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Book Aristotle   s Modal Syllogistic

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.

Book Aristotle s Modal Syllogistic

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 382 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. Combining analytic rigor with keen sensitivity to historical context, Marko Malink 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. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts.

Book Aristotle   s Theory of the Syllogism

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.

Book The Aftermath of Syllogism

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 233 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.

Book Aristotelian Logic

    Book Details:
  • Author : William T. Parry
  • Publisher : State University of New York Press
  • Release : 1991-09-03
  • ISBN : 1438415575
  • Pages : 560 pages

Download or read book Aristotelian Logic written by William T. Parry and published by State University of New York Press. This book was released on 1991-09-03 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides detailed treatment of topics in traditional logic: the theory of terms; the theory of definition; the informal fallacies; and division and classification. Aristotelian Logic teaches techniques for solving semantic problems — problems caused by confusion over terminology. It teaches the theory of definition — the different kinds of definition and the criteria by which each is judged. It also teaches that definitions are like tools in that some are better suited for a particular task than others. Several chapters are devoted to informal fallacies. A new classification is given for them, and the concept of proof is presented, without which some of the traditional informal fallacies cannot be explained adequately. Another chapter is devoted to division and classification, which occurs in all of the sciences. Other topics covered include the square of opposition, immediate inferences, and the syllogistic and chain arguments.

Book Logical Modalities from Aristotle to Carnap

Download or read book Logical Modalities from Aristotle to Carnap written by Max Cresswell and published by Cambridge University Press. This book was released on 2016-09-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.

Book The Syllogism

Download or read book The Syllogism written by Paul Thom and published by . This book was released on 1981 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Aristotle s Theory of Actuality

Download or read book Aristotle s Theory of Actuality written by Z. Bechler and published by SUNY Press. This book was released on 1995-01-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an attack on Aristotle showing that his misplaced drive toward the consistent application of his actualistic ontology (denying the reality of all potential things) resulted in many of his major theses being essentially vacuous.

Book Knowledge and Demonstration

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.

Book The Virtue of Aristotle s Ethics

Download or read book The Virtue of Aristotle s Ethics written by Paula Gottlieb and published by Cambridge University Press. This book was released on 2009-04-27 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text looks at Aristotle's claims, particularly the much-maligned doctrine of the mean.

Book An Aristotelian Account of Induction

Download or read book An Aristotelian Account of Induction written by Louis Groarke and published by McGill-Queen's Press - MQUP. This book was released on 2009-11-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: In An Aristotelian Account of Induction Groarke discusses the intellectual process through which we access the "first principles" of human thought - the most basic concepts, the laws of logic, the universal claims of science and metaphysics, and the deepest moral truths. Following Aristotle and others, Groarke situates the first stirrings of human understanding in a creative capacity for discernment that precedes knowledge, even logic. Relying on a new historical study of philosophical theories of inductive reasoning from Aristotle to the twenty-first century, Groarke explains how Aristotle offers a viable solution to the so-called problem of induction, while offering new contributions to contemporary accounts of reasoning and argument and challenging the conventional wisdom about induction.

Book Hypothetical Syllogistic and Stoic Logic

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 volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.

Book Aristotle s Syllogism and the Creation of Modern 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.

Book Prior Analytics

    Book Details:
  • Author : Aristotle
  • Publisher : Aeterna Press
  • Release : 2015-09-01
  • ISBN :
  • Pages : 143 pages

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 143 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

Book The Enthymeme

Download or read book The Enthymeme written by James Fredal and published by Penn State Press. This book was released on 2020-03-12 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Aristotle on Fallacies

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:

Book The Philosophy of Argument and Audience Reception

Download or read book The Philosophy of Argument and Audience Reception written by Christopher W. Tindale and published by Cambridge University Press. This book was released on 2015-04-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book approaches the topic of argumentation from the perspective of audiences, rather than the perspective of arguers or arguments.