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Author: G. Patzig Publisher: Springer Science & Business Media ISBN: 9401707871 Category : Philosophy Languages : en Pages : 232
Book Description
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.
Author: G. Patzig Publisher: Springer Science & Business Media ISBN: 9401707871 Category : Philosophy Languages : en Pages : 232
Book Description
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.
Author: Augustus De Morgan Publisher: Routledge ISBN: 0429514824 Category : Philosophy Languages : en Pages : 386
Book Description
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.
Author: Nicholas Rescher Publisher: University of Pittsburgh Pre ISBN: 0822975610 Category : Philosophy Languages : en Pages : 104
Book Description
In this book, Nicholas Rescher seeks to settle debates about whether Galen originated the fourth figure of the categorical syllogism. For his definitive evidence, Rescher examines Arabic sources, one of which is "On the Fourth Figure of the Syllogism" by twelfth-century mathematician Ibn al-Salah, and is reproduced here in Arabic with an annotated English translation. Rescher also explores the history and importance of the syllogistic figures in the evolution of logic in Islamic and European cultures, and discusses the debate about the actual number of syllogistic figures.
Author: Marco Sgarbi Publisher: Bloomsbury Publishing ISBN: 1350043532 Category : Philosophy Languages : en Pages : 232
Book Description
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.
Author: Marko Malink Publisher: Harvard University Press ISBN: 0674727541 Category : Philosophy Languages : en Pages : 250
Book Description
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.
Author: Lukas M. Verburgt Publisher: Bloomsbury Publishing ISBN: 1350228869 Category : Philosophy Languages : en Pages : 321
Book Description
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.
Author: James Fredal Publisher: Penn State Press ISBN: 0271086815 Category : Language Arts & Disciplines Languages : en Pages : 310
Book Description
Central to rhetorical theory, the enthymeme is most often defined as a truncated syllogism. Suppressing a premise that the audience already knows, this rhetorical device relies on the audience to fill in the missing information, thereby making the argument more persuasive. James Fredal argues that this view of the enthymeme is wrong. Presenting a new exegesis of Aristotle and classic texts of Attic oratory, Fredal shows that the standard reading of Aristotle’s enthymeme is inaccurate—and that Aristotle himself distorts what enthymemes are and how they work. From close analysis of the Rhetoric, Topics, and Analytics, Fredal finds that Aristotle’s enthymeme is, in fact, not syllogistic and is different from the enthymeme as it was used by Attic orators such as Lysias and Isaeus. Fredal argues that the enthymeme, as it was originally understood and used, is a technique of storytelling, primarily forensic storytelling, aimed at eliciting from the audience an inference about a narrative. According to Fredal, narrative rather than formal logic is the seedbed of the enthymeme and of rhetoric more broadly. The Enthymeme reassesses a fundamental doctrine of rhetorical instruction, clarifies the viewpoints of the tradition, and presents a new form of rhetoric for further study and use. This groundbreaking book will be welcomed by scholars and students of classical rhetoric, the history of rhetoric, and rhetorical theory as well as communications studies, classical studies, and classical philosophy.
Author: G. Patzig
Author: G. Patzig
Author: Augustus De Morgan
Author: Nicholas Rescher
Author: Francis Ellingwood Abbot
Author: Marco Sgarbi
Author: Marko Malink
Author: Georg Wilhelm Friedrich Hegel
Author: Georg Wilhelm Friedrich Hegel
Author: Lukas M. Verburgt
Author: James Fredal