Download or read book Aristotle s Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Aristotle s Modal Syllogistic written by Marko Malink and published by Harvard University Press. This book was released on 2013-11-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.
Download or read book Aristotle s Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Greek Foundations of Traditional Logic written by Ernst Kapp and published by New York : AMS Press, 1967 [c1942]. This book was released on 1967 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aristotelian Logic written by William Thomas Parry and published by SUNY Press. This book was released on 1991-01-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an international research and development conference, Tuscon, Arizona, October 1985. One hundred and twenty-eight papers are presented in this hefty volume. They are grouped into chapters covering climate, underutilized plants, irrigation and water management, biosphere reserves, water policy, animal resources, desert ecology, crop physiology and agronomy, urban environments, desertification, land intensification, and other topics related to the economy and management of arid lands. Provides detailed treatment of topics in traditional logic: theory of terms, theory of definition, informal fallacies, and division and classification.
Download or read book The Aftermath of Syllogism written by Marco Sgarbi and published by Bloomsbury Publishing. This book was released on 2018-01-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.
Download or read book Aristotle s Syllogistic written by Jan Łukasiewicz and published by . This book was released on 1967 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aristotle s Theory of the Syllogism written by G. Patzig and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is the English version of a monograph 'Die aristotelische Syllogistik', which first appeared ten years ago in the series of Abhand 1 lungen edited by the Academy of Sciences in Gottingen. In the preface to the English edition, I would first like to express my indebtedness to Mr. J. Barnes, now fellow of Oriel College, Oxford. He not only translated what must have been a difficult text with exemplary precision and ingenuity, but followed critically every argument and check ed every reference. While translating it, he has improved the book. Of those changes which I have made on Mr. Barnes' suggestion I note only the more important ones on pages 4, 12, 24sq, 32, 39, 6lsq, and 158. Since the second edition of the German text appeared in 1963 some further reviews have been published, or come to my notice, which I have 2 been able to make use of in improving the text of this new edition. I must mention here especially the detailed critical discussions of my results and arguments published by Professor W. Wieland in the Philosophische Rundschau 14 (1966), 1-27 and by Professor E. Scheibe in Gnomon 39 (1967), 454-64. Both scholars, while agreeing with the main drift and method of my interpretation, criticise some of my results and disagree with some of my arguments. It would not be possible to discuss these technical matters here with the necessary thoroughness.
Download or read book Analysis of Aristotle s logic with remarks written by Thomas Reid and published by . This book was released on 1806 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Three Logicians written by George Englebretsen and published by . This book was released on 1981 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bad Arguments written by Robert Arp and published by John Wiley & Sons. This book was released on 2018-10-29 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely and accessible guide to 100 of the most infamous logical fallacies in Western philosophy, helping readers avoid and detect false assumptions and faulty reasoning You’ll love this book or you’ll hate it. So, you’re either with us or against us. And if you’re against us then you hate books. No true intellectual would hate this book. Ever decide to avoid a restaurant because of one bad meal? Choose a product because a celebrity endorsed it? Or ignore what a politician says because she’s not a member of your party? For as long as people have been discussing, conversing, persuading, advocating, proselytizing, pontificating, or otherwise stating their case, their arguments have been vulnerable to false assumptions and faulty reasoning. Drawing upon a long history of logical falsehoods and philosophical flubs, Bad Arguments demonstrates how misguided arguments come to be, and what we can do to detect them in the rhetoric of others and avoid using them ourselves. Fallacies—or conclusions that don’t follow from their premise—are at the root of most bad arguments, but it can be easy to stumble into a fallacy without realizing it. In this clear and concise guide to good arguments gone bad, Robert Arp, Steven Barbone, and Michael Bruce take readers through 100 of the most infamous fallacies in Western philosophy, identifying the most common missteps, pitfalls, and dead-ends of arguments gone awry. Whether an instance of sunk costs, is ought, affirming the consequent, moving the goal post, begging the question, or the ever-popular slippery slope, each fallacy engages with examples drawn from contemporary politics, economics, media, and popular culture. Further diagrams and tables supplement entries and contextualize common errors in logical reasoning. At a time in our world when it is crucial to be able to identify and challenge rhetorical half-truths, this bookhelps readers to better understand flawed argumentation and develop logical literacy. Unrivaled in its breadth of coverage and a worthy companion to its sister volume Just the Arguments (2011), Bad Arguments is an essential tool for undergraduate students and general readers looking to hone their critical thinking and rhetorical skills.
Download or read book Aristotle s Syllogistic from the Standpoint of Modern Formal Logic written by Jan Łukasiewicz and published by . This book was released on 1951 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Knowledge and Demonstration written by Orna Harari and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.
Download or read book On the Syllogism written by Augustus De Morgan and published by Routledge. This book was released on 2019-09-17 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hypothetical Syllogistic and Stoic Logic written by Anthony Speca and published by BRILL. This book was released on 2016-06-21 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uncovers and examines the confusion in antiquity between Aristotle’s hypothetical syllogistic and Stoic logic, and offers a fresh perspective on the development of Aristotelian logic through to the early Middle Ages.
Download or read book Prior Analytics written by Aristotle and published by Aeterna Press. This book was released on 2015-09-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Prior Analytics (Greek: ????????? ???????; Latin: Analytica Priora) is Aristotle’s work on deductive reasoning, which is known as his syllogistic. Being one of the six extant Aristotelian writings on logic and scientific method, it is part of what later Peripatetics called the Organon. Aeterna Press
Download or read book Aristotle on Fallacies written by Aristotle and published by . This book was released on 1866 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
