or The Calculus Of Inference Necessary And Probable By Augustus De Morgan
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1847
Formal Logic Or The Calculus Of Inference Necessary And Probable By Augustus De Morgan 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 categories.
Formal Logic
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1926
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 1926 with Logic, Symbolic and mathematical categories.
Formal Logic
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Author : Augustus de Morgan
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
Formal Logic written by Augustus de Morgan and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
Formal Logic Or The Calculus Of Inference Necessary And Probable
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 2014
Formal Logic Or The Calculus Of Inference Necessary And Probable 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 2014 with Logic, Symbolic and mathematical categories.
From the end of antiquity to the middle of the nineteenth century it was generally believed that Aristotle had said all that there was to say concerning the rules of logic and inference. One of the ablest British mathematicians of his age, Augustus De Morgan (1806-71) played an important role in overturning that assumption with the publication of this book in 1847. He attempts to do several things with what we now see as varying degrees of success. The first is to treat logic as a branch of mathematics, more specifically as algebra. Here his contributions include his laws of complementation and the notion of a universe set. De Morgan also tries to tie together formal and probabilistic inference. Although he is never less than acute, the major advances in probability and statistics at the beginning of the twentieth century make this part of the book rather less prophetic.
Augustus De Morgan Polymath
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Author : Karen Attar
language : en
Publisher: Open Book Publishers
Release Date : 2024-09-04
Augustus De Morgan Polymath written by Karen Attar and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-04 with Mathematics categories.
When Augustus De Morgan died in 1871, he was described as ‘one of the profoundest mathematicians in the United Kingdom’ and even as ‘the greatest of our mathematicians’. But he was far more than just a mathematician. Because much of his voluminous written output on various subjects was scattered throughout journals and encyclopaedias, the breadth of his interests and contributions has been underappreciated by historians. Now, renewed interest in De Morgan’s life and work has coincided with the digitization of his extensive library, revealing the extent to which he pioneered and influenced the development of not merely mathematics but also logic, astronomy, the history of mathematics, education, and bibliography. This edited collection celebrates De Morgan as a polymath. Drawing together multiple elements of his activity from a range of publications and archives, its contributors re-assess his academic work, his place in his intellectual environment, and his legacy. The result offers new insight into De Morgan himself as well as the wider circles in which he moved, including his family life.
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.
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.
Boole S Logic And Probability
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Author : T. Hailperin
language : en
Publisher: Elsevier
Release Date : 1986-10-01
Boole S Logic And Probability written by T. Hailperin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-01 with Mathematics categories.
Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition.Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.
The Athenaeum
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Author :
language : en
Publisher:
Release Date : 1853
The Athenaeum written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1853 with Arts categories.